Regularizing effects for multidimensional scalar conservation laws

DOI10.1016/S0294-1449(00)00116-5zbMath0966.35074OpenAlexW1989462402MaRDI QIDQ1591442

Christophe Cheverry

Publication date: 7 August 2001

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2000__17_4_413_0

zbMATH Keywords

Radon transformscatteringentropy solutionskinetic formulationBV- and Sobolev estimates for some averaged quantitiesdecay estimates for spatially periodic solutionstwo-microlocal regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (6)

Smoothing effect in \(BV_{\Phi}\) for entropy solutions of scalar conservation laws ⋮ Hypoelliptic regularity in kinetic equations. ⋮ Optimal regularity for all time for entropy solutions of conservation laws in \(BV^s\) ⋮ Regularity in kinetic formulations via averaging lemmas ⋮ Nonexistence of the $BV$ Regularizing Effect for Scalar Conservation Laws in Several Space Dimensions for $C^2$ Fluxes ⋮ On the maximal smoothing effect for multidimensional scalar conservation laws

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