A mixed semilinear parabolic problem from combustion theory
Claudia Lederman, Juan Luis Vazquez, Noemí Wolanski · DOAJ (DOAJ: Directory of Open Access Journals) · 2001
We prove existence, uniqueness, and regularity of the solution to a mixed initial boundary-value problem. The equation is semilinear uniformly parabolic with principal part in divergence form, in a non-cylindrical space-time domain. Here we extend our results in cite{LVWmix} to a more general domain. As in cite{LVWmix}, we assume only mild regularity on the coefficients, on the non-cylindrical part of the lateral boundary (where the Dirichlet data are given), and on the Dirichlet data.