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Non-coercive Linear Elliptic Problems

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Abstract

We study here some linear elliptic partial differential equations (with Dirichlet, Fourier or 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.

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Authors and Affiliations

  1. Université de Provence, CMI, Technopôle de Château Gombert, 39 rue F. Joliot Curie, 13453, Marseille Cedex 13, France

    Jérôme Droniou

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  1. Jérôme Droniou
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Droniou, J. Non-coercive Linear Elliptic Problems. Potential Analysis 17, 181–203 (2002). https://doi.org/10.1023/A:1015709329011

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  • DOI: https://doi.org/10.1023/A:1015709329011

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