Elliptic and Parabolic Equations - Abstract
Alvarez-Caudevilla, Pablo
The dynamics of some classes of sublinear cooperative parabolic models are characterized. Different structural spatial heterogeneities assumptions for the nonlinearities in a bounded domain $Omega$ are analyzed, obtaining such characterization in terms of the different parameters involved in the system. Two situations are distinguished. The first one with the nonlinearities behaving in a similar way, for which the concept of Metasolution plays an important role and another one for which the nonlinearities have different structure in the domain $Omega$. For this second case a new spectral bound is introduced and some open problems will be shown and discussed.