Partial Differential Equations and Spectral Theory, Michael Demuth; Bert-Wolfgang Schulze

Автор: Stefan Hildebrandt; David Kinderlehrer; Mario Mira
Название: Calculus of Variations and Partial Differential Equations
ISBN: 3540501193 ISBN-13(EAN): 9783540501190
Издательство: Springer
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Автор: Nemytskii Viktor Vladimirovich, Nemytskii V. V., Stepanov V. V.
Название: Qualitative Theory of Differential Equations
ISBN: 0691625948 ISBN-13(EAN): 9780691625942
Издательство: Wiley
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Описание: Book 22 in the Princeton Mathematical Series. Originally published in 1960. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presentin

Автор: Baleanu Dumitru, Mustafa Octavian G., Baleanu D.
Название: Asymptotic Integration and Stability: For Ordinary, Functional and Discrete Differential Equations of Fractional Order
ISBN: 981464109X ISBN-13(EAN): 9789814641098
Издательство: World Scientific Publishing
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Описание: This volume presents several important and recent contributions to the emerging field of fractional differential equations in a self-contained manner.

Автор: Ferenc Hartung; Mih?ly Pituk
Название: Recent Advances in Delay Differential and Difference Equations
ISBN: 3319378678 ISBN-13(EAN): 9783319378671
Издательство: Springer
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Описание: Delay differential and difference equations serve as models for a range of processes in biology, physics, engineering and control theory.

Автор: S.Y. Pilyugin
Название: Introduction to Structurally Stable Systems of Differential Equations
ISBN: 303489712X ISBN-13(EAN): 9783034897129
Издательство: Springer
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Описание: This book is based on a one year course of lectures on structural sta- bility of differential equations which the author has given for the past several years at the Department of Mathematics and Mechanics at the University of Leningrad.

Автор: Michael Demuth; Jan A. van Casteren
Название: Stochastic Spectral Theory for Selfadjoint Feller Operators
ISBN: 3034895771 ISBN-13(EAN): 9783034895774
Издательство: Springer
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Описание:

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. For such operators regular and singular perturbations of order zero and their spectral properties are investigated.
A complete treatment of the Feynman-Kac formula is given. The theory is applied to such topics as compactness or trace class properties of differences of Feynman-Kac semigroups, preservation of absolutely continuous and/or essential spectra and completeness of scattering systems.
The unified approach provides a new viewpoint of and a deeper insight into the subject. The book is aimed at advanced students and researchers in mathematical physics and mathematics with an interest in quantum physics, scattering theory, heat equation, operator theory, probability theory and spectral theory.

Автор: M. Demuth; B.W. Schulze; B. Gramsch
Название: Operator Calculus and Spectral Theory
ISBN: 3034897030 ISBN-13(EAN): 9783034897037
Издательство: Springer
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Описание: This volume contains the proceedings of the international conference on " Operator Calculus and Spectral Theory" in Lambrecht, Germany, Decem- ber 9. - 14., 1991, sponsored by the Deutsche Forschungsgemeinschaft, and by the Karl-Weierstrass-Institute of Mathematics, Berlin. The idea was to bring together specialists from different areas of modern analysis, geometry and mathematical physics, in a similar spirit as in the earlier series of conferences of the Karl-Weierstrass- Institute (Ludwigsfelde, 1976; Reinhardsbrunn, 1985; Holzhau, 1988; Breitenbrunn,1990). Berlin, Mainz M. Demuth B. Gramsch B. -W. Schulze List of talks given in La. brecht. 8. - 14. December 91 Name Title S. Albeverio Some recent deveiopments in Dirichlet forms and associated processes U. Bunke On the spectral flow of Dirac operators with negative definite functions as symbols - applications in probability theory and mathematical physics M. Combescure Recurrent versus diffusive behaviour for time-dependent quantum Hamiltonian E. B. Davies Analysis on graphs and noncommutative geometry M. Demuth On stochastic spectral analysis and asymptotics for Schrodinger operators P. Duclos A global approach to the location of quantum resonances v. v. Egorov On negative spectrum of elliptic operators V. EnB Non-threshold states of long-range N-body problems B. Gramsch -algebras and microlocal analysis P. B. Gilkey On the index of geometrical operators for Riemannian manifolds with boundary B. Helffer Spectral problems in statistical mechanics R. Hempe I Second order pertubations of elliptic operators with periodic principal part T. Ichinose On the Weyl quantized relativistic Hamiltonian V. V.

Автор: Nguyen-Sch?fer
Название: Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers
ISBN: 3662484951 ISBN-13(EAN): 9783662484951
Издательство: Springer
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Описание: This book comprehensively presents topics, such as Dirac notation, tensor analysis, elementary differential geometry of moving surfaces, and k-differential forms. Additionally, two new chapters of Cartan differential forms and Dirac and tensor notations in quantum mechanics are added to this second edition. The reader is provided with hands-on calculations and worked-out examples at which he will learn how to handle the bra-ket notation, tensors, differential geometry, and differential forms; and to apply them to the physical and engineering world. Many methods and applications are given in CFD, continuum mechanics, electrodynamics in special relativity, cosmology in the Minkowski four-dimensional spacetime, and relativistic and non-relativistic quantum mechanics. Tensors, differential geometry, differential forms, and Dirac notation are very useful advanced mathematical tools in many fields of modern physics and computational engineering. They are involved in special and general relativity physics, quantum mechanics, cosmology, electrodynamics, computational fluid dynamics (CFD), and continuum mechanics. The target audience of this all-in-one book primarily comprises graduate students in mathematics, physics, engineering, research scientists, and engineers.

Автор: V.M. Adamyan; Israel Gohberg; Myroslav L. Gorbachu
Название: Differential Operators and Related Topics
ISBN: 3034895526 ISBN-13(EAN): 9783034895521
Издательство: Springer
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Описание: The present book is the first of the two volume Proceedings of the Mark Krein International Conference on Operator Theory and Applications. Krein Xl About the Mark Krein International Conference .

Автор: Nagel Alexander, Stein Elias M.
Название: Lectures on Pseudo-Differential Operators: Regularity Theorems and Applications to Non-Elliptic Problems. (MN-24)
ISBN: 0691601097 ISBN-13(EAN): 9780691601090
Издательство: Wiley
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Описание: The theory of pseudo-differential operators (which originated as singular integral operators) was largely influenced by its application to function theory in one complex variable and regularity properties of solutions of elliptic partial differential equations. Given here is an exposition of some new classes of pseudo-differential operators relevan

Автор: M.A. Krasnosel`skii; G.M. Vainikko; R.P. Zabreyko;
Название: Approximate Solution of Operator Equations
ISBN: 940102717X ISBN-13(EAN): 9789401027175
Издательство: Springer
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Описание: One of the most important chapters in modern functional analysis is the theory of approximate methods for solution of various mathematical problems.

Автор: Palaniappan Kannappan
Название: Functional Equations and Inequalities with Applications
ISBN: 1489979026 ISBN-13(EAN): 9781489979025
Издательство: Springer
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Описание: Functional Equations and Inequalities with Applications presents a comprehensive, nearly encyclopedic, study of the classical topic of functional equations.