ABSTRACT This paper deals with the blow-up phenomenon for a nonlocal reaction diffusion equation with time-dependent coefficient in a bounded star-shaped domain under Robin boundary condition. Using the auxiliary function… Click to show full abstract
ABSTRACT This paper deals with the blow-up phenomenon for a nonlocal reaction diffusion equation with time-dependent coefficient in a bounded star-shaped domain under Robin boundary condition. Using the auxiliary function method and differential inequality technique, lower bounds for the blow-up time can be obtained if the blow-up occurs in finite time. Some examples are presented to illustrate applications of our results.
               
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