Nonexistence of the $BV$ Regularizing Effect for Scalar Conservation Laws in Several Space Dimensions for $C^2$ Fluxes
DOI10.1137/20M1371531zbMath1468.35028arXiv1808.00289OpenAlexW3146807964WikidataQ114847125 ScholiaQ114847125MaRDI QIDQ4985451
Animesh Jana, Shyam Sundar Ghoshal
Publication date: 23 April 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.00289
entropy solutionscharacteristicsSobolev regularityscalar conservation lawsLax-Oleinik \(BV\) regularizing effectnon-degenerate flux
Smoothness and regularity of solutions to PDEs (35B65) Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Weak solutions to PDEs (35D30) First-order hyperbolic equations (35L02)
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Cites Work
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