M. Murata

发表

Asymptotic expansions in time for solutions of Schrödinger-type equations

M. Murata, 1982 .

Asymptotics of Green functions and the limiting absorption principle for elliptic operators with periodic coefficients

Tetsuo Tsuchida, M. Murata, 2006 .

Asymptotic behaviors at infinity of solutions of certain linear partial differential equations

D. Fujiwara, M. Murata, 1976 .

Uniqueness of L1 harmonic functions on rotationally symmetric Riemannian manifolds

Tetsuo Tsuchida, M. Murata, 2014 .

Martin compactification and asymptotics of Green functions for Schrödinger operators with anisotropic potentials

M. Murata, 1990 .

Semismall perturbations, semi-intrinsic ultracontractivity, and integral representations of nonnegative solutions for parabolic equations

M. Murata, P. Méndez-Hernández, 2009, 0905.2617.

Uniqueness theorems for parabolic equations and Martin boundaries for elliptic equations in skew product form

M. Murata, 2005 .

Martin Boundaries of Elliptic Skew Products, Semismall Perturbations, and Fundamental Solutions of Parabolic Equations

M. Murata, 2002 .

Uniqueness of nonnegative solutions of the Cauchy problem for parabolic equations on manifolds or domains

Kazuhiro Ishige, M. Murata, 2001 .

Semismall perturbations in the martin theory for elliptic equations

M. Murata, 1997 .

Generalized Cranston-McConnell inequalities and Martin boundaries of unbounded domains

Hiroaki Aikawa, M. Murata, 1996 .

Nonuniqueness of the Positive Dirichlet Problem for Parabolic Equations in Cylinders

M. Murata, 1996 .

Lower bounds at infinity of solutions of partial differential equations in the exterior of a proper cone

Y. Shibata, M. Murata, 1978 .

Finiteness of Negative Spectra of Elliptic Operators

M. Murata, 1985, Canadian Mathematical Bulletin.

Integral representations of nonnegative solutions for parabolic equations and elliptic Martin boundaries

M. Murata, 2007 .

Uniqueness and nonuniqueness of the positive Cauchy problem for the heat equation on Riemannian manifolds

M. Murata, 1995 .

Structure of positive solutions to (−Δ+V) u=0 in Rn

M. Murata, 1986 .

On construction of Martin boundaries for second order elliptic equations

M. Murata, 1990 .

Long time asymptotic expansions of heat kernels for perturbed Hill operators

Minoru Murata, Tetsuo Tsuchida, Tetsuo Tsuchida, 2012, Asymptot. Anal..

High energy resolvent estimates, II, higher order elliptic operators

M. Murata, 1984 .

LARGE TIME ASYMPTOTICS FOR FUNDAMENTAL SOLUTIONS OF DIFFUSION EQUATIONS

M. Murata, 1985 .

High energy resolvent estimates, I, first order operators

M. Murata, 1983 .

Rate of decay of local energy and spectral properties of elliptic operators

M. Murata, 1980 .

Scattering solutions decay at least logarithmically

M. Murata, 1978 .

Positive solutions and large time behaviors of Schrödinger semigroups, Simon's problem

M. Murata, 1984 .

An intrinsic metric approach to uniqueness of the positive Cauchy problem for parabolic equations

Kazuhiro Ishige, M. Murata, 1998 .

Uniform restricted parabolic Harnack inequality, separation principle, and ultracontractivity for parabolic equations

M. Murata, 1993 .

Positive harmonic functions on rotationary symmetric Riemannian manifolds

M. Murata, 1992 .

Rate of decay of local energy and wave operators for symmetric systems

M. Murata, 1979 .

M. Murata, 2003 .

Parabolic Martin Boundaries and Asymptotic Formulas of Heat Kernels for One-Dimensional Elliptic Operators with Periodic Coefficients

Tetsuo Tsuchida, M. Murata, 2010 .