A minimization procedure to the existence of segregated solutions to parabolic reaction-diffusion systems
Analysis of PDEs
2020-04-29 v1
Abstract
We study the existence of segregated solutions to a class of reaction-diffusion systems with strong interactions, arising in many physical applications. These special solutions are obtained as weak limits of minimizers of a family of perturbed functionals. We prove some a priori estimates through a minimization procedure which is nonstandard in the parabolic theory: our approach is purely variational and all the information is encoded in the family of functionals we consider.
Keywords
Cite
@article{arxiv.2004.13638,
title = {A minimization procedure to the existence of segregated solutions to parabolic reaction-diffusion systems},
author = {Alessandro Audrito and Enrico Serra and Paolo Tilli},
journal= {arXiv preprint arXiv:2004.13638},
year = {2020}
}
Comments
22 pages