The reason of Hopf's and Oleinik's proofs for countability of shocks being wrong

DOI10.1007/S11425-012-4372-4zbMath1239.35095OpenAlexW2269291666MaRDI QIDQ424313

Bang-He Li

Publication date: 31 May 2012

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

Full work available at URL: https://doi.org/10.1007/s11425-012-4372-4

zbMATH Keywords

conservation lawcountability of shocksuncountability of shocks

Mathematics Subject Classification ID

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

Cites Work

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• Almost all points on the real axis can be original points of shock waves
• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• Regularity results for solutions of a class of Hamilton-Jacobi equations
• The partial differential equation u_t + uu_x = μ_xx

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