Viscosity solutions - Dedicated to Hitoshi Ishii on the award of the 1st Kodaira Kunihiko Prize

Articles (15 in this collection)

1. Preface

   Authors

   • Shigeaki Koike

   • Content type: Preface
   • Published: 10 February 2022

   • Article: 17

2. Hölder gradient estimates on \(L^p\)-viscosity solutions of fully nonlinear parabolic equations with VMO coefficients

   Authors

   • Shota Tateyama

   • Content type: OriginalPaper
   • Published: 09 November 2021

   • Article: 81

3. Local gradient estimates for second-order nonlinear elliptic and parabolic equations by the weak Bernstein’s method

   Authors

   • G. Barles

   • Content type: Original Paper
   • Published: 11 October 2021

   • Article: 71

4. Homogenization of the G-equation: a metric approach

   Authors

   • Antonio Siconolfi

   • Content type: Original Paper
   • Open Access
   • Published: 30 June 2021

   • Article: 50

   

5. Remarks on the generalized Cauchy-Dirichlet problem for graph mean curvature flow with driving force

   Authors

   • Hiroyoshi Mitake
   • Longjie Zhang

   • Content type: Original Paper
   • Published: 25 May 2021

   • Article: 40

   

6. A game-theoretic approach to dynamic boundary problems for level-set curvature flow equations and applications

   Authors

   • Nao Hamamuki
   • Qing Liu

   • Content type: Original Paper
   • Open Access
   • Published: 24 March 2021

   • Article: 30

   

7. On the existence of positive solutions to a certain class of semilinear elliptic equations

   Authors

   • Norihisa Ikoma

   • Content type: Original Paper
   • Published: 18 March 2021

   • Article: 28

8. Phase transitions arising in stochastic ergodic control associated with viscous Hamilton–Jacobi equations with bounded inward drift

   Authors

   • Naoyuki Ichihara

   • Content type: Original Paper
   • Published: 26 January 2021

   • Article: 15

9. Precise blowup rate near the boundary of boundary blowup solutions to k-Hessian equation

   Authors

   • Kazuhiro Takimoto

   • Content type: Original Paper
   • Published: 21 January 2021

   • Article: 12

10. Stochastic optimal transport revisited

    Authors

    • Toshio Mikami

    • Content type: Original Paper
    • Published: 13 January 2021

    • Article: 5

11. Stationary mean-field games with logistic effects

    Authors

    • Diogo Aguiar Gomes
    • Ricardo de Lima Ribeiro

    • Content type: Original Paper
    • Published: 12 January 2021

    • Article: 3

12. Viscosity solutions for the crystalline mean curvature flow with a nonuniform driving force term

    Authors

    • Yoshikazu Giga
    • Norbert Požár

    • Content type: Original Paper
    • Open Access
    • Published: 15 October 2020

    • Article: 39

    

13. All the generalized characteristics for the solution to a Hamilton–Jacobi equation with the initial data of the Takagi function

    Authors

    • Yasuhiro Fujita
    • Nao Hamamuki
    • Norikazu Yamaguchi

    • Content type: Original Paper
    • Published: 15 October 2020

    • Article: 38

    

14. Remarks on optimal rates of convergence in periodic homogenization of linear elliptic equations in non-divergence form

    Authors

    • Xiaoqin Guo
    • Hung V. Tran
    • Yifeng Yu

    • Content type: Original Paper
    • Published: 02 July 2020

    • Article: 15

15. ABP maximum principles for fully nonlinear integro-differential equations with unbounded inhomogeneous terms

    Authors

    • Shuhei Kitano

    • Content type: Original Paper
    • Published: 02 July 2020

    • Article: 16