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arXiv · 1212.2826

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

Aníbal Rodríguez-Bernal·Alejandro Vidal-López
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Abstract

We show that reaction-diffusion equations with almost-monotonic nonlinear terms are well-posed in $L^q(Ω)$ for each $1\leq q < \infty$ and the solutions are globally defined.

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Aníbal Rodríguez-Bernal, Alejandro Vidal-López. 2012-12-12. A note on the existence of global solutions for reaction-diffusion equations with almost-monotonic nonlinearities. https://arxiv.org/abs/1212.2826

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