The authors consider a parabolic problem with degeneracy in the interior of the spatial domain, and they focus on observability results through Carleman estimat

This book collects some basic results on the null controllability for degenerate and singular parabolic problems. It aims to provide postgraduate students and s

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This book provides a brief, self-contained introduction to Carleman estimates for three typical second order partial differential equations, namely elliptic, pa

The authors establish square function estimates for integral operators on uniformly rectifiable sets by proving a local theorem and applying it to show that suc