Heat equation as a Friedrichs system

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:404

Article

Antonic, Nenad¹  Burazin, Kresimir²  Vrdoljak, Marko¹ 

[1] Univ Zagreb, Dept Math, Zagreb 41000, Croatia

[2] Univ Osijek, Dept Math, Osijek, Croatia

关键词: Symmetric positive system;    Initial boundary value problem;    Second-order parabolic equation;   

DOI  :  10.1016/j.jmaa.2013.03.023

来源: Elsevier

【 摘 要 】

Inspired by recent advances in the theory of (Friedrichs) symmetric positive systems, we apply newly developed results to the heat equation, by showing how the intrinsic theory of Em, Guermond and Caplain (2007) can be used in order to get a well-posedness result for the Dirichlet initial-boundary value problem. We also demonstrate the application of the two-field theory with partial coercivity of Em and Guermond (2008), originally developed for elliptic problems, and also discuss different possibilities for the construction of the appropriate boundary operator. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free