SBV regularity for Burgers-Poisson equation

2020/12/15 by Gilmore, Steven, Nguyen, Khai T.
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2012.08350

Abstract

The SBV regularity of weak entropy solutions to the Burgers-Poisson equation is considered. We show that the derivative of a solution consists of only the absolutely continuous part and the jump part.

Related

• On the regularity of weak solutions to Burgers equation with finite\n entropy production
• Absolute continuity of the solution to the stochastic Burgers equation
• Higher regularity for entropy solutions of conservation laws with geometrically constrained discontinuous flux
• On the Convergence of the Convectively Filtered Burgers Equation to the Entropy Solution of the Inviscid Burgers Equation
• Generalized solutions of the stochastic Burgers equation