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

David John Needham; John Christopher Meyer

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arXiv · 2411.07437

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

David John Needham·John Christopher Meyer

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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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David John Needham, John Christopher Meyer. 2024-11-11. A note on time-asymptotic bounds with a sharp algebraic rate and a transitional exponent for the sublinear Fujita problem. https://arxiv.org/abs/2411.07437

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