Beyond Partial Differential Equations (Pb)
Beyer, Horst Reinhard
ISBN 10: 3540711287 ISBN 13: 9783540711285
Editore: Springer, 2007
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Brand New Original US Edition. Customer service! Satisfaction Guaranteed. Codice articolo ASNT3-72198
Riassunto:
This book introduces the treatment of linear and nonlinear (quasi-linear) abstract evolution equations by methods from the theory of strongly continuous semigroups. The theoretical part is accessible to graduate students with basic knowledge in functional analysis, with only some examples requiring more specialized knowledge from the spectral theory of linear, self-adjoint operators in Hilbert spaces. Emphasis is placed on equations of the hyperbolic type which are less often treated in the literature.
Dalla quarta di copertina:
The present volume is self-contained and introduces to the treatment of linear and nonlinear (quasi-linear) abstract evolution equations by methods from the theory of strongly continuous semigroups. The theoretical part is accessible to graduate students with basic knowledge in functional analysis. Only some examples require more specialized knowledge from the spectral theory of linear, self-adjoint operators in Hilbert spaces. Particular stress is on equations of the hyperbolic type since considerably less often treated in the literature. Also, evolution equations from fundamental physics need to be compatible with the theory of special relativity and therefore are of hyperbolic type. Throughout, detailed applications are given to hyperbolic partial differential equations occurring in problems of current theoretical physics, in particular to Hermitian hyperbolic systems. This volume is thus also of interest to readers from theoretical physics.
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Titolo: Beyond Partial Differential Equations (Pb)
Casa editrice: Springer
Data di pubblicazione: 2007
Legatura: Brossura
Condizione: New
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Beyond Partial Differential Equations
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Beyond Partial Differential Equations
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Theory is accessible, with only some examples requiring more than basic graduate knowledge of functional analysisEmphasizes equations of the hyperbolic type, which are less often treated in the literatureAlso of interest to readers from the. Codice articolo 4899153
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Beyond Partial Differential Equations | On Linear and Quasi-Linear Abstract Hyperbolic Evolution Equations
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Taschenbuch. Condizione: Neu. Beyond Partial Differential Equations | On Linear and Quasi-Linear Abstract Hyperbolic Evolution Equations | Horst Reinhard Beyer | Taschenbuch | Lecture Notes in Mathematics | xiv | Englisch | 2007 | Springer | EAN 9783540711285 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Codice articolo 102066320
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Beyond Partial Differential Equations : On Linear and Quasi-Linear Abstract Hyperbolic Evolution Equations
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Springer, Springer Vieweg, 2007
ISBN 10: 3540711287
ISBN 13: 9783540711285
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - Semigroup Theory uses abstract methods of Operator Theory to treat initial bou- ary value problems for linear and nonlinear equations that describe the evolution of a system. Due to the generality of its methods, the class of systems that can be treated in this way exceeds by far those described by equations containing only local op- ators induced by partial derivatives, i.e., PDEs. In particular, that class includes the systems of Quantum Theory. Another important application of semigroup methods is in eld quantization. Simple examples are given by the cases of free elds in Minkowski spacetime like Klein-Gordon elds, the Dirac eld and the Maxwell eld, whose eld equations are given by systems of linear PDEs. The second quantization of such a eld replaces the eld equation by a Schrodinger equation whose Hamilton operator is given by the second quantization of a non-local function of a self-adjoint linear operator. That operator generates the semigroup given by the time-development of the solutions of the eld equation corresponding to arbitrary initial data as a function of time. Codice articolo 9783540711285
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Beyond Partial Differential Equations
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Springer, Springer Vieweg Apr 2007, 2007
ISBN 10: 3540711287
ISBN 13: 9783540711285
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Semigroup Theory uses abstract methods of Operator Theory to treat initial bou- ary value problems for linear and nonlinear equations that describe the evolution of a system. Due to the generality of its methods, the class of systems that can be treated in this way exceeds by far those described by equations containing only local op- ators induced by partial derivatives, i.e., PDEs. In particular, that class includes the systems of Quantum Theory. Another important application of semigroup methods is in eld quantization. Simple examples are given by the cases of free elds in Minkowski spacetime like Klein-Gordon elds, the Dirac eld and the Maxwell eld, whose eld equations are given by systems of linear PDEs. The second quantization of such a eld replaces the eld equation by a Schrodinger ¿ equation whose Hamilton operator is given by the second quantization of a non-local function of a self-adjoint linear operator. That operator generates the semigroup given by the time-development of the solutions of the eld equation corresponding to arbitrary initial data as a function of time.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 304 pp. Englisch. Codice articolo 9783540711285
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Beyond Partial Differential Equations
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Springer Berlin Heidelberg Apr 2007, 2007
ISBN 10: 3540711287
ISBN 13: 9783540711285
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book introduces the treatment of linear and nonlinear (quasi-linear) abstract evolution equations by methods from the theory of strongly continuous semigroups. The theoretical part is accessible to graduate students with basic knowledge in functional analysis, with only some examples requiring more specialized knowledge from the spectral theory of linear, self-adjoint operators in Hilbert spaces. Emphasis is placed on equations of the hyperbolic type which are less often treated in the literature. 304 pp. Englisch. Codice articolo 9783540711285
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