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arXiv · 1205.4523

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

Aníbal Rodríguez-Bernal·Alejandro Vidal-López
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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.

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Aníbal Rodríguez-Bernal, Alejandro Vidal-López. 2012-05-21. Nonlinear balance and asymptotic behavior of supercritical reaction-diffusion equations with nonlinear boundary conditions. https://arxiv.org/abs/1205.4523

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