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Evolution Equations And Scales Of Banach Spaces

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Evolution Equations In Scales Of Banach Spaces

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Author : Oliver Caps
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Evolution Equations In Scales Of Banach Spaces written by Oliver Caps and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

The book provides a new functional-analytic approach to evolution equations by considering the abstract Cauchy problem in a scale of Banach spaces. The usual functional analytic methods for studying evolution equations are formu lated within the setting of unbounded, closed operators in one Banach space. This setting is not adapted very well to the study of many pseudo differential and differential equations because these operators are naturally not given as closed, unbounded operators in one Banach space but as continuous opera tors in a scale of function spaces. Thus, applications within the setting of unbounded, closed operators require a considerable amount of additional work because one has to construct suitable closed realizations of these operators. This choice of closed realizations is technically complicated even for simple applications. The main feature of the new functional analytic approach of the book is to study the operators in scales of Banach spaces that are constructed by simple reference operators. This is a natural setting for many operators acting in scales of function spaces. The operators are only expected to respect the scale and to satisfy certain inequalities but we can avoid completely the choice of any closed realization of these operators which is of great importance in applications. We use the mapping properties of the reference operators to prove sufficient conditions for well-posedness of linear and quasilinear Cauchy problems. In the linear, time-dependent case these conditions are shown to characterize well-posedness. A similar result in the standard setting (i. e.

Evolution Equations And Scales Of Banach Spaces

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Author : Gui-Zhong Liu
language : en
Publisher:
Release Date : 1989

Evolution Equations And Scales Of Banach Spaces written by Gui-Zhong Liu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Semigroups of operators categories.

Linear And Quasilinear Evolution Equations In Scales Of Banach Spaces

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Author : Oliver Caps
language : en
Publisher:
Release Date : 2000

Linear And Quasilinear Evolution Equations In Scales Of Banach Spaces written by Oliver Caps and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.

Linear And Quasilinear Parabolic Problems

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Author : Herbert Amann
language : en
Publisher: Springer Science & Business Media
Release Date : 1995

Linear And Quasilinear Parabolic Problems written by Herbert Amann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Differential equations, Parabolic categories.

Evolution Equations Semigroups And Functional Analysis

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Author : Brunello Terreni
language : en
Publisher: Springer Science & Business Media
Release Date : 2002

Evolution Equations Semigroups And Functional Analysis written by Brunello Terreni and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.

Brunello Terreni (1953-2000) was a researcher and teacher with vision and dedication. The present volume is dedicated to the memory of Brunello Terreni. His mathematical interests are reflected in 20 expository articles written by distinguished mathematicians. The unifying theme of the articles is "evolution equations and functional analysis", which is presented in various and diverse forms: parabolic equations, semigroups, stochastic evolution, optimal control, existence, uniqueness and regularity of solutions, inverse problems as well as applications. Contributors: P. Acquistapace, V. Barbu, A. Briani, L. Boccardo, P. Colli Franzone, G. Da Prato, D. Donatelli, A. Favini, M. Fuhrmann, M. Grasselli, R. Illner, H. Koch, R. Labbas, H. Lange, I. Lasiecka, A. Lorenzi, A. Lunardi, P. Marcati, R. Nagel, G. Nickel, V. Pata, M. M. Porzio, B. Ruf, G. Savaré, R. Schnaubelt, E. Sinestrari, H. Tanabe, H. Teismann, E. Terraneo, R. Triggiani, A. Yagi

One Parameter Semigroups For Linear Evolution Equations

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Author : Klaus-Jochen Engel
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-06

One Parameter Semigroups For Linear Evolution Equations written by Klaus-Jochen Engel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-06 with Mathematics categories.

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.

Evolution Equations Semigroups And Functional Analysis

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Author : Alfredo Lorenzi
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Evolution Equations Semigroups And Functional Analysis written by Alfredo Lorenzi and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Averaged Evolution Equations

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Author : Alberto Arosio
language : de
Publisher:
Release Date : 1995

Averaged Evolution Equations written by Alberto Arosio and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.

Functional Analytic Methods In Complex Analysis And Applications To Partial Differential Equations

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Author : A S A Mshimba
language : en
Publisher: World Scientific
Release Date : 1995-10-17

Functional Analytic Methods In Complex Analysis And Applications To Partial Differential Equations written by A S A Mshimba and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-10-17 with categories.

These proceedings concentrate on recent results in the following fields of complex analysis: complex methods for solving boundary value problems with piecewise smooth boundary data, complex methods for linear and nonlinear differential equations and systems of second order, and applications of scales of Banach spaces to initial value problems.Some problems in higher dimensions (such as the unification of global and local existence theorems for holomorphic functions and an elementary approach to Clifford analysis) are also discussed.Particular emphasis is placed on Symbolic Computation in Complex Analysis and on the new approaches to teach mathematical analysis based on interactions between complex analysis and partial differential equations.

A Unified Theory Of Nonlinear Operator And Evolution Equations With Applications

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Author : Mieczyslaw Altman
language : en
Publisher:
Release Date : 1986

A Unified Theory Of Nonlinear Operator And Evolution Equations With Applications written by Mieczyslaw Altman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.

Evolution Equations And Scales Of Banach Spaces

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