Almost all points on the real axis can be original points of shock waves

DOI10.1007/s11425-010-4139-8zbMath1223.35231OpenAlexW1985725796MaRDI QIDQ547336

Bang-He Li

Publication date: 1 July 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4139-8

zbMATH Keywords

Oleĭnik's conjecture

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65)

Related Items (2)

The reason of Hopf's and Oleinik's proofs for countability of shocks being wrong ⋮ Excess action and broken characteristics for Hamilton-Jacobi equations

Cites Work

• On shock generation for Hamilton-Jacobi equations
• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• Regularity results for solutions of a class of Hamilton-Jacobi equations
• A regularity theorem for conservation laws
• Hyperbolic systems of conservation laws II
• On the piecewise smoothness of entropy solutions to scalar conservation laws
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