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Abstract
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How to Cite this Article

Journal of Inequalities and Applications 
Volume 2 (1998), Issue 3, Pages 269-273
doi:10.1155/S1025583498000162

An inequality on solutions of heat equation

Du-Won Byun

Department of Mathematics, Inha University, 253 Yong Hyun-Dong, Nam-ku, In-chon 402-751, Korea

Received 28 April 1997; Revised 17 October 1997

Abstract

Let v(x,t) be the solution of the initial value problem for the n dimensional heat equation. Then, for any a and for any t0>0, an inequality about v(a,t) and v(x,t0) is obtained.