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Resolvent estimates for wave operators in Lipschitz domains

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Abstract

In this paper we study the resolvent of wave operators on open and bounded Lipschitz domains of \({\mathbb {R}}^N\) with Dirichlet or Neumann boundary conditions. We give results on existence and estimates of the resolvent for the real and complex cases.

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Acknowledgements

We would like to thank the referee for his (her) valuable comments which enabled us to improve substantially the paper.

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Authors and Affiliations

  1. UR Analysis and Control of PDEs, UR 13E64, Department of Mathematics, Faculty of Sciences of Monastir, University of Monastir, 5019, Monastir, Tunisia

    Kaïs Ammari

  2. Laboratoire de Mathématiques et de leurs applications, UMR CNRS 5142 Bâtiment IPRA, Université de Pau et des Pays de l’Adour, Avenue de l’Université, BP 1155, 64013, Pau Cedex, France

    Chérif Amrouche

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  1. Kaïs Ammari
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  2. Chérif Amrouche
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Correspondence to Chérif Amrouche.

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Communicated by J. M. Ball.

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Ammari, K., Amrouche, C. Resolvent estimates for wave operators in Lipschitz domains. Calc. Var. 60, 175 (2021). https://doi.org/10.1007/s00526-021-02047-w

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  • DOI: https://doi.org/10.1007/s00526-021-02047-w

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