Volume 20, Issue 3
Space-time Estimate to Heat Equation

Yidong Wang & Lingyu Jiang

J. Part. Diff. Eq., 20 (2007), pp. 247-251.

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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 ‹ ∞.

  • AMS Subject Headings

35, 42.

Published online: 2007-08