SBV regularity for Burgers-Poisson equation

DOI10.1016/j.jmaa.2021.125095zbMath1460.35228arXiv2012.08350OpenAlexW3129621311MaRDI QIDQ2661258

Steven Gilmore, Khai T. Nguyen

Publication date: 3 April 2021

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

Full work available at URL: https://arxiv.org/abs/2012.08350

zbMATH Keywords

entropy weak solutionBurgers-Poisson equationspecial functions of bounded regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Hyperbolic conservation laws (35L65) Weak solutions to PDEs (35D30) Initial value problems for nonlinear first-order PDEs (35F25)

Cites Work

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• SBV regularity for genuinely nonlinear, strictly hyperbolic systems of conservation laws in one space dimension
• On the Burgers-Poisson equation
• Wave Breaking in a Class of Nonlocal Dispersive Wave Equations
• SBV REGULARITY OF ENTROPY SOLUTIONS FOR A CLASS OF GENUINELY NONLINEAR SCALAR BALANCE LAWS WITH NON-CONVEX FLUX FUNCTION
• A NOTE ON ADMISSIBLE SOLUTIONS OF 1D SCALAR CONSERVATION LAWS AND 2D HAMILTON–JACOBI EQUATIONS
• Burgers--Poisson: A Nonlinear Dispersive Model Equation
• Regularity estimates for scalar conservation laws in one space dimension
• Differential equations with discontinuous right-hand side

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