Space-time Estimate to Heat Equation

Space-time Estimate to Heat Equation

Year:    2007

Journal of Partial Differential Equations, Vol. 20 (2007), Iss. 3 : pp. 247–251

Abstract

In this article, we prove the Strichartz type estimate for the solutions of linear heat equation with initial data in Hardy space H¹(R^d). As an application, we obtain the full space-time estimate to the solutions of heat equation with initial data in L^p(R^d) for 1 ‹ p ‹ ∞.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2007-JPDE-5305

Journal of Partial Differential Equations, Vol. 20 (2007), Iss. 3 : pp. 247–251

Published online:    2007-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    5

Keywords:    Strichartz estimate