A note on time-asymptotic bounds with a sharp algebraic rate and a transitional exponent for the sublinear Fujita problem (2411.07437v1)

Published 11 Nov 2024 in math.AP

Abstract: This note establishes sharp time-asymptotic algebraic rate bounds for the classical evolution problem of Fujita, but with sublinear rather than superlinear exponent. A transitional stability exponent is identified, which has a simple reciprocity relation with the classical Fujita critical blow-up exponent.

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