A Carleman estimate for the two dimensional heat equation with mixed boundary conditions

作者:Ziane Tarik Ali*; Ouzzane Hadjer; Zair Ouahiba
来源:Comptes Rendus Mathematique, 2013, 351(3-4): 97-100.
DOI:10.1016/j.crma.2013.02.006

摘要

It is well known that in a regular domain, the solutions of the Laplace equation with mixed boundary conditions can present a singular part. In this work, we prove a Carleman estimate for the two dimensional domain heat equation in presence of these singularities.

  • 出版日期2013-2