Article Contents
Article Contents

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

• We show existence and uniqueness of global solutions for reaction-diffusion equations with almost-monotonic nonlinear terms in $L^q(\Omega)$ for each $1\leq q < \infty$. In particular, we do not assume restriction on the growth of the nonlinearites required by the standar local existence theory.
Mathematics Subject Classification: Primary: 35A01, 35B33, 35D35, 35K57, 35K20; Secondary: 35B40, 35B41.

 Citation:

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