Divergence-Measure Fields on Domains with Lipschitz Boundary

DOI10.1007/978-3-642-39007-4_10zbMath1280.28013OpenAlexW26875432MaRDI QIDQ2864992

Hermano Frid

Publication date: 27 November 2013

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-39007-4_10

zbMATH Keywords

product ruleGauss-Green theoremdivergence-measure fieldsnormal traces

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Hyperbolic conservation laws (35L65) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Related Items (9)

On BV functions and essentially bounded divergence-measure fields in metric spaces ⋮ Strong Traces for Conservation Laws with General Nonautonomous Flux ⋮ On locally essentially bounded divergence measure fields and sets of locally finite perimeter ⋮ A boundary value problem for a class of anisotropic degenerate parabolic-hyperbolic equations ⋮ The Dirichlet Problem for Stochastic Degenerate Parabolic-Hyperbolic Equations ⋮ A boundary value problem for a class of anisotropic stochastic degenerate parabolic-hyperbolic equations ⋮ Cauchy fluxes and Gauss-Green formulas for divergence-measure fields over general open sets ⋮ The Gauss-Green theorem in stratified groups ⋮ The strong trace property and the Neumann problem for stochastic conservation laws

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