Document Type

Paper

Publication Date

2014

Published In

Electronic Journal Of Differential Equations

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.

Keywords

Nonlinear parabolic systems, nonlinear boundary conditions, Carathéodory functions, quasimonotone properties, sub and supersolutions

Conference

Variational And Topological Methods: Theory, Applications, Numerical Simulations, And Open Problems

Conference Dates

June 6-9, 2012

Conference Location

Flagstaff, AZ

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

Comments

This work is freely available under a Creative Commons License. This paper was presented at the 2012 conference Variational and Topological Methods: Theory, Applications, Numerical Simulations, and Open Problems.

Included in

Mathematics Commons

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