Existence and uniqueness results to a system of Hamilton-Jacobi equations with application to dislocation dynamics

DOI10.1007/s44007-024-00128-8zbMath1548.35112MaRDI QIDQ6611802

Ahmad El Hajj, Maryam al Zohbi

Publication date: 27 September 2024

Published in: La Matematica (Search for Journal in Brave)

zbMATH Keywords

uniquenessviscosity solutioncomparison principleHamilton-Jacobi equationsdislocations dynamicsnonlinear eikonal equations

Mathematics Subject Classification ID

Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21) Comparison principles in context of PDEs (35B51) Initial value problems for systems of nonlinear first-order PDEs (35F55)

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