Decay at infinity for parabolic equations

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We consider solutions to linear parabolic equations with initial data decaying at spatial infinity. For a class of advection-diffusion equations with a spatially dependent velocity field, we study the behavior of solutions as time tends to infinity. We characterize velocity fields, so that positive solutions decay or lift-off at spatial infinity as time tends to infinity. This addresses the question of stability of the zero solution for decaying perturbations.
7 pages

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Analysis of PDEs, 35B40

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http://salesiana.dossiersoluciones.com/handle/123456789/76304

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509212
 http://arxiv.org/abs/math/0509212

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arXiv