Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations
Author:   Genni Fragnelli ,  Dimitri Mugnai
Publisher:   American Mathematical Society
ISBN:  

9781470419547


Pages:   83
Publication Date:   30 June 2016
Format:   Paperback
Availability:   Temporarily unavailable   Availability explained
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Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations


Overview

The authors consider a parabolic problem with degeneracy in the interior of the spatial domain, and they focus on observability results through Carleman estimates for the associated adjoint problem. The novelties of the present paper are two. First, the coefficient of the leading operator only belongs to a Sobolev space. Second, the degeneracy point is allowed to lie even in the interior of the control region, so that no previous result can be adapted to this situation; however, different cases can be handled, and new controllability results are established as a consequence.

Full Product Details

Author:   Genni Fragnelli ,  Dimitri Mugnai
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Weight:   0.152kg
ISBN:  

9781470419547


ISBN 10:   1470419548
Pages:   83
Publication Date:   30 June 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable   Availability explained
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.

Table of Contents

Chapter 1. Introduction Chapter 2. Mathematical tools and preliminary results Chapter 3. Carleman estimate for non degenerate parabolic problems with non smooth coefficient Chapter 4. Carleman estimate for degenerate non smooth parabolic problems Chapter 5. Observability inequalities and application to null controllability Chapter 6. Linear and Semilinear Extensions Chapter 7. Final Comments Appendix A. Rigorous derivation of Lemma 3.5

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Author Information

Genni Fragnelli, University Bari Aldo Moro, Italy. Dimitri Mugnai, University of Perugia, Italy.

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Latest Reading Guide

NOV RG 20252

 

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