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Beyond Partial Differential Equations: On Linear and Quasi-Linear Abstract Hyperbolic Evolution Equations (Lecture Notes in Mathematics): 1898 - Tapa blanda
Sinopsis
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.
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De la contraportada
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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Beyond Partial Differential Equations (Pb)
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Beyond Partial Differential Equations
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Beyond Partial Differential Equations
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Beyond Partial Differential Equations
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Beyond Partial Differential Equations (Pb)
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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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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Taschenbuch. Condición: 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. Nº de ref. del artículo: 9783540711285
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Beyond Partial Differential Equations : On Linear and Quasi-Linear Abstract Hyperbolic Evolution Equations
Publicado por
Springer Berlin Heidelberg, 2007
ISBN 10: 3540711287
ISBN 13: 9783540711285
Nuevo
Taschenbuch
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: 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. Nº de ref. del artículo: 9783540711285
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Beyond Partial Differential Equations: On Linear and Quasi-Linear Abstract Hyperbolic Evolution Equations (Lecture Notes in Mathematics, 1898)
Librería: Ria Christie Collections, Uxbridge, Reino Unido
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Condición: New. In. Nº de ref. del artículo: ria9783540711285_new
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Beyond Partial Differential Equations
Publicado por
Springer Berlin Heidelberg, 2007
ISBN 10: 3540711287
ISBN 13: 9783540711285
Nuevo
Tapa blanda
Librería: moluna, Greven, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: 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. Nº de ref. del artículo: 4899153
Cantidad disponible: Más de 20 disponibles