M. Nakao

发表

A numerical approach to the proof of existence of solutions for elliptic problems

M. Nakao, 1988 .

Solving Nonlinear Elliptic Problems with Result Verification Using an H -1 Type Residual Iteration

M. Nakao, 1993 .

Numerical verifications for solutions to elliptic equations using residual iterations with a higher order finite element

M. Nakao, N. Yamamoto, 1995 .

An approach to the numerical verification of solutions for nonlinear elliptic problems with local uniqueness

M. Nakao, N. Yamamoto, K. Nagatou, 1999 .

Decay of solutions of the wave equation with a local degenerate dissipation

M. Nakao, 1996 .

Numerical Verification Methods for Solutions of the Free Boundary Problem

M. Nakao, K. Hashimoto, Kenta Kobayashi, 2005 .

A difference inequality and its application to nonlinear evolution equations

M. Nakao, 1978 .

Eigenvalue Bounds for Self-Adjoint Eigenvalue Problems

M. Plum, M. Nakao, Y. Watanabe, 2019, Springer Series in Computational Mathematics.

On a two-dimensional transmission problem for magnetoelastic materials

Zhuangyi Liu, M. Renardy, V. Komornik, 2006 .

An Instantaneous Acceleration-besed Model of Unsteady Laminar Friction Loss in Gas Pipeline

M. Nakao, 2014 .

Numerical verification of solutions for obstacle problems

Cheon Seoung Ryoo, Mitsuhiro T. Nakao, C. Ryoo, 2001 .

Measurement-integrated simulation of wall pressure measurements using a turbulent model for analyzing oscillating orifice flow in a circular pipe

K. Kawashima, T. Kagawa, M. Nakao, 2011 .

MI simulation of an orifice flow in a circular pipe with different beta ratios

K. Kawashima, T. Kagawa, M. Nakao, 2011, SICE Annual Conference 2011.

Other Problem Types

M. Plum, M. Nakao, Y. Watanabe, 2019, Springer Series in Computational Mathematics.

Global solutions for some nonlinear parabolic equations with nonmonotonic peturbations

M. Nakao, 1986 .

Some improvements of invertibility verifications for second-order linear elliptic operators

M. Nakao, Y. Watanabe, T. Kinoshita, 2020 .

An alternative approach to norm bound computation for inverses of linear operators in Hilbert spaces

M. Nakao, Y. Watanabe, T. Kinoshita, 2019, Journal of Differential Equations.

An enclosure method of eigenvalues for the elliptic operator linearized at an exact solution of nonlinear problems

M. Nakao, K. Nagatou, 2001 .

Energy decay for the wave equation with a nonlinear weak dissipation

M. Nakao, 1995 .

Numerical verification for solutions to partial differential equations

M. Nakao, 2017 .

Gradient Estimates of Periodic Solutions for Some Quasilinear Parabolic Equations

M. Nakao, Y. Ohara, 1996 .

Numerical verification method of solutions for nonlinear elliptic and evolutional problems (Mathematical Analysis of Viscous Incompressible Fluid : RIMS研究集会報告集)

M. Nakao, 2014 .

On verified computations of solutions for nonlinear parabolic problems

M. Nakao, 2014 .

Improvement of the Constructive A Priori Error Estimates for a Fully Discretized Periodic Solution of Heat Equation

Teruya Minamoto, M. Nakao, Takuma Kimura, 2022, Computational Methods in Applied Mathematics.

Some computer assisted proofs on the bifurcation structure of solutions for heat convection problems

M. Nakao, N. Yamamoto, T. Nishida, 2022 .

Numerical verification of solutions for variational inequalities of the second kind

C. Ryoo, M. Nakao, 2002 .

Visualization of Orifice Flow with Measurement-integrated Simulation Using a Turbulent Model

Kenji Kawashima, Toshiharu Kagawa, Mitsuhiro Nakao, 2009 .

Effective feedback algorithm for application of MI-simulation to turbulent orifice flow

K. Kawashima, T. Kagawa, M. Nakao, 2009, 2009 ICCAS-SICE.

Periodic solutions of linear and nonlinear wave equations

M. Nakao, 1976 .

On some regularity of periodic solutions of nonlinear wave equations

M. Nakao, 1975 .

ON THE REGULARITY OF PERIODIC SOLUTIONS TO A CLASS OF NONLINEAR EVOLUTION EQUATIONS

M. Nakao, 1974 .

On periodic solutions of a semilinear hyperbolic parabolic equation

H. Kato, M. Nakao, 1992, Bulletin of the Australian Mathematical Society.

On solutions of the wave equation with a sublinear dissipative term

M. Nakao, 1987 .

Periodic solution and decay for some nonlinear wave equations with sublinear dissipative terms

M. Nakao, 1986 .

Periodic solution of the dissipative wave equation in a time-dependent domain

M. Nakao, 1979 .

An example of nonlinear wave equation whose solutions decay faster than exponentially

M. Nakao, 1987 .

Periodic solutions of the Navier-Stokes equations in unbounded domains

H. Kozono, M. Nakao, 1996 .

Decay of solutions of some nonlinear parabolic inequalities associated with time-dependent convexes

M. Nakao, 1982 .

BOUNDED OR ALMOST PERIODIC CLASSICAL SOLUTIONS FOR SOME NONLINEAR PARABOLIC EQUATIONS

M. Nakao, T. Nanbu, 1976 .

Decay of solutions of some nonlinear evolution equations

Mitsuhiro Nakao, M. Nakao, 1977 .

On a system of nonlinear diffusion equations

M. Nakao, 1984 .

Global Existence and Gradient Estimates for the Quasilinear Parabolic Equations of m-Laplacian Type with a Nonlinear Convection Term

M. Nakao, Caisheng Chen, 2000 .

Gradient estimates for a quasilinear parabolic equation of the mean curvature type

M. Nakao, Y. Ohara, 1996 .

Numerical verification of solutions of parametrized nonlinear boundary value problems with turning points

Takuya Tsuchiya, Mitsuhiro Nakao, M. Nakao, 1997 .

A computer‐assisted instability proof for the Orr‐Sommerfeld problem with Poiseuille flow

Michael Plum, Mitsuhiro Nakao, Yoshitaka Watanabe, 2009 .

Semilinear Elliptic Boundary Value Problems: Abstract Approach and Strong Solutions

M. Plum, M. Nakao, Y. Watanabe, 2019, Springer Series in Computational Mathematics.

Numerical verification of stationary solutions for Navier-Stokes problems

Kouji Hashimoto, Mitsuhiro Nakao, Kaori Nagatou, 2007 .

A computational approach to constructive a priori error estimate for finite element approximations of bi-harmonic problems in nonconvex polygonal domains

Kouji Hashimoto, Mitsuhiro Nakao, Kaori Nagatou, 2006 .

A computational approach to constructive a priori and a posteriori error estimates for finite element approximations of bi-harmonic problems

Kouji Hashimoto, Kaori Nagatou, Mitsuhiro T. Nakao, 2005 .

A Numerical Method to Verify the Invertibility of Linear Elliptic Operators with Applications to Nonlinear Problems

Yoshitaka Watanabe, Mitsuhiro T. Nakao, Kouji Hashimoto, 2005, Computing.

A numerical verification method of bifurcating solutions for 3-dimensional Rayleigh–Bénard problems

Yoshitaka Watanabe, Takaaki Nishida, Myoungnyoun Kim, 2009, Numerische Mathematik.

Remarks on the existence and uniqueness of global decaying solutions of the nonlinear dissipative wave equations

Mitsuhiro Nakao, M. Nakao, 1991 .

Existence of strong and smooth periodic solutions of some nonlinear evolution equations

H. Kato, M. Nakao, 加藤久子, 1983 .

Bounded, periodic and almost periodic classical solutions of some nonlinear wave equations with a dissipative term

M. Nakao, 1978 .

Numerical verification method of solutions for elliptic equations and its application to the Rayleigh-Bénard problem

Mitsuhiro Nakao, Yoshitaka Watanabe, M. Nakao, 2009 .

A numerical verification method for a periodic solution of a delay differential equation

Mitsuhiro T. Nakao, Teruya Minamoto, Teruya Minamoto, 2010, J. Comput. Appl. Math..

Computer-Assisted Proofs for Dynamical Systems

Yoshitaka Watanabe, Mitsuhiro T. Nakao, Michael Plum, 2019, Springer Series in Computational Mathematics.

An attractor for a nonlinear dissipative wave equation of Kirchhoff type

Mitsuhiro Nakao, M. Nakao, 2009 .

Global attractors for nonlinear wave equations with some nonlinear dissipative terms in exterior domains

M. Nakao, 2008 .

Global attractors for nonlinear wave equations with nonlinear dissipative terms

M. Nakao, 2006 .

Asymptotic Stability for Some Nonlinear Evolution Equations of Second Order with Unbounded Dissipative Terms

M. Nakao, 1978 .

Study on Hydraulic Conveying Characteristics by Discharging Plates for Sediment Removal: (2nd Report, Effect of Particle Diameter)@@@（第2報，粒子径の影響）

Minoru Fukuhara, Takashi Fujihara, Mitsuhiro Nakao, 2017 .

On the compactness of a nonlinear operator related to stream function-vorticity formulation for the Navier-Stokes equations

Yoshitaka Watanabe, Mitsuhiro Nakao, Kaori Nagatou, 2017, JSIAM Lett..

Numerical verification of solutions for variational inequalities

Mitsuhiro T. Nakao, Cheon Seoung Ryoo, C. Ryoo, 1998, Numerische Mathematik.

Numerical Verification of Solutions for Nonlinear Elliptic Problems Using anL∞Residual Method☆

Nobito Yamamoto, Mitsuhiro Nakao, M. Nakao, 1998 .

SOME SUPERCONVERGENCE ESTIMATES FOR A COLLOCATION-H-1 -GALERKIN METHOD FOR PARABOLIC PROBLEMS

M. Nakao, 1981 .

Rigorous numerical inclusion of the blow-up time for the Fujita-type equation

S. Oishi, M. Nakao, K. Hashimoto, 2022, Japan Journal of Industrial and Applied Mathematics.

$L^{p}$-estimates of solutions of some nonlinear degenerate diffusion equations

M. Nakao, 1985 .

Existence of an Anti-periodic Solution for the Quasilinear Wave Equation with Viscosity

Mitsuhiro Nakao, M. Nakao, 1996 .

Anti-periodic Solution forutt−(σ(ux))x−uxxt=f(x, t)

Mitsuhiro Nakao, M. Nakao, Hiroko Okochi, 1996 .

A numerical verification method for solutions of singularly perturbed problems with nonlinearity

Kouji Hashimoto, Mitsuhiro Nakao, Yoshitaka Watanabe, 2005 .

On Boundedness, Periodicity, and Almost Periodicity of Solutions of Some Nonlinear Parabolic Equations

Mitsuhiro Nakao, M. Nakao, 1975 .

Error estimates of a Galerkin method for some nonlinear Sobolev equations in one space dimension

Mitsuhiro Nakao, M. Nakao, 1985 .

Global attractor for a quasilinear parabolic equation of mean curvature type

M. Nakao, N. Aris, 2007 .

Existence of global solutions to the Cauchy problem for the semilinear dissipative wave equations

Kosuke Ono, Mitsuhiro Nakao, M. Nakao, 1993 .

Energy decay for a nonlinear generalized Klein-Gordon equation in exterior domains with a nonlinear localized dissipative term

M. Nakao, 2012 .

Existence of global decaying solutions to the exterior problem for the Klein-Gordon equation with a nonlinear localized dissipation and a derivative nonlinearity

M. Nakao, 2013 .

Energy decay to the Cauchy problem for a generalised nonlinear Klein-Gordon equation with a nonlinear dissipative term

M. Nakao, 2011 .

Global existence to the initial-boundary value problem for a system of nonlinear diffusion and wave equations

M. Nakao, 2018 .

GLOBAL EXISTENCE TO THE INITIAL-BOUNDARY VALUE PROBLEM FOR A SYSTEM OF NONLINEAR DIFFUSION AND WAVE EQUATIONS II

M. Nakao, 2018 .

-estimates of solutions of some nonlinear degenerate diﬀusion equations

M. Nakao, S. Mizohata, 2008 .

Numerical Verifications of Solutions for Nonlinear Hyperbolic Equations

M. Nakao, 2013 .

Numerical verification methods for solutions of semilinear elliptic boundary value problems

Mitsuhiro Nakao, Yoshitaka Watanabe, M. Nakao, 2011 .

Global existence to the initial–boundary value problem for a system of semilinear wave equations

M. Nakao, 2016 .

Decay and Global Existence for Nonlinear Wave Equations with Localized Dissipations in General Exterior Domains

Mitsuhiro Nakao, M. Nakao, 2005 .

Energy decay for the linear and semilinear wave equations in exterior domains with some localized dissipations

M. Nakao, 2001 .

Analytic Smoothing Effect for Solutions to Schrödinger Equations with Nonlinearity of Integral

M. Nakao, 2020 .

On global smooth solutions to the initial-boundary value problem for quasilinear wave equations in exterior domains

M. Nakao, 2003 .

Existence of Global Decaying Solutions to the Cauchy Problem for a Nonlinear Dissipative Wave Equation of Klein-Gordon Type with a Derivative Nonlinearity

M. Nakao, 2012 .

Energy decay for the wave equation in exterior domains with some half-linear dissipation

I. Jung, M. Nakao, 2003, Differential and Integral Equations.

Asymptotic stability of the bounded or almost periodic solution of the wave equation with nonlinear dissipative term

M. Nakao, 1977 .

Energy decay for the quasilinear wave equation with viscosity

Mitsuhiro Nakao, M. Nakao, 1995 .

Stabilization of Local Energy in an Exterior Domain for the Wave Equation with a Localized Dissipation

M. Nakao, 1998 .

Total energy decay for the wave equation in exterior domains with a dissipation near infinity

M. Nakao, K. Mochizuki, 2007 .

On the decay property of solutions to the Cauchy problem of the semilinear wave equation with a dissipative term

Kosuke Ono, Mitsuhiro Nakao, Shuichi Kawashima, 1995 .

Global existence of smooth solutions to the initial—boundary value problem for the quasi-linear wave equation with a localized degenerate dissipation

M. Nakao, 2000 .

Decay of solutions of the wave equation with a local nonlinear dissipation

Mitsuhiro Nakao, M. Nakao, 1996 .

Decay of solutions of the wave equation with some localized dissipations

M. Nakao, 1997 .

Decay and global existence for some nonlinear dissipative wave equations

M. Nakao, 1996 .

Energy decay and periodic solution for the wave equation in an exterior domain with half-linear and nonlinear boundary dissipations

M. Nakao, J. Bae, 2007 .

EXISTENCE OF GLOBAL SOLUTIONS FOR THE KIRCHHOFF-TYPE QUASILINEAR WAVE EQUATION IN EXTERIOR DOMAINS WITH A HALF-LINEAR DISSIPATION

M. Nakao, 2004 .

A bifurcation problem for a quasi-linear elliptic boundary value problem

M. Nakao, 1990 .

A numerical verification method for nonlinear functional equations based on infinite-dimensional Newton-like iteration

Yoshitaka Watanabe, Mitsuhiro T. Nakao, M. Nakao, 2016, Appl. Math. Comput..

Numerical verifications of solutions for nonlinear elliptic equations

Mitsuhiro Nakao, Yoshitaka Watanabe, M. Nakao, 1993 .

Newton-Type Approaches in Finite Dimension

Yoshitaka Watanabe, Mitsuhiro T. Nakao, Michael Plum, 2019, Springer Series in Computational Mathematics.

Global solutions to the initial-boundary value problem for the quasilinear viscoelastic equation with a derivative nonlinearity

M. Nakao, 2014 .

Global existence and decay for nonlinear dissipative wave equations with a derivative nonlinearity

M. Nakao, 2012 .

Global and periodic solutions for nonlinear wave equations with some localized nonlinear dissipation

M. Nakao, 2003 .

Energy decay for the wave equation with boundary and localized dissipations in exterior domains

M. Nakao, J. Bae, 2005 .

Remarks on the energy decay for nonlinear wave equations with nonlinear localized dissipative terms

M. Nakao, 2010 .

Decay of solutions to the Cauchy problem for the Klein-Gordon equation with a localized nonlinear dissipation

M. Nakao, 1998 .

Existence of Global Classical Solutions of the Initial-Boundary Value Problem for Some Nonlinear Wave Equations*

M. Nakao, 1990 .

Generation of Arbitrary Pressure Pulsation of Wide Frequency Range for Flow Meter Testing in a Laminar Gas Pipeline

Toshiharu Kagawa, Mitsuhiro Nakao, Tomonori Kato, 2014 .

A numerical verification method for the existence of weak solutions for nonlinear boundary value problems

Mitsuhiro Nakao, M. Nakao, 1992 .

Existence and decay of global solutions of some nonlinear degenerate parabolic equations

M. Nakao, 1985 .

Computer Assisted Proofs of Bifurcating Solutions for Nonlinear Heat Convection Problems

Yoshitaka Watanabe, Mitsuhiro T. Nakao, Nobito Yamamoto, 2010, J. Sci. Comput..

A Numerical Verification of Nontrivial Solutions for the Heat Convection Problem

Nobito Yamamoto, Takaaki Nishida, Mitsuhiro Nakao, 2004 .

Development of Low NOx Combustion System with EGR for 1700°C-class Gas Turbine

Mitsuhiro Nakao, Yusuke Tanaka, Masakazu Nose, 2013 .

On the decay of solutions of some nonlinear dissipative wave equations in higher dimensions

M. Nakao, 1986 .

Constructive A Priori Error Estimates for a Full Discrete Approximation of the Heat Equation

Takehiko Kinoshita, Takuma Kimura, Mitsuhiro T. Nakao, 2013, SIAM J. Numer. Anal..

On the Best Constant in the Error Bound for theH10-Projection into Piecewise Polynomial Spaces

Seiji Kimura, Nobito Yamamoto, Mitsuhiro Nakao, 1998 .

Existence and decay of solutions of some nonlinear wave equations in noncylindrical domains

Mitsuhiro Nakao, M. Nakao, Takashi Narazaki, 1978 .

On global attractor for nonlinear parabolic equations of m-Laplacian type

M. Nakao, N. Aris, 2007 .

The Contact Problem in Thermoviscoelastic Materials

M. Nakao, J. Rivera, 2001 .

Existence of Global Smooth Solutions to the Initial-Boundary Value Problem for the Quasi-Linear Wave Equation with a Degenerate Dissipative Term

M. Nakao, 1992 .

Global existence of classical solutions to the initial-boundary value problem of the semilinear wave equations with a degenerate dissipative term

M. Nakao, 1990 .

EXISTENCE OF GLOBAL DECAYING SOLUTIONS TO THE INITIAL BOUNDARY VALUE PROBLEM FOR QUASILINEAR VISCOELASTIC EQUATIONS OF p-LAPLACIAN TYPE WITH A DERIVATIVE NONLINEARITY

M. Nakao, 2016 .

Global Solutions for Some Nonlinear Parabolic Equations with Non-monotonic Perturbation

M. Nakao, 1985 .

On solutions to the initial-boundary problem for perturbed porous medium equation

M. Nakao, 1982 .

Periodic solutions of some nonlinear degenerate parabolic equations

Mitsuhiro Nakao, M. Nakao, 1984 .

Computer-assisted proof for the stationary solution existence of the Navier-Stokes equation over 3D domains

S. Oishi, Xuefeng Liu, M. Nakao, 2021, Commun. Nonlinear Sci. Numer. Simul..

Numerical verification methods for a system of elliptic PDEs, and their software library

Shin'ichi Oishi, Kouta Sekine, Mitsuhiro T. Nakao, 2021, Nonlinear Theory and Its Applications, IEICE.

Superconvergence of the gradient of Galerkin approximations for elliptic problems

M. Nakao, 1987 .

L∞ ERROR ESTIMATES AND SUPERCONVERGENCE RESULTS FOR A COLLOCATION-H-1-GALERKIN METHOD FOR ELLIPTIC EQUATIONS

M. Nakao, 1985 .

SOME SUPERCONVERGENCE OF GALERKIN APPROXIMATIONS FOR PARABOLIC AND HYPERBOLIC PROBLEMS IN ONE SPACE DIMENSION

M. Nakao, 1985 .

SOME SUPERCONVERGENCE ESTIMATES FOR A GALERKIN METHOD FORELLIPTIC PROBLEMS

M. Nakao, 1984 .