This book collects some basic results on the null controllability for degenerate and singular parabolic problems. It aims to provide postgraduate students and senior researchers with a useful text, where they can find the desired statements and the related bibliography. For these reasons, the authors will not give all the detailed proofs of the given theorems, but just some of them, in order to show the underlying strategy in this area.

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Autorentext
Genni Fragnelli is Associate Professor in Mathematical Analysis at Bari University since 2017. She received the Master Degree from Lecce University in 1999 and her PhD in Mathematics from Tübingen University in 2002. She had research grants in Roma TorVergata and Siena and she was Assistant Professor since 2010 in Bari. Her research interests mainly focus on control of PDE's and semigroup theory. She has given about 60 seminars in Italy and abroad. She has authored more than 60 research papers. Dimitri Mugnai is Full Professor in Mathematical Analysis at the Tuscia University, Viterbo. He received the Master Degree from Florence University and his PhD in Mathematics from Pisa University in 2001. From 2002 to 2017 he was Assistant Professor and Associate Professor at Perugia University. His research interests include PDE's and non local operators with applications. He has given about 70 seminars in Italy and abroad. He has authored more than 70 research papers.

Inhalt

1. Mathematical tools and preliminary results.- 2. The non singular case: = 0.- 3. A singular nondegenerate parabolic equation.- 4. The case of an interior degenerate/singular parabolic equation.- 5. The case of an interior degenerate/singular parabolic equation.