On the time continuity of entropy solutions

Details On the time continuity of entropy solutions On the time continuity of entropy solutions

2008-12-27

arxiv.org/abs/0812.4765v2

Mathematics

Analysis of PDEs

Scientific paper

We show that any entropy solution $u$ of a convection diffusion equation
$\partial_t u + \div F(u)-\Delta\phi(u) =b$ in $\OT$ belongs to
$C([0,T),L^1_{Loc}(\o\O))$. The proof does not use the uniqueness of the
solution.

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