JournalsjstVol. 12, No. 2pp. 535–571

Carleman estimate for complex second order elliptic operators with discontinuous Lipschitz coefficients

  • Elisa Francini

    Università degli Studi di Firenze, Italy

  • Sergio Vessella

    Università degli Studi di Firenze, Italy

  • Jenn-Nan Wang

    National Taiwan University, Taipei, Taiwan
Carleman estimate for complex second order elliptic operators with discontinuous Lipschitz coefficients cover
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Abstract

In this paper, we derive a local Carleman estimate for the complex second order elliptic operator with Lipschitz coefficients having jump discontinuities. Combing the result by M. Bellassoued and J. Le Rousseau (2018) and the arguments by M. Di Cristo, E. Francini, C.-L. Lin, S. Vessella, and J.-N. Wang (2017), we present an elementary method to derive the Carleman estimate under the optimal regularity assumption on the coefficients.

Cite this article

Elisa Francini, Sergio Vessella, Jenn-Nan Wang, Carleman estimate for complex second order elliptic operators with discontinuous Lipschitz coefficients. J. Spectr. Theory 12 (2022), no. 2, pp. 535–571

DOI 10.4171/JST/410