On transparent boundary conditions for the high--order heat equation

2013/02/06 by Durvudkhan Suragan, Suragan, Durvudkhan, Niyaz Tokmagambetov +1
Mathematics · #35K35 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35K35

paper · pdf · doi:10.48550/arxiv.1302.1401

9 pages

arxiv created 2013/02/06 · arxiv updated 2013/02/07

Abstract

In this paper we develop an artificial initial boundary value problem for the high-order heat equation in a bounded domain Ω. It is found an unique classical solution of this problem in an explicit form and shown that the solution of the artificial initial boundary value problem is equal to the solution of the infinite problem (Cauchy problem) in Ω.

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