On a convection-diffusion equation with partial diffusivity
نویسنده
چکیده
We consider the Cauchy problem for the nonlinear degenerate equation in R div(A∇u) + u(b · ∇u)− ∂tu = f(·, u), where A ≥ 0 is a constant symmetric matrix and ker(A) is generated by b. We prove the existence of a local viscosity solution u and we study the interior regularity of u in the framework of Hörmander type operators.
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تاریخ انتشار 2002