Non-coercive linear elliptic problems

Jérôme Droniou

doi:10.1023/A:1015709329011

Non-coercive linear elliptic problems

Jérôme Droniou

Research output: Contribution to journal › Article › Research › peer-review

55 Citations (Scopus)

Abstract

We study here some linear elliptic partial differential equations (with Dirichlet, Fourier of mixed boundary conditions), to which convection terms (first order perturbations) are added that entail the loss of the classical coercivity property. We prove the existence, uniqueness and regularity results for the solutions to these problems.

Original language	English
Pages (from-to)	181-203
Number of pages	23
Journal	Potential Analysis
Volume	17
Issue number	2
DOIs	https://doi.org/10.1023/A:1015709329011
Publication status	Published - 1 Dec 2002
Externally published	Yes

Keywords

Coercivity
Convection terms
Duality solution
Linear elliptic PDEs

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KW - Convection terms

KW - Duality solution

KW - Linear elliptic PDEs

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Non-coercive linear elliptic problems

Abstract

Keywords

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