Traces for Functions of Bounded Variation on Manifolds with Applications to Conservation Laws on Manifolds with Boundary

DOI10.1137/140961766zbMath1332.35219arXiv1403.5192OpenAlexW2119079721MaRDI QIDQ3195482

Lena Maria Strehlau, Thomas Müller, Dietmar B. Kröner

Publication date: 19 October 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.5192

zbMATH Keywords

Riemannian manifoldstrace theorem

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50) Boundary value problems on manifolds (58J32) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Functions of bounded variation, generalizations (26A45) Hyperbolic equations on manifolds (58J45) PDEs on manifolds (35R01)

Related Items (5)

Well-posedness theory for stochastically forced conservation laws on Riemannian manifolds ⋮ Asymptotic Structure of Cosmological Burgers Flows in One and Two Space Dimensions: A Numerical Study ⋮ Well-posedness theory for degenerate parabolic equations on Riemannian manifolds ⋮ Convergence of the finite volume method on a Schwarzschild background ⋮ Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary

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