The space BV is not enough for hyperbolic conservation laws

DOI10.1016/0022-247X(83)90170-1zbMath0476.35056OpenAlexW2064074404MaRDI QIDQ1160363

Kuo-Shung Cheng

Publication date: 1983

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(83)90170-1

zbMATH Keywords

BV space

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Functions of bounded variation, generalizations (26A45)

Related Items (8)

Smoothing effect in \(BV_{\Phi}\) for entropy solutions of scalar conservation laws ⋮ Fractional regularity for conservation laws with discontinuous flux ⋮ Optimal regularity for all time for entropy solutions of conservation laws in \(BV^s\) ⋮ Dynamics in the fundamental solution of a non-convex conservation law ⋮ On Kolmogorov Entropy Compactness Estimates for Scalar Conservation Laws Without Uniform Convexity ⋮ Nonexistence of the $BV$ Regularizing Effect for Scalar Conservation Laws in Several Space Dimensions for $C^2$ Fluxes ⋮ A regularity theorem for a non-convex scalar conservation law ⋮ On the maximal smoothing effect for multidimensional scalar conservation laws

Cites Work

• Global solutions of the cauchy problem for quasi‐linear first‐order equations in several space variables
• The Formation and Decay of Shock Waves

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