Space-time Estimate to Heat Equation

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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 ‹ ∞.

Keywords:

Strichartz estimate;heat equation;Hardy space
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Space-time Estimate to Heat Equation. (2007). Journal of Partial Differential Equations, 20(3), 247-251. https://global-sci.com/index.php/jpde/article/view/4102