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Control of Degenerate and Singular Parabolic Equations

Carleman Estimates and Observability

  • Book
  • © 2021

Overview

Authors:
  1. Genni Fragnelli

    1. Department of Mathematics, University of Bari Aldo Moro, Bari, Italy

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  2. Dimitri Mugnai

    1. Department of Biological and Ecological Sciences, Tuscia University, Viterbo, Italy

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  • This is the first book on this topic
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Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xix
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  2. Mathematical Tools and Preliminary Results

    • Genni Fragnelli, Dimitri Mugnai
    Pages 1-26

  3. The Non Singular Case: \(\lambda =0\)

    • Genni Fragnelli, Dimitri Mugnai
    Pages 27-54

  4. A Singular Nondegenerate Parabolic Equation

    • Genni Fragnelli, Dimitri Mugnai
    Pages 55-69

  5. The Case of a Boundary Degenerate/Singular Parabolic Equation

    • Genni Fragnelli, Dimitri Mugnai
    Pages 71-84

  6. The Case of an Interior Degenerate/Singular Parabolic Equation

    • Genni Fragnelli, Dimitri Mugnai
    Pages 85-97

  7. Back Matter

    Pages 99-105
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Keywords

About this book

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.

Authors and Affiliations

  • Department of Mathematics, University of Bari Aldo Moro, Bari, Italy

    Genni Fragnelli

  • Department of Biological and Ecological Sciences, Tuscia University, Viterbo, Italy

    Dimitri Mugnai

About the authors

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.

Bibliographic Information

  • Book Title: Control of Degenerate and Singular Parabolic Equations

  • Book Subtitle: Carleman Estimates and Observability

  • Authors: Genni Fragnelli, Dimitri Mugnai

  • Series Title: SpringerBriefs in Mathematics

  • DOI: https://doi.org/10.1007/978-3-030-69349-7

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Author(s), under exclusive license to Springer Nature Switzerland AG 2021

  • Softcover ISBN: 978-3-030-69348-0Published: 07 April 2021

  • eBook ISBN: 978-3-030-69349-7Published: 06 April 2021

  • Series ISSN: 2191-8198

  • Series E-ISSN: 2191-8201

  • Edition Number: 1

  • Number of Pages: XIX, 105

  • Number of Illustrations: 1 b/w illustrations, 1 illustrations in colour

  • Topics: Analysis, Optimization

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