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
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Nsoki Mavinga and M. N. Nkashama.
(2014).
"Strong Bounded Solutions For Nonlinear Parabolic Systems".
Electronic Journal Of Differential Equations.
197-221.
https://works.swarthmore.edu/fac-math-stat/179
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.