Non-local Hamilton-Jacobi equations arising in dislocation dynamics

DOI10.4171/ZAA/1411zbMath1207.35097OpenAlexW2036641120MaRDI QIDQ987774

Yutaka Matsumura, Hitoshi Ishii

Publication date: 16 August 2010

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_abstract.php?issn=0232-2064&vol=29&iss=3&rank=4

zbMATH Keywords

comparison theoremsubsolutions and supsolutions

Mathematics Subject Classification ID

Initial value problems for nonlinear first-order PDEs (35F25) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21) Integro-partial differential equations (35R09)

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Cites Work

• Small-time solvability of a non-local Hamilton-Jacobi equation describing dislocation dynamics
• Equqtions D'Hamilton-Jacobi Du Premier Ordre Avec Termes Intégro-Différentiels
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
• Equqtions D'Hamilton-Jacobi Du Premier Ordre Avec Termes Intégro-Différentiels