INVESTIGADORES
LEDERMAN Claudia Beatriz
artículos
Título:
A mixed semilinear parabolic problem from combustion theory
Autor/es:
LEDERMAN, CLAUDIA; VÁZQUEZ, JUAN LUIS; WOLANSKI, NOEMÍ
Revista:
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
Editorial:
Southwest Texas State University
Referencias:
Lugar: San Marcos; Año: 2001 vol. Conf p. 203 - 214
ISSN:
1072-6691
Resumen:
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.
This problem is of interest in combustion theory, where
the non-cylindrical part of the lateral boundary may be considered
as an approximation of a flame front.
In particular, the results in this paper are used in \cite{LVWdf} to
prove the uniqueness of a ``limit'' solution to the combustion problem
in a two-phase situation.
