Nonlinear balance and asymptotic behavior of supercritical reaction-diffusion equations with nonlinear boundary conditions

Autor: Rodríguez-Bernal, Aníbal, Vidal-López, Alejandro
Rok vydání: 2012
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv