Second Order Linear Differential Equations In Banach Spaces
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Author |
: H.O. Fattorini |
Publisher |
: Elsevier |
Total Pages |
: 329 |
Release |
: 2011-08-18 |
ISBN-10 |
: 9780080872193 |
ISBN-13 |
: 0080872190 |
Rating |
: 4/5 (93 Downloads) |
Synopsis Second Order Linear Differential Equations in Banach Spaces by : H.O. Fattorini
Second order linear differential equations in Banach spaces can be used for modelling such second order equations of mathematical physics as the wave equation, the Klein-Gordon equation, et al. In this way, a unified treatment can be given to subjects such as growth of solutions, singular perturbation of parabolic, hyperbolic and Schrödinger type initial value problems, and the like. The book covers in detail these subjects as well as the applications to each specific problem.
Author |
: Selim Grigorʹevich Kreĭn |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 400 |
Release |
: 1971 |
ISBN-10 |
: UOM:39015049310488 |
ISBN-13 |
: |
Rating |
: 4/5 (88 Downloads) |
Synopsis Linear Differential Equations in Banach Space by : Selim Grigorʹevich Kreĭn
Author |
: Angelo Favini |
Publisher |
: CRC Press |
Total Pages |
: 338 |
Release |
: 1998-09-10 |
ISBN-10 |
: 0824716779 |
ISBN-13 |
: 9780824716776 |
Rating |
: 4/5 (79 Downloads) |
Synopsis Degenerate Differential Equations in Banach Spaces by : Angelo Favini
This work presents a detailed study of linear abstract degenerate differential equations, using both the semigroups generated by multivalued (linear) operators and extensions of the operational method from Da Prato and Grisvard. The authors describe the recent and original results on PDEs and algebraic-differential equations, and establishes the analyzability of the semigroup generated by some degenerate parabolic operators in spaces of continuous functions.
Author |
: Alexander Ya. Shklyar |
Publisher |
: Birkhäuser |
Total Pages |
: 225 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9783034891875 |
ISBN-13 |
: 3034891873 |
Rating |
: 4/5 (75 Downloads) |
Synopsis Complete Second Order Linear Differential Equations in Hilbert Spaces by : Alexander Ya. Shklyar
Incomplete second order linear differential equations in Banach spaces as well as first order equations have become a classical part of functional analysis. This monograph is an attempt to present a unified systematic theory of second order equations y" (t) + Ay' (t) + By (t) = 0 including well-posedness of the Cauchy problem as well as the Dirichlet and Neumann problems. Exhaustive yet clear answers to all posed questions are given. Special emphasis is placed on new surprising effects arising for complete second order equations which do not take place for first order and incomplete second order equations. For this purpose, some new results in the spectral theory of pairs of operators and the boundary behavior of integral transforms have been developed. The book serves as a self-contained introductory course and a reference book on this subject for undergraduate and post- graduate students and research mathematicians in analysis. Moreover, users will welcome having a comprehensive study of the equations at hand, and it gives insight into the theory of complete second order linear differential equations in a general context - a theory which is far from being fully understood.
Author |
: Giovanni Dore |
Publisher |
: CRC Press |
Total Pages |
: 290 |
Release |
: 1993-08-05 |
ISBN-10 |
: 0824790677 |
ISBN-13 |
: 9780824790677 |
Rating |
: 4/5 (77 Downloads) |
Synopsis Differential Equations in Banach Spaces by : Giovanni Dore
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 |
: S. G. Kreui |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 398 |
Release |
: 2011-07-14 |
ISBN-10 |
: 9780821869031 |
ISBN-13 |
: 0821869035 |
Rating |
: 4/5 (31 Downloads) |
Synopsis Linear Differential Equations in Banach Space by : S. G. Kreui
Author |
: Gisele Ruiz Goldstein |
Publisher |
: CRC Press |
Total Pages |
: 442 |
Release |
: 2003-06-24 |
ISBN-10 |
: 0824709756 |
ISBN-13 |
: 9780824709754 |
Rating |
: 4/5 (56 Downloads) |
Synopsis Evolution Equations by : Gisele Ruiz Goldstein
Celebrating the work of renowned mathematician Jerome A. Goldstein, this reference compiles original research on the theory and application of evolution equations to stochastics, physics, engineering, biology, and finance. The text explores a wide range of topics in linear and nonlinear semigroup theory, operator theory, functional analysis, and linear and nonlinear partial differential equations, and studies the latest theoretical developments and uses of evolution equations in a variety of disciplines. Providing nearly 500 references, the book contains discussions by renowned mathematicians such as H. Brezis, G. Da Prato, N.E. Gretskij, I. Lasiecka, Peter Lax, M. M. Rao, and R. Triggiani.
Author |
: Giuseppe Da Prato |
Publisher |
: Cambridge University Press |
Total Pages |
: 206 |
Release |
: 2002-07-25 |
ISBN-10 |
: 0521777291 |
ISBN-13 |
: 9780521777292 |
Rating |
: 4/5 (91 Downloads) |
Synopsis Second Order Partial Differential Equations in Hilbert Spaces by : Giuseppe Da Prato
Second order linear parabolic and elliptic equations arise frequently in mathematics and other disciplines. For example parabolic equations are to be found in statistical mechanics and solid state theory, their infinite dimensional counterparts are important in fluid mechanics, mathematical finance and population biology, whereas nonlinear parabolic equations arise in control theory. Here the authors present a state of the art treatment of the subject from a new perspective. The main tools used are probability measures in Hilbert and Banach spaces and stochastic evolution equations. There is then a discussion of how the results in the book can be applied to control theory. This area is developing very rapidly and there are numerous notes and references that point the reader to more specialised results not covered in the book. Coverage of some essential background material will help make the book self-contained and increase its appeal to those entering the subject.
Author |
: Haim Brezis |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 600 |
Release |
: 2010-11-02 |
ISBN-10 |
: 9780387709147 |
ISBN-13 |
: 0387709142 |
Rating |
: 4/5 (47 Downloads) |
Synopsis Functional Analysis, Sobolev Spaces and Partial Differential Equations by : Haim Brezis
This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.
Author |
: R. E. Gaines |
Publisher |
: Springer |
Total Pages |
: 267 |
Release |
: 2006-11-15 |
ISBN-10 |
: 9783540375012 |
ISBN-13 |
: 3540375015 |
Rating |
: 4/5 (12 Downloads) |
Synopsis Coincidence Degree and Nonlinear Differential Equations by : R. E. Gaines