A note on the existence of global solutions for reaction-diffusion equations with almost-monotonic nonlinearities | Zendy

Anı́bal Rodriguez-Bernal | Zendy; Alejandro Vidal–López | Zendy

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A note on the existence of global solutions for reaction-diffusion equations with almost-monotonic nonlinearities

Author(s) -

Anı́bal Rodriguez-Bernal,

Alejandro Vidal–López

Publication year - 2013

Publication title -

communications on pure andamp applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.077

H-Index - 42

eISSN - 1553-5258

pISSN - 1534-0392

DOI - 10.3934/cpaa.2014.13.635

Subject(s) - monotonic function , uniqueness , reaction–diffusion system , omega , mathematics , nonlinear system , diffusion , mathematical analysis , mathematical physics , physics , thermodynamics , quantum mechanics

We show existence and uniqueness of global solutions for reaction-diffusion equations with almost-monotonic nonlinear terms in L-q(Omega) for each 1 <= q <= infinity. In particular, we do not assume restriction on the growth of the nonlinearites required by the standar local existence theory

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