2020
DOI: 10.1186/s13661-020-01363-y
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Global and blow-up solutions for a nonlinear reaction diffusion equation with Robin boundary conditions

Abstract: In the paper, we investigate global and blow-up solutions for a class of nonlinear reaction diffusion equations with Robin boundary conditions. By using auxiliary functions and a first-order differential inequality technique, we establish conditions on the data to prove the existence of global solution. Moreover, based on maximum principles, we obtain a criterion that guarantees the occurrence of the blow-up. When blow-up occurs, we discuss an upper bound and a lower bound on blow-up time. At last, we apply tw… Show more

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Cited by 4 publications
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References 26 publications
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