Viscosity solutions of fully nonlinear second order parabolic equations with \(L^1\) dependence in time and Neumann boundary conditions. Existence and applications to the level-set approach

DOI10.3934/dcds.2008.21.1047zbMath1165.35401OpenAlexW2327510871MaRDI QIDQ939275

Mariane Bourgoing

Publication date: 22 August 2008

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2008.21.1047

zbMATH Keywords

existencenonlinear Neumann boundary conditionsNeumann boundary conditionsviscosity solutionslevel-set approach\(L^1\) dependence in timefront propagations problemsfully nonlinear second-order parabolic equations

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

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