Title

Strong Bounded Solutions For Nonlinear Parabolic Systems

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

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.

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