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SBV regularity for Burgers-Poisson equation

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arxiv 2012.08350 v1 pith:WFAIRNDY submitted 2020-12-15 math.AP

SBV regularity for Burgers-Poisson equation

classification math.AP
keywords burgers-poissonequationpartregularityabsolutelyconsideredconsistscontinuous
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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.

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