Publication: A note on the existence of global solutions for reaction-diffusion equations with almost-monotonic nonlinearities
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Publication Date
2014-03
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American Institute of Mathematical Sciences
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Abstract
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.