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arXiv · 2004.13638

A minimization procedure to the existence of segregated solutions to parabolic reaction-diffusion systems

Alessandro Audrito·Enrico Serra·Paolo Tilli
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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.

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Alessandro Audrito, Enrico Serra, Paolo Tilli. 2020-04-28. A minimization procedure to the existence of segregated solutions to parabolic reaction-diffusion systems. https://arxiv.org/abs/2004.13638

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