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

preprint2012arXivOpen access

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

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