Corrigendum And Improvements To Carleman Estimates Observability Inequalities And Null Controllability For Interior Degenerate Nonsmooth Parabolic Equations And Its Consequences PDF Download
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Author | : Genni Fragnelli |
Publisher | : |
Total Pages | : 32 |
Release | : 2021 |
Genre | : Carleman theorem |
ISBN | : 9781470467487 |
Download Corrigendum and Improvements to "Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations" and Its Consequences Book in PDF, ePub and Kindle
Author | : Genni Fragnelli |
Publisher | : American Mathematical Society |
Total Pages | : 19 |
Release | : 2021-11-16 |
Genre | : Mathematics |
ISBN | : 1470447878 |
Download Corrigendum and Improvements to “Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations” and Its Consequences Book in PDF, ePub and Kindle
View the abstract.
Author | : Genni Fragnelli |
Publisher | : |
Total Pages | : 84 |
Release | : 2016 |
Genre | : Carleman theorem |
ISBN | : 9781470429461 |
Download Carleman Estimates, Observability Inequalities, and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations Book in PDF, ePub and Kindle
We consider a parabolic problem with degeneracy in the interior of the spatial domain, and we 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.
Author | : Genni Fragnelli |
Publisher | : Springer Nature |
Total Pages | : 105 |
Release | : 2021-04-06 |
Genre | : Mathematics |
ISBN | : 303069349X |
Download Control of Degenerate and Singular Parabolic Equations Book in PDF, ePub and Kindle
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 | : P. Cannarsa |
Publisher | : American Mathematical Soc. |
Total Pages | : 225 |
Release | : 2016-01-25 |
Genre | : Mathematics |
ISBN | : 1470414961 |
Download Global Carleman Estimates for Degenerate Parabolic Operators with Applications Book in PDF, ePub and Kindle
Degenerate parabolic operators have received increasing attention in recent years because they are associated with both important theoretical analysis, such as stochastic diffusion processes, and interesting applications to engineering, physics, biology, and economics. This manuscript has been conceived to introduce the reader to global Carleman estimates for a class of parabolic operators which may degenerate at the boundary of the space domain, in the normal direction to the boundary. Such a kind of degeneracy is relevant to study the invariance of a domain with respect to a given stochastic diffusion flow, and appears naturally in climatology models.
Author | : Gaston M. N'Guérékata |
Publisher | : Springer Nature |
Total Pages | : 275 |
Release | : 2021-10-27 |
Genre | : Mathematics |
ISBN | : 3030777049 |
Download Studies in Evolution Equations and Related Topics Book in PDF, ePub and Kindle
This volume features recent development and techniques in evolution equations by renown experts in the field. Each contribution emphasizes the relevance and depth of this important area of mathematics and its expanding reach into the physical, biological, social, and computational sciences as well as into engineering and technology. The reader will find an accessible summary of a wide range of active research topics, along with exciting new results. Topics include: Impulsive implicit Caputo fractional q-difference equations in finite and infinite dimensional Banach spaces; optimal control of averaged state of a population dynamic model; structural stability of nonlinear elliptic p(u)-Laplacian problem with Robin-type boundary condition; exponential dichotomy and partial neutral functional differential equations, stable and center-stable manifolds of admissible class; global attractor in Alpha-norm for some partial functional differential equations of neutral and retarded type; and more. Researchers in mathematical sciences, biosciences, computational sciences and related fields, will benefit from the rich and useful resources provided. Upper undergraduate and graduate students may be inspired to contribute to this active and stimulating field.
Author | : Genni Fragnelli |
Publisher | : American Mathematical Soc. |
Total Pages | : 96 |
Release | : 2016-06-21 |
Genre | : Mathematics |
ISBN | : 1470419548 |
Download Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations Book in PDF, ePub and Kindle
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.
Author | : Angelo Favini |
Publisher | : Springer |
Total Pages | : 472 |
Release | : 2014-11-27 |
Genre | : Mathematics |
ISBN | : 3319114069 |
Download New Prospects in Direct, Inverse and Control Problems for Evolution Equations Book in PDF, ePub and Kindle
This book, based on a selection of talks given at a dedicated meeting in Cortona, Italy, in June 2013, shows the high degree of interaction between a number of fields related to applied sciences. Applied sciences consider situations in which the evolution of a given system over time is observed, and the related models can be formulated in terms of evolution equations (EEs). These equations have been studied intensively in theoretical research and are the source of an enormous number of applications. In this volume, particular attention is given to direct, inverse and control problems for EEs. The book provides an updated overview of the field, revealing its richness and vitality.
Author | : Mimmo Iannelli |
Publisher | : Springer |
Total Pages | : 351 |
Release | : 2015-01-23 |
Genre | : Mathematics |
ISBN | : 3319030264 |
Download An Introduction to Mathematical Population Dynamics Book in PDF, ePub and Kindle
This book is an introduction to mathematical biology for students with no experience in biology, but who have some mathematical background. The work is focused on population dynamics and ecology, following a tradition that goes back to Lotka and Volterra, and includes a part devoted to the spread of infectious diseases, a field where mathematical modeling is extremely popular. These themes are used as the area where to understand different types of mathematical modeling and the possible meaning of qualitative agreement of modeling with data. The book also includes a collections of problems designed to approach more advanced questions. This material has been used in the courses at the University of Trento, directed at students in their fourth year of studies in Mathematics. It can also be used as a reference as it provides up-to-date developments in several areas.
Author | : Thierry Cazenave |
Publisher | : Oxford University Press |
Total Pages | : 204 |
Release | : 1998 |
Genre | : Computers |
ISBN | : 9780198502777 |
Download An Introduction to Semilinear Evolution Equations Book in PDF, ePub and Kindle
This book presents in a self-contained form the typical basic properties of solutions to semilinear evolutionary partial differential equations, with special emphasis on global properties. It has a didactic ambition and will be useful for an applied readership as well as theoretical researchers.