Strong Traces for Solutions to Scalar Conservation Laws with General Flux |
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| Authors: | Young-Sam Kwon Alexis Vasseur |
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| Affiliation: | (1) Department of Mathematics, The University of Texas at Austin, Austin, Texas 78712, USA;(2) Department of Mathematics, The University of Texas at Austin, Austin, Texas 78712, USA |
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| Abstract: | In this paper we consider bounded weak solutions u of scalar conservation laws, not necessarily of class BV, defined in a subset  . We define a strong notion of trace at the boundary of  reached by L 1 convergence for a large class of functionals of u, G(u). The functionals G depend on the flux function of the conservation law and on the boundary of  . The result holds for a general flux function and a general subset. |
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