Wellposedness of variable-coefficient conservative fractional elliptic differential equations
type: Item
instance of: scholarly article
zbMATH Open document ID: 1277.65059
DOI: 10.1137/120892295
author: Hong Wang
author: Danping Yang
published in: SIAM Journal on Numerical Analysis
publication date: 2013-07-18T00:00:00Z
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 34B05
zbMATH DE Number: 6189182
zbMATH Keywords: Petrov-Galerkin method
zbMATH Keywords: variable-coefficient conservative fractional elliptic differential equation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1137/120892295
OpenAlex ID: W2140057174
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title: Wellposedness of variable-coefficient conservative fractional elliptic differential equations
review text: This paper deals with the Dirichlet boundary value problem of a one-sided variable-coefficient conservative fractional elliptic differential equation in one space dimension. The authors recall the existing results for the Galerkin weak formulation with a constant diffusivity coefficient which were proved by \textit{V. J. Ervin} and \textit{J. P. Roop} [Numer. Methods Partial Differ. Equations 22, No. 3, 558--576 (2006; Zbl 1095.65118)] and present a counterexample to show that the bilinear form of the weak formulation is indefinite. Also, a Petrov-Galerkin weak formulation for the variable-coefficient conservative fractional elliptic differential equation is derived.
reviewed by: Pavol Chocholatý
description: scientific article; zbMATH DE number 6189182