A Representation Formula for Viscosity Solutions of Nonlocal Hamilton–Jacobi Equations and Applications-Reference-Cited by-同舟云学术

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A Representation Formula for Viscosity Solutions of Nonlocal Hamilton–Jacobi Equations and Applications

Published:2024-09-03 Issue:5 Volume:56 Page:5807-5839
ISSN:0036-1410
Container-title:SIAM Journal on Mathematical Analysis
language:en
Short-container-title:SIAM J. Math. Anal.

Author:

Kagaya Takashi¹,Liu Qing²,Mitake Hiroyoshi³

Affiliation:

1. Graduate School of Engineering, Muroran Institute of Technology, 27-1 Mizumoto-cho, Muroran, Hokkaido, 050-8585, Japan.

2. Geometric Partial Differential Equations Unit, Okinawa Institute of Science and Technology Graduate University, 1919-1, Tancha, Onna-son, Kunigami-gun, Okinawa, 904-0495, Japan.

3. Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo, 153-8914, Japan.

Funder

Japan Society for the Promotion of Science

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Reference32 articles.

1. Existence and uniqueness for dislocation dynamics with nonnegative velocity

2. Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations

3. Nonlocal First-Order Hamilton–Jacobi Equations Modelling Dislocations Dynamics

4. Short time uniqueness results for solutions of nonlocal and non-monotone geometric equations

5. Front Propagation and Phase Field Theory

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