The Divergence Theorem for Divergence Measure Vectorfields on Sets with Fractal Boundaries
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Publication:4905428
DOI10.1177/1081286507081960zbMath1257.74014OpenAlexW2131133706MaRDI QIDQ4905428
Publication date: 18 February 2013
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1177/1081286507081960
Related Items (15)
On BV functions and essentially bounded divergence-measure fields in metric spaces ⋮ Remarks on the theory of the divergence-measure fields ⋮ 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 Gauss-Green theorem for bounded vectorfields with divergence measure on sets of finite perimeter ⋮ Eigenvalue problems in 𝐿^{∞}: optimality conditions, duality, and relations with optimal transport ⋮ Extensions and traces of BV functions in rough domains and generalized Cheeger sets ⋮ Velocities, stresses and vector bundle valued chains ⋮ Traces and extensions of bounded divergence-measure fields on rough open sets ⋮ A version of Stokes's theorem using test curves ⋮ The Dirichlet Problem for Stochastic Degenerate Parabolic-Hyperbolic Equations ⋮ A boundary value problem for a class of anisotropic stochastic degenerate parabolic-hyperbolic equations ⋮ An existence theorem for inextensible nets with slack ⋮ Cauchy fluxes and Gauss-Green formulas for divergence-measure fields over general open sets ⋮ The Gauss-Green theorem in stratified groups
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