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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 version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Corrigendum And Improvements To Carleman Estimates Observability Inequalities And Null Controllability For Interior Degenerate Nonsmooth Parabolic Equations And Its Consequences book. This book definitely worth reading, it is an incredibly well-written.
Author : Genni Fragnelli,Dimitri Mugnai
Publisher : American Mathematical Society
Page : 19 pages
File Size : 49,6 Mb
Release : 2021-11-16
Category : Mathematics
ISBN : 9781470447878
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Author : Genni Fragnelli,Dimitri Mugnai
Publisher : Unknown
Page : 84 pages
File Size : 54,7 Mb
Release : 2016
Category : Carleman theorem
ISBN : 1470429462
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,Dimitri Mugnai
Publisher : Springer Nature
Page : 105 pages
File Size : 49,6 Mb
Release : 2021-04-06
Category : Mathematics
ISBN : 9783030693497
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 : Kenneth R. Davidson,Adam Fuller,Evgenios T. A. Kakariadis
Publisher : American Mathematical Soc.
Page : 97 pages
File Size : 54,9 Mb
Release : 2017-04-25
Category : Operator algebras
ISBN : 9781470423094
The authors examine the semicrossed products of a semigroup action by -endomorphisms on a C*-algebra, or more generally of an action on an arbitrary operator algebra by completely contractive endomorphisms. The choice of allowable representations affects the corresponding universal algebra. The authors seek quite general conditions which will allow them to show that the C*-envelope of the semicrossed product is (a full corner of) a crossed product of an auxiliary C*-algebra by a group action. Their analysis concerns a case-by-case dilation theory on covariant pairs. In the process we determine the C*-envelope for various semicrossed products of (possibly nonselfadjoint) operator algebras by spanning cones and lattice-ordered abelian semigroups.
Author : Gaston M. N'Guérékata,Bourama Toni
Publisher : Springer Nature
Page : 275 pages
File Size : 40,7 Mb
Release : 2021-10-27
Category : Mathematics
ISBN : 9783030777043
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,Dimitri Mugnai
Publisher : American Mathematical Soc.
Page : 83 pages
File Size : 40,8 Mb
Release : 2016-06-21
Category : Carleman theorem
ISBN : 9781470419547
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,Genni Fragnelli,Rosa Maria Mininni
Publisher : Springer
Page : 472 pages
File Size : 51,5 Mb
Release : 2014-11-27
Category : Mathematics
ISBN : 9783319114064
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,Andrea Pugliese
Publisher : Springer
Page : 346 pages
File Size : 53,6 Mb
Release : 2015-01-23
Category : Mathematics
ISBN : 9783319030265
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,Alain Haraux
Publisher : Oxford University Press
Page : 204 pages
File Size : 43,6 Mb
Release : 1998
Category : Computers
ISBN : 019850277X
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.
Author : Alain Bensoussan
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 43,8 Mb
Release : 1992
Category : Language Arts & Disciplines
ISBN : STANFORD:36105006018241
The quadratic cost optimal control problem for systems described by linear ordinary differential equations occupies a central role in the study of control systems both from the theoretical and design points of view. The study of this problem over an infinite time horizon shows the beautiful interplay between optimality and the qualitative properties of systems such as controllability, observability and stability. This theory is far more difficult for infinite-dimensional systems such as systems with time delay and distributed parameter systems. In the first place, the difficulty stems from the essential unboundedness of the system operator. Secondly, when control and observation are exercised through the boundary of the domain, the operator representing the sensor and actuator are also often unbounded. The present book, in two volumes, is in some sense a self-contained account of this theory of quadratic cost optimal control for a large class of infinite-dimensional systems. Volume I deals with the theory of time evolution of controlled infinite-dimensional systems. It contains a reasonably complete account of the necessary semigroup theory and the theory of delay-differential and partial differential equations. Volume II deals with the optimal control of such systems when performance is measured via a quadratic cost. It covers recent work on the boundary control of hyperbolic systems and exact controllability. Some of the material covered here appears for the first time in book form. The book should be useful for mathematicians and theoretical engineers interested in the field of control.
Author : M. B. Paranjape,Richard MacKenzie,Zora Thomova,Pavel Winternitz,William Witczak-Krempa
Publisher : Springer Nature
Page : 670 pages
File Size : 55,8 Mb
Release : 2021
Category : Electronic books
ISBN : 9783030557775
This volume of the CRM Conference Series is based on a carefully refereed selection of contributions presented at the "11th International Symposium on Quantum Theory and Symmetries", held in Montreal, Canada from July 1-5, 2019. The main objective of the meeting was to share and make accessible new research and recent results in several branches of Theoretical and Mathematical Physics, including Algebraic Methods, Condensed Matter Physics, Cosmology and Gravitation, Integrability, Non-perturbative Quantum Field Theory, Particle Physics, Quantum Computing and Quantum Information Theory, and String/ADS-CFT. There was also a special session in honour of Decio Levi. The volume is divided into sections corresponding to the sessions held during the symposium, allowing the reader to appreciate both the homogeneity and the diversity of mathematical tools that have been applied in these subject areas. Several of the plenary speakers, who are internationally recognized experts in their fields, have contributed reviews of the main topics to complement the original contributions. .
Author : Jerome A. Goldstein
Publisher : Courier Dover Publications
Page : 320 pages
File Size : 48,9 Mb
Release : 2017-05-17
Category : Mathematics
ISBN : 9780486822228
Advanced graduate-level treatment of semigroup theory explores semigroups of linear operators and linear Cauchy problems. The text features challenging exercises and emphasizes motivation, heuristics, and further applications. 1985 edition.
Author : Leszek Gasinski,Nikolaos S. Papageorgiou
Publisher : CRC Press
Page : 992 pages
File Size : 53,8 Mb
Release : 2005-07-27
Category : Mathematics
ISBN : 1584884843
Nonlinear analysis is a broad, interdisciplinary field characterized by a remarkable mixture of analysis, topology, and applications. Its concepts and techniques provide the tools for developing more realistic and accurate models for a variety of phenomena encountered in fields ranging from engineering and chemistry to economics and biology. This volume focuses on topics in nonlinear analysis pertinent to the theory of boundary value problems and their application in areas such as control theory and the calculus of variations. It complements the many other books on nonlinear analysis by addressing topics previously discussed fully only in scattered research papers. These include recent results on critical point theory, nonlinear differential operators, and related regularity and comparison principles. The rich variety of topics, both theoretical and applied, make Nonlinear Analysis useful to anyone, whether graduate student or researcher, working in analysis or its applications in optimal control, theoretical mechanics, or dynamical systems. An appendix contains all of the background material needed, and a detailed bibliography forms a guide for further study.
Author : Chao Wang
Publisher : American Mathematical Soc.
Page : 119 pages
File Size : 51,6 Mb
Release : 2021-07-21
Category : Education
ISBN : 9781470446895
In this paper, we prove the local well-posedness of the free boundary problem for the incompressible Euler equations in low regularity Sobolev spaces, in which the velocity is a Lipschitz function and the free surface belongs to C 3 2 +ε. Moreover, we also present a Beale-Kato-Majda type break-down criterion of smooth solution in terms of the mean curvature of the free surface, the gradient of the velocity and Taylor sign condition.
Author : Stuart Margolis,Franco Saliola,Benjamin Steinberg
Publisher : American Mathematical Society
Page : 135 pages
File Size : 49,7 Mb
Release : 2021-12-30
Category : Mathematics
ISBN : 9781470450427
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