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Author: Genni Fragnelli
Publisher: Springer Nature
ISBN: 303069349X
Category : Mathematics
Languages : en
Pages : 105
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Book Description
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.
Author: Genni Fragnelli
Publisher: Springer Nature
ISBN: 303069349X
Category : Mathematics
Languages : en
Pages : 105
Get Book Here
Book Description
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.
Author:
Publisher:
ISBN: 9781461415855
Category :
Languages : en
Pages : 294
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Book Description
Author: Emmanuele DiBenedetto
Publisher: Springer Science & Business Media
ISBN: 1461208955
Category : Mathematics
Languages : en
Pages : 402
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Book Description
Evolved from the author's lectures at the University of Bonn's Institut für angewandte Mathematik, this book reviews recent progress toward understanding of the local structure of solutions of degenerate and singular parabolic partial differential equations.
Author: Emmanuele DiBenedetto
Publisher: Springer Science & Business Media
ISBN: 1461415845
Category : Mathematics
Languages : en
Pages : 287
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Book Description
Degenerate and singular parabolic equations have been the subject of extensive research for the last 25 years. Despite important achievements, the issue of the Harnack inequality for non-negative solutions to these equations, both of p-Laplacian and porous medium type, while raised by several authors, has remained basically open. Recently considerable progress has been made on this issue, to the point that, except for the singular sub-critical range, both for the p-laplacian and the porous medium equations, the theory is reasonably complete. It seemed therefore timely to trace a comprehensive overview, that would highlight the main issues and also the problems that still remain open. The authors give a comprehensive treatment of the Harnack inequality for non-negative solutions to p-laplace and porous medium type equations, both in the degenerate (p/i”2 or im/i”1) and in the singular range (1“ip/i2 or 0“im/i
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: University of Minnesota. Institute for Mathematics and Its Applications
Publisher:
ISBN:
Category :
Languages : en
Pages : 23
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Book Description
Author: V. Komornik
Publisher: Elsevier Masson
ISBN:
Category : Science
Languages : en
Pages : 172
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Book Description
Author: Emmanuele DiBenedetto
Publisher:
ISBN:
Category :
Languages : en
Pages : 173
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Book Description
Author: José Miguel Urbano
Publisher: Springer Science & Business Media
ISBN: 354075931X
Category : Mathematics
Languages : en
Pages : 158
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Book Description
This set of lectures, which had its origin in a mini course delivered at the Summer Program of IMPA (Rio de Janeiro), is an introduction to intrinsic scaling, a powerful method in the analysis of degenerate and singular PDEs.In the first part, the theory is presented from scratch for the model case of the degenerate p-Laplace equation. The second part deals with three applications of the theory to relevant models arising from flows in porous media and phase transitions.
Author: Fatiha Alabau-Boussouira
Publisher: Springer
ISBN: 3030179494
Category : Mathematics
Languages : en
Pages : 276
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Book Description
This book presents cutting-edge contributions in the areas of control theory and partial differential equations. Over the decades, control theory has had deep and fruitful interactions with the theory of partial differential equations (PDEs). Well-known examples are the study of the generalized solutions of Hamilton-Jacobi-Bellman equations arising in deterministic and stochastic optimal control and the development of modern analytical tools to study the controllability of infinite dimensional systems governed by PDEs. In the present volume, leading experts provide an up-to-date overview of the connections between these two vast fields of mathematics. Topics addressed include regularity of the value function associated to finite dimensional control systems, controllability and observability for PDEs, and asymptotic analysis of multiagent systems. The book will be of interest for both researchers and graduate students working in these areas.
