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

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

Degenerate parabolic operators have received increasing attention in recent years because they are associated with both important theoretical analysis, such as

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