Interior degenerate/singular parabolic equations in nondivergence form: well-posedness and Carleman estimates

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• 作者：Genni Fragnelli ^{genni.fragnelli@uniba.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：35K65 ; 93B05 ; 93B07
• 刊名：Journal of Differential Equations
• 出版年：2016
• 出版时间：15 January 2016
• 年：2016
• 卷：260
• 期：2
• 页码：1314-1371
• 全文大小：572 K

文摘

We consider non-smooth general degenerate/singular parabolic equations in non-divergence form with degeneracy and singularity occurring in the interior of the spatial domain, in presence of Dirichlet or Neumann boundary conditions. In particular, we consider well posedness of the problem and then we prove Carleman estimates for the associated adjoint problem.