Electronic Journal Of Differential Equations
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.
Nonlinear parabolic systems, nonlinear boundary conditions, Carathéodory functions, quasimonotone properties, sub and supersolutions
Variational And Topological Methods: Theory, Applications, Numerical Simulations, And Open Problems
June 6-9, 2012
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Nsoki Mavinga and M. N. Nkashama.
"Strong Bounded Solutions For Nonlinear Parabolic Systems".
Electronic Journal Of Differential Equations.