On the time continuity of entropy solutions

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

No reviews yet.

No comments yet.