On the Dirichlet problem for first order quasilinear equations on a manifold

DOI10.1090/S0002-9947-2010-05016-0zbMath1217.58017MaRDI QIDQ3003606

Evgeny Yu. Panov

Publication date: 27 May 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

entropy solutionquasilinear equationPDEs on manifolds

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Boundary value problems on manifolds (58J32) Hyperbolic equations on manifolds (58J45)

Related Items (10)

Anisotropic vanishing diffusion method applied to genuinely nonlinear forward-backward ultra-parabolic equations ⋮ Strong Traces for Conservation Laws with General Nonautonomous Flux ⋮ Well-posedness theory for stochastically forced conservation laws on Riemannian manifolds ⋮ Transport-collapse scheme for heterogeneous scalar conservation laws ⋮ Uniqueness of a generalized entropy solution to the Cauchy problem for a quasilinear conservation law with convex flux ⋮ A geometric approach to error estimates for conservation laws posed on a spacetime ⋮ Well-posedness theory for degenerate parabolic equations on Riemannian manifolds ⋮ Renormalized entropy solutions to the Cauchy problem for first order quasilinear conservation laws in the class of periodic functions ⋮ On existence and uniqueness of entropy solutions of weakly coupled hyperbolic systems on evolving surfaces ⋮ ON THE DIRICHLET-NEUMANN BOUNDARY PROBLEM FOR SCALAR CONSERVATION LAWS

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