Department of Mathematics and Statistics
Swarthmore College
Swarthmore, PA 19081, USA
email: mavinga@swarthmore.edu
Department of Mathematics
University of Alabama at Birmingham
Birmingham, AL 35294-1170, USA
email: nkashama@math.uab.edu
Nsoki Mavinga, Mubenga N. Nkashama
Abstract:
In this article we study the existence of strong bounded solutions for
nonlinear parabolic systems on a domain which is bounded in space
and unbounded in time (namely the entire real line). We use nonlinear
iteration arguments combined with some a priori estimates to derive
the existence results. We also provide conditions under which we have
a positive solution. Some examples are given to illustrate the results.
Published February 10, 2014.
Math Subject Classifications: 35K55, 35K60.
Key Words: Nonlinear parabolic systems; nonlinear boundary conditions;
Caratheodory functions; quasimonotone properties;
sub and supersolutions.
Show me the PDF(332 K), TEX and other files for this article.
|
Nsoki Mavinga Department of Mathematics and Statistics Swarthmore College Swarthmore, PA 19081, USA email: mavinga@swarthmore.edu |
|---|---|
| Mubenga N. Nkashama Department of Mathematics University of Alabama at Birmingham Birmingham, AL 35294-1170, USA email: nkashama@math.uab.edu |
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