Shigeaki Koike

发表

A New Formulation of State Constraint Problems for First-Order PDEs

H. Ishii, Shigeaki Koike, 1996 .

Pursuit-evasion games with state constraints: dynamic programming and discrete-time approximations

M. Bardi, Pierpaolo Soravia, Shigeaki Koike, 2000 .

Remarks on elliptic singular perturbation problems

H. Ishii, Shigeaki Koike, 1991 .

Viscosity solutions for monotone systems of second-order elliptic PDES

H. Ishii, Shigeaki Koike, 1991 .

Optimal Consumption and Portfolio Choice with Stopping

Shigeaki Koike, H. Morimoto, 2005 .

The LCGT Collaboration

I. Nakatani, K. Kokeyama, S. Márka, 2012 .

Semicontinuous viscosity solutions for Hamilton-Jacobi equations with a degenerate coefficient

Shigeaki Koike, 1997 .

Maximum principle via the iterated comparison function method(Viscosity Solution Theory of Differential Equations and its Developments)

Shigeaki Koike, 2007 .

Viscosity Solutions of a System of Nonlinear Second-Order Elliptic PDEs Arising in Switching Games

H. Ishii, Shigeaki Koike, Funkcialaj Ekvacioj, 2005 .

Remarks on the phragmÉn-lindelÖf theorem for 1p-viscosity solutions of fully nonlinear pdes with unbounded ingredients

Shigeaki Koike, Kazushige Nakagawa, 2009 .

Preface

Shigeaki Koike, 2022, Partial Differential Equations and Applications.

On the rate of convergence of solutions in singular perturbation problems

Shigeaki Koike, 1991 .

Uniqueness of Lower Semicontinuous Viscosity Solutions for the Minimum Time Problem

Isao Nakayama, Olivier Alvarez, Shigeaki Koike, 2000, SIAM J. Control. Optim..

Representation formulas for solutions of isaacs integro-PDE

Andrzej Swiech, Shigeaki Koike, A. Swiech, 2013 .

Regularity results and large time behavior for integro-differential equations with coercive Hamiltonians

Guy Barles, Olivier Ley, Shigeaki Koike, 2014, Calculus of Variations and Partial Differential Equations.

Regularity of Solutions of Obstacle Problems –Old & New–

Shigeaki Koike, 2021 .

A Beginner's Guide to the Theory of Viscosity Solutions

Shigeaki Koike, Shigeaki Koike, 2014 .

Comparison principle for unbounded viscosity solutions of degenerate elliptic PDEs with gradient superlinear terms

Shigeaki Koike, Olivier Ley, 2010, 1010.0105.

Uniqueness of viscosity solutions for monotone systems of fully nonlinear PDEs under Dirichlet condition

Shigeaki Koike, Shigeaki Koike, 1994 .

Non-linear Partial Differential Equations, Viscosity Solution Method in

Shigeaki Koike, Shigeaki Koike, 2009, Encyclopedia of Complexity and Systems Science.

Existence of strong solutions of Pucci extremal equations with superlinear growth in Du

A. Swiech, Shigeaki Koike, 2009 .

Weak Harnack inequality for fully nonlinear uniformly parabolic equations with unbounded ingredients and applications

A. Swiech, Shigeaki Koike, Shota Tateyama, 2018, Nonlinear Analysis.

Maximum principle for fully nonlinear equations via the iterated comparison function method

A. Swiech, Shigeaki Koike, 2007 .

THE MAXIMUM PRINCIPLE FOR VECTOR FIELDS

H. Ishii, Shigeaki Koike, J. Manfredi, 2004 .