Nonlinear balance and asymptotic behavior of supercritical reaction-diffusion equations with nonlinear boundary conditions
Analysis of PDEs
2012-05-22 v1
Abstract
We construct solutions of nonlinear reaction-diffusion equations with nonlinear boundary conditions in spaces where the problem is supercritical and show the nonlinear balance required between the nonlinear terms in order to obtain a dissipative system. Assuming this balance, the dynamics of the solutions is the same that take place in subcritical spaces.
Keywords
Cite
@article{arxiv.1205.4523,
title = {Nonlinear balance and asymptotic behavior of supercritical reaction-diffusion equations with nonlinear boundary conditions},
author = {Aníbal Rodríguez-Bernal and Alejandro Vidal-López},
journal= {arXiv preprint arXiv:1205.4523},
year = {2012}
}