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Download or read book Kernel Estimates for Perturbations of Positive Semigroups written by and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jacek Banasiak
Publisher : Springer Science & Business Media
ISBN 13 : 1846281539
Total Pages : 443 pages
Book Rating : 4.8/5 (462 download)
Download or read book Perturbations of Positive Semigroups with Applications written by Jacek Banasiak and published by Springer Science & Business Media. This book was released on 2006-02-02 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals mainly with modelling systems that change with time. The evolution equations that it describes can be found in a number of application areas, such as kinetics, fragmentation theory and mathematical biology. This will be the first self-contained account of the area.
Author :
Publisher :
ISBN 13 :
Total Pages : 438 pages
Book Rating : 4.:/5 (114 download)
Download or read book Perturbations of Positive Semigroups with Applications written by and published by . This book was released on 2006 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tsuyoshi Ando
Publisher : Springer Science & Business Media
ISBN 13 : 3764388935
Total Pages : 249 pages
Book Rating : 4.7/5 (643 download)
Download or read book Recent Advances in Operator Theory and Applications written by Tsuyoshi Ando and published by Springer Science & Business Media. This book was released on 2008-12-19 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains the proceedings of the International Workshop on Operator Theory and Applications (IWOTA 2006) held at Seoul National University, Seoul, Korea, from July 31 to August 3, 2006. This volume contains sixteen research papers which reflect developments in operator theory and applications.
Author : Ralph DeLaubenfels
Publisher : Springer
ISBN 13 : 3540483225
Total Pages : 254 pages
Book Rating : 4.5/5 (44 download)
Download or read book Existence Families, Functional Calculi and Evolution Equations written by Ralph DeLaubenfels and published by Springer. This book was released on 2006-11-15 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an operator-theoretic approach to ill-posed evolution equations. It presents the basic theory, and the more surprising examples, of generalizations of strongly continuous semigroups known as 'existent families' and 'regularized semigroups'. These families of operators may be used either to produce all initial data for which a solution in the original space exists, or to construct a maximal subspace on which the problem is well-posed. Regularized semigroups are also used to construct functional, or operational, calculi for unbounded operators. The book takes an intuitive and constructive approach by emphasizing the interaction between functional calculus constructions and evolution equations. One thinks of a semigroup generated by A as etA and thinks of a regularized semigroup generated by A as etA g(A), producing solutions of the abstract Cauchy problem for initial data in the image of g(A). Material that is scattered throughout numerous papers is brought together and presented in a fresh, organized way, together with a great deal of new material.
Author : Wolfgang Arendt
Publisher : Springer Science & Business Media
ISBN 13 : 3034800878
Total Pages : 540 pages
Book Rating : 4.0/5 (348 download)
Download or read book Vector-valued Laplace Transforms and Cauchy Problems written by Wolfgang Arendt and published by Springer Science & Business Media. This book was released on 2011-04-05 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph gives a systematic account of the theory of vector-valued Laplace transforms, ranging from representation theory to Tauberian theorems. In parallel, the theory of linear Cauchy problems and semigroups of operators is developed completely in the spirit of Laplace transforms. Existence and uniqueness, regularity, approximation and above all asymptotic behaviour of solutions are studied. Diverse applications to partial differential equations are given. The book contains an introduction to the Bochner integral and several appendices on background material. It is addressed to students and researchers interested in evolution equations, Laplace and Fourier transforms, and functional analysis. The second edition contains detailed notes on the developments in the last decade. They include, for instance, a new characterization of well-posedness of abstract wave equations in Hilbert space due to M. Crouzeix. Moreover new quantitative results on asymptotic behaviour of Laplace transforms have been added. The references are updated and some errors have been corrected.
Author : C.M. Dafermos
Publisher : Elsevier
ISBN 13 : 0080521827
Total Pages : 579 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of Differential Equations: Evolutionary Equations written by C.M. Dafermos and published by Elsevier. This book was released on 2004-08-24 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains several introductory texts concerning the main directions in the theory of evolutionary partial differential equations. The main objective is to present clear, rigorous,and in depth surveys on the most important aspects of the present theory. The table of contents includes: W.Arendt: Semigroups and evolution equations: Calculus, regularity and kernel estimatesA.Bressan: The front tracking method for systems of conservation lawsE.DiBenedetto, J.M.Urbano,V.Vespri: Current issues on singular and degenerate evolution equations;L.Hsiao, S.Jiang: Nonlinear hyperbolic-parabolic coupled systemsA.Lunardi: Nonlinear parabolic equations and systemsD.Serre:L1-stability of nonlinear waves in scalar conservation laws B.Perthame:Kinetic formulations of parabolic and hyperbolic PDE's: from theory to numerics
Author : Michael Demuth
Publisher : Springer Science & Business Media
ISBN 13 : 3034805918
Total Pages : 344 pages
Book Rating : 4.0/5 (348 download)
Download or read book Mathematical Physics, Spectral Theory and Stochastic Analysis written by Michael Demuth and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents self-contained survey articles on modern research areas written by experts in their fields. The topics are located at the interface of spectral theory, theory of partial differential operators, stochastic analysis, and mathematical physics. The articles are accessible to graduate students and researches from other fields of mathematics or physics while also being of value to experts, as they report on the state of the art in the respective fields.
Author :
Publisher :
ISBN 13 :
Total Pages : 868 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Giovanni Dore
Publisher : CRC Press
ISBN 13 : 1000153657
Total Pages : 290 pages
Book Rating : 4.0/5 (1 download)
Download or read book Differential Equations in Banach Spaces written by Giovanni Dore and published by CRC Press. This book was released on 2020-10-08 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference - based on the Conference on Differential Equations, held in Bologna - provides information on current research in parabolic and hyperbolic differential equations. Presenting methods and results in semigroup theory and their applications to evolution equations, this book focuses on topics including: abstract parabolic and hyperbolic linear differential equations; nonlinear abstract parabolic equations; holomorphic semigroups; and Volterra operator integral equations.;With contributions from international experts, Differential Equations in Banach Spaces is intended for research mathematicians in functional analysis, partial differential equations, operator theory and control theory; and students in these disciplines.
Author : Michael Demuth
Publisher : Birkhäuser
ISBN 13 : 3034884605
Total Pages : 476 pages
Book Rating : 4.0/5 (348 download)
Download or read book Stochastic Spectral Theory for Selfadjoint Feller Operators written by Michael Demuth and published by Birkhäuser. This book was released on 2012-12-06 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, a beautiful interplay between probability theory (Markov processes, martingale theory) on the one hand and operator and spectral theory on the other yields a uniform treatment of several kinds of Hamiltonians such as the Laplace operator, relativistic Hamiltonian, Laplace-Beltrami operator, and generators of Ornstein-Uhlenbeck processes. The unified approach provides a new viewpoint of and a deeper insight into the subject.
Author : Tosio Kato
Publisher : Springer Science & Business Media
ISBN 13 : 3662126788
Total Pages : 610 pages
Book Rating : 4.6/5 (621 download)
Download or read book Perturbation theory for linear operators written by Tosio Kato and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marius Tucsnak
Publisher : Springer Science & Business Media
ISBN 13 : 3764389931
Total Pages : 488 pages
Book Rating : 4.7/5 (643 download)
Download or read book Observation and Control for Operator Semigroups written by Marius Tucsnak and published by Springer Science & Business Media. This book was released on 2009-03-13 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies observation and control operators for linear systems where the free evolution of the state can be described by an operator semigroup on a Hilbert space. It includes a large number of examples coming mostly from partial differential equations.
Author : Fritz Gesztesy
Publisher : American Mathematical Soc.
ISBN 13 : 082184248X
Total Pages : 528 pages
Book Rating : 4.8/5 (218 download)
Download or read book Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday written by Fritz Gesztesy and published by American Mathematical Soc.. This book was released on 2007 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift had its origins in a conference called SimonFest held at Caltech, March 27-31, 2006, to honor Barry Simon's 60th birthday. It is not a proceedings volume in the usual sense since the emphasis of the majority of the contributions is on reviews of the state of the art of certain fields, with particular focus on recent developments and open problems. The bulk of the articles in this Festschrift are of this survey form, and a few review Simon's contributions to aparticular area. Part 1 contains surveys in the areas of Quantum Field Theory, Statistical Mechanics, Nonrelativistic Two-Body and $N$-Body Quantum Systems, Resonances, Quantum Mechanics with Electric and Magnetic Fields, and the Semiclassical Limit. Part 2 contains surveys in the areas of Random andErgodic Schrodinger Operators, Singular Continuous Spectrum, Orthogonal Polynomials, and Inverse Spectral Theory. In several cases, this collection of surveys portrays both the history of a subject and its current state of the art. A substantial part of the contributions to this Festschrift are survey articles on the state of the art of certain areas with special emphasis on open problems. This will benefit graduate students as well as researchers who want to get a quick, yet comprehensiveintroduction into an area covered in this volume.
Author : Zhen-qing Chen
Publisher : World Scientific
ISBN 13 : 981459654X
Total Pages : 618 pages
Book Rating : 4.8/5 (145 download)
Download or read book Festschrift Masatoshi Fukushima: In Honor Of Masatoshi Fukushima's Sanju written by Zhen-qing Chen and published by World Scientific. This book was released on 2014-11-27 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains original research papers by leading experts in the fields of probability theory, stochastic analysis, potential theory and mathematical physics. There is also a historical account on Masatoshi Fukushima's contribution to mathematics, as well as authoritative surveys on the state of the art in the field.
Author : Jun Kigami
Publisher : American Mathematical Soc.
ISBN 13 : 082185299X
Total Pages : 145 pages
Book Rating : 4.8/5 (218 download)
Download or read book Resistance Forms, Quasisymmetric Maps and Heat Kernel Estimates written by Jun Kigami and published by American Mathematical Soc.. This book was released on 2012-02-22 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assume that there is some analytic structure, a differential equation or a stochastic process for example, on a metric space. To describe asymptotic behaviors of analytic objects, the original metric of the space may not be the best one. Every now and then one can construct a better metric which is somehow ``intrinsic'' with respect to the analytic structure and under which asymptotic behaviors of the analytic objects have nice expressions. The problem is when and how one can find such a metric. In this paper, the author considers the above problem in the case of stochastic processes associated with Dirichlet forms derived from resistance forms. The author's main concerns are the following two problems: (I) When and how to find a metric which is suitable for describing asymptotic behaviors of the heat kernels associated with such processes. (II) What kind of requirement for jumps of a process is necessary to ensure good asymptotic behaviors of the heat kernels associated with such processes.
Author : Klaus-Jochen Engel
Publisher : Springer Science & Business Media
ISBN 13 : 0387226427
Total Pages : 609 pages
Book Rating : 4.3/5 (872 download)
Download or read book One-Parameter Semigroups for Linear Evolution Equations written by Klaus-Jochen Engel and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the theory of strongly continuous one-parameter semigroups of linear operators. A special feature of the text is an unusually wide range of applications such as to ordinary and partial differential operators, to delay and Volterra equations, and to control theory. Also, the book places an emphasis on philosophical motivation and the historical background.
