Carleman estimate for second order elliptic equations with Lipschitz leading coefficients and jumps at an interface

M. Di Cristo, E. Francini, C. L. Lin, S. Vessella, J. N. Wang

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

In this paper we prove a local Carleman estimate for second order elliptic equations with a general anisotropic Lipschitz coefficients having a jump at an interface. The argument we use is of microlocal nature. Yet, not relying on pseudodifferential calculus, our approach allows one to achieve almost optimal assumptions on the regularity of the coefficients and, consequently, of the interface.

Original languageEnglish
Pages (from-to)163-206
Number of pages44
JournalJournal des Mathematiques Pures et Appliquees
Volume108
Issue number2
DOIs
Publication statusPublished - 2017 Aug

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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