A note on the convergence to initial data of heat and Poisson equations-Reference-Cited by-同舟云学术

A note on the convergence to initial data of heat and Poisson equations

Published:2012-08-24 Issue:4 Volume:141 Page:1323-1333
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Hartzstein Silvia,Torrea José,Viviani Beatriz

Abstract

We characterize the weighted Lebesgue spaces, L p ( R n , v ( x ) d x ) , L^p(\mathbb {R}^n,v(x)dx), for which the solutions of the Heat and Poisson problems have limits a.e. when the time t t tends to zero.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2013-141-04/S0002-9939-2012-11441-8/S0002-9939-2012-11441-8.pdf

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