Polyharmonic Boundary Value Problems, Filippo Gazzola; Hans-Christoph Grunau; Guido Swee

Автор: Dumitru Motreanu; Viorica Venera Motreanu; Nikolao
Название: Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
ISBN: 1493944746 ISBN-13(EAN): 9781493944743
Издательство: Springer
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Цена: 102480.00 T
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Описание: With parallel treatment of smooth and non-smooth problems, this text on non-linear boundary value problems and related analysis has new material on Neumann problems involving non-homogeneous differential operators, seen here for the first time in book form.

Автор: Kazuaki Taira
Название: Semigroups, Boundary Value Problems and Markov Processes
ISBN: 3662517590 ISBN-13(EAN): 9783662517598
Издательство: Springer
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Цена: 102480.00 T
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Описание: The author studies a general class of elliptic boundary value problems for second-order, Waldenfels integro-differential operators in partial differential equations and proves that this class of elliptic boundary value problems provides a general class of Feller semigroups in functional analysis.

Автор: Kazuaki Taira
Название: Semigroups, Boundary Value Problems and Markov Processes
ISBN: 3642073719 ISBN-13(EAN): 9783642073717
Издательство: Springer
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Цена: 83850.00 T
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Описание: The purpose of this book is to provide a careful and accessible account along modern lines of the subject wh ich the title deals, as weIl as to discuss prob- lems of current interest in the field. Unlike many other books on Markov processes, this book focuses on the relationship between Markov processes and elliptic boundary value problems, with emphasis on the study of analytic semigroups. More precisely, this book is devoted to the functional analytic approach to a class of degenerate boundary value problems for second-order elliptic integro-differential operators, called Waldenfels operators, whi: h in- cludes as particular cases the Dirichlet and Robin problems. We prove that this class of boundary value problems provides a new example of analytic semi- groups both in the LP topology and in the topology of uniform convergence. As an application, we construct a strong Markov process corresponding to such a physical phenomenon that a Markovian particle moves both by jumps and continuously in the state space until it "dies" at the time when it reaches the set where the particle is definitely absorbed. The approach here is distinguished by the extensive use of the techniques characteristic of recent developments in the theory of partial differential equa- tions. The main technique used is the calculus of pseudo-differential operators which may be considered as a modern theory of potentials.

Автор: Dumitru Motreanu; Vicentiu D. Radulescu
Название: Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems
ISBN: 1441952489 ISBN-13(EAN): 9781441952486
Издательство: Springer
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Цена: 153720.00 T
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Описание: Excepting Sections 1 and 3 in Chapter 1 and Sections 1 and 3 in Chapter 2, the material is new in comparison with any other book, representing research topics where the authors contributed.

Автор: Myroslav L. Gorbachuk
Название: Boundary Value Problems for Operator Differential Equations
ISBN: 0792303814 ISBN-13(EAN): 9780792303817
Издательство: Springer
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Цена: 102480.00 T
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Описание: One service mathematics has rendered the "Et moi, "'f si favait su comment en revenir. je n 'y serais point alleC human raoe. It hat put common sense back where it belongs. on the topmost shelf next Jules Verne to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be smse'. Eric T. Bell able to do something with it. O. H eaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com- puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'elre of this series.

Автор: Xiaochun Liu; Bert-Wolfgang Schulze
Название: Boundary Value Problems with Global Projection Conditions
ISBN: 3319701134 ISBN-13(EAN): 9783319701134
Издательство: Springer
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Цена: 93160.00 T
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Описание: This book presents boundary value problems for arbitrary elliptic pseudo-differential operators on a smooth compact manifold with boundary. In this regard, every operator admits global projection boundary conditions, giving rise to analogues of Toeplitz operators in subspaces of Sobolev spaces on the boundary associated with pseudo-differential projections. The book describes how these operator classes form algebras, and establishes the concept for Boutet de Monvel’s calculus, as well as for operators on manifolds with edges, including the case of operators without the transmission property. Further, it shows how the calculus contains parametrices of elliptic elements. Lastly, the book describes natural connections to ellipticity of Atiyah-Patodi-Singer type for Dirac and other geometric operators, in particular spectral boundary conditions with Calder?n-Seeley projections and the characterization of Cauchy data spaces.

Автор: Taira, Kazuaki
Название: Semigroups, boundary value problems and markov processes
ISBN: 3662436957 ISBN-13(EAN): 9783662436950
Издательство: Springer
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Цена: 111790.00 T
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Описание: Semigroups, Boundary Value Problems and Markov Processes