Linear Differential Operators, Cornelius Lanczos

Автор: Lopez Gomez Julian
Название: Linear Second Order Elliptic Operators
ISBN: 9814440248 ISBN-13(EAN): 9789814440240
Издательство: World Scientific Publishing
Цена: 48570.00 T
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Описание: The main goal of the book is to provide a comprehensive and self-contained proof of the, relatively recent, theorem of characterization of the strong maximum principle due to Molina-Meyer and the author, published in Diff. Int. Eqns. in 1994, which was later refined by Amann and the author in a paper published in J. of Diff. Eqns. in 1998. Besides this characterization has been shown to be a pivotal result for the development of the modern theory of spatially heterogeneous nonlinear elliptic and parabolic problems; it has allowed us to update the classical theory on the maximum and minimum principles by providing with some extremely sharp refinements of the classical results of Hopf and Protter-Weinberger. By a celebrated result of Berestycki, Nirenberg and Varadhan, Comm. Pure Appl. Maths. in 1994, the characterization theorem is partially true under no regularity constraints on the support domain for Dirichlet boundary conditions.Instead of encyclopedic generality, this book pays special attention to completeness, clarity and transparency of its exposition so that it can be taught even at an advanced undergraduate level. Adopting this perspective, it is a textbook; however, it is simultaneously a research monograph about the maximum principle, as it brings together for the first time in the form of a book, the most paradigmatic classical results together with a series of recent fundamental results scattered in a number of independent papers by the author of this book and his collaborators.Chapters 3, 4, and 5 can be delivered as a classical undergraduate, or graduate, course in Hilbert space techniques for linear second order elliptic operators, and Chaps. 1 and 2 complete the classical results on the minimum principle covered by the paradigmatic textbook of Protter and Weinberger by incorporating some recent classification theorems of supersolutions by Walter, 1989, and the author, 2003. Consequently, these five chapters can be taught at an undergraduate, or graduate, level. Chapters 6 and 7 study the celebrated theorem of Krein-Rutman and infer from it the characterizations of the strong maximum principle of Molina-Meyer and Amann, in collaboration with the author, which have been incorporated to a textbook by the first time here, as well as the results of Chaps. 8 and 9, polishing some recent joint work of Cano-Casanova with the author. Consequently, the second half of the book consists of a more specialized monograph on the maximum principle and the underlying principal eigenvalues.

Автор: Norbert Ortner; Peter Wagner
Название: Fundamental Solutions of Linear Partial Differential Operators
ISBN: 3319367994 ISBN-13(EAN): 9783319367996
Издательство: Springer
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Цена: 88500.00 T
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Описание: This monograph provides the theoretical foundations needed for the construction of fundamental solutions and fundamental matrices of (systems of) linear partial differential equations.

Автор: Amnon Pazy
Название: Semigroups of Linear Operators and Applications to Partial Differential Equations
ISBN: 1461255635 ISBN-13(EAN): 9781461255635
Издательство: Springer
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Цена: 121110.00 T
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Описание: Since the characterization of generators of C0 semigroups was established in the 1940s, semigroups of linear operators and its neighboring areas have developed into an abstract theory that has become a necessary discipline in functional analysis and differential equations.

Автор: Lars H?rmander
Название: Linear Partial Differential Operators
ISBN: 3642461778 ISBN-13(EAN): 9783642461774
Издательство: Springer
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Цена: 83850.00 T
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Описание: The aim of this book is to give a systematic study of questions con- cerning existence, uniqueness and regularity of solutions of linear partial differential equations and boundary problems. Functional analysis and distribution theory form the framework for the theory developed here.

Автор: Arthur A. Brown; Victor Pavlovic Palamodov
Название: Linear Differential Operators with Constant Coefficients
ISBN: 3642462219 ISBN-13(EAN): 9783642462214
Издательство: Springer
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Цена: 83850.00 T
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Описание: This book contains a systematic exposition of the facts relating to partial differential equations with constant coefficients.

Автор: David Applebaum
Название: Semigroups of Linear Operators: With Applications to Analysis, Probability and Physics
ISBN: 1108483097 ISBN-13(EAN): 9781108483094
Издательство: Cambridge Academ
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Цена: 120390.00 T
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Описание: The theory of semigroups of operators is a topic with great intellectual beauty and wide-ranging applications. This graduate-level introduction presents the essential elements of the theory, introducing the key notions and establishing the central theorems. A mixture of applications are included and further development directions are indicated.

Автор: David Applebaum
Название: Semigroups of Linear Operators: With Applications to Analysis, Probability and Physics
ISBN: 1108716377 ISBN-13(EAN): 9781108716376
Издательство: Cambridge Academ
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Цена: 40130.00 T
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Описание: The theory of semigroups of operators is a topic with great intellectual beauty and wide-ranging applications. This graduate-level introduction presents the essential elements of the theory, introducing the key notions and establishing the central theorems. A mixture of applications are included and further development directions are indicated.

Автор: Xie
Название: Differential Equations for Engineers
ISBN: 1107632951 ISBN-13(EAN): 9781107632950
Издательство: Cambridge Academ
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Цена: 63360.00 T
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Описание: Xie presents a systematic introduction to differential equations for engineering students. The relevance of differential equations in engineering applications motivates readers, and studies of various types of differential equations are determined by engineering applications. The theory and techniques for solving differential equations are then applied to solve practical engineering problems.

Автор: Morris W. Hirsch
Название: Differential Equations, Dynamical Systems, and an Introduction to Chaos
ISBN: 0123820103 ISBN-13(EAN): 9780123820105
Издательство: Elsevier Science
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Цена: 88690.00 T
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Описание: Suitable for students in the fields of mathematics, science, and engineering, this title provides a theoretical approach to dynamical systems and chaos. It helps them to analyze the types of differential equations that arise in their area of study.

Автор: Ahmad Shair
Название: Textbook on Ordinary Differential Equations
ISBN: 3319164074 ISBN-13(EAN): 9783319164076
Издательство: Springer
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Цена: 46570.00 T
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Описание: The second edition has been revised to correct minor errata, and features a number of carefully selected new exercises, together with more detailed explanations of some of the topics. A complete Solutions Manual, containing solutions to all the exercises published in the book, is available.