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A Stability Technique for Evolution Partial Differential Equations: A Dynamical Systems Approach - Couverture souple
Synopsis
This book introduces a new, state-of-the-art method for the study of asymptotic behavior of solutions for evolution equations. The underlying theory hinges on a new stability result, which is presented in detail; also included is a review of basic techniques---many original to the authors---for the solution of nonlinear diffusion equations. Subsequent chapters feature a self-contained analysis of specific equations whose solutions depend on the stability theorem; a variety of estimation techniques for solutions of semi- and quasilinear parabolic equations are provided as well.
With its carefully-constructed theorems, proofs, and references, the text is appropriate for students and researchers in physics and mathematics who have basic knowledge of PDEs and some prior acquaintance with evolution equations. Written by established mathematicians at the forefront of their field, this blend of delicate analysis and broad application is ideal for a course or seminar in asymptotic analysis and nonlinear partial differential equations.
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A Stability Technique for Evolution Partial Differential Equations
Edité par
Birkhäuser Boston, 2012
ISBN 10 : 146127396X
ISBN 13 : 9781461273967
Neuf
Couverture souple
Vendeur : moluna, Greven, Allemagne
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Introduces a state-of-the-art method for the study of the asymptotic behavior of solutions to evolution partial differential equationsWritten by established mathematicians at the forefront of their field, this blend of delicate analysis and broad . N° de réf. du vendeur 4190017
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A Stability Technique for Evolution Partial Differential Equations
Edité par
Birkhäuser Boston Feb 2012, 2012
ISBN 10 : 146127396X
ISBN 13 : 9781461273967
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -\* Introduces a state-of-the-art method for the study of the asymptotic behavior of solutions to evolution partial differential equations.\* Written by established mathematicians at the forefront of their field, this blend of delicate analysis and broad application is ideal for a course or seminar in asymptotic analysis and nonlinear PDEs.\* Well-organized text with detailed index and bibliography, suitable as a course text or reference volume. 400 pp. Englisch. N° de réf. du vendeur 9781461273967
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A Stability Technique for Evolution Partial Differential Equations: A Dynamical Systems Approach (Progress in Nonlinear Differential Equations and Their Applications)
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Etat : New. In. N° de réf. du vendeur ria9781461273967_new
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A Stability Technique for Evolution Partial Differential Equations: A Dynamical Systems Approach (Progress in Nonlinear Differential Equations and Their Applications)
Edité par
BirkhAuser Boston 2004-01-01, 2004
ISBN 10 : 146127396X
ISBN 13 : 9781461273967
Neuf
Paperback
Vendeur : Chiron Media, Wallingford, Royaume-Uni
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Paperback. Etat : New. N° de réf. du vendeur 6666-IUK-9781461273967
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A Stability Technique for Evolution Partial Differential Equations
Edité par
Birkhäuser Boston, Birkhäuser Boston Feb 2012, 2012
ISBN 10 : 146127396X
ISBN 13 : 9781461273967
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -common feature is that these evolution problems can be formulated as asymptoti cally small perturbations of certain dynamical systems with better-known behaviour. Now, it usually happens that the perturbation is small in a very weak sense, hence the difficulty (or impossibility) of applying more classical techniques. Though the method originated with the analysis of critical behaviour for evolu tion PDEs, in its abstract formulation it deals with a nonautonomous abstract differ ential equation (NDE) (1) Ut = A(u) + C(u, t), t > 0, where u has values in a Banach space, like an LP space, A is an autonomous (time-independent) operator and C is an asymptotically small perturbation, so that C(u(t), t) ~ ° as t ~ 00 along orbits {u(t)} of the evolution in a sense to be made precise, which in practice can be quite weak. We work in a situation in which the autonomous (limit) differential equation (ADE) Ut = A(u) (2) has a well-known asymptotic behaviour, and we want to prove that for large times the orbits of the original evolution problem converge to a certain class of limits of the autonomous equation. More precisely, we want to prove that the orbits of (NDE) are attracted by a certain limit set [2\* of (ADE), which may consist of equilibria of the autonomous equation, or it can be a more complicated object.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 400 pp. Englisch. N° de réf. du vendeur 9781461273967
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A Stability Technique for Evolution Partial Differential Equations : A Dynamical Systems Approach
Edité par
Birkhäuser Boston, Birkhäuser Boston, 2012
ISBN 10 : 146127396X
ISBN 13 : 9781461273967
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - common feature is that these evolution problems can be formulated as asymptoti cally small perturbations of certain dynamical systems with better-known behaviour. Now, it usually happens that the perturbation is small in a very weak sense, hence the difficulty (or impossibility) of applying more classical techniques. Though the method originated with the analysis of critical behaviour for evolu tion PDEs, in its abstract formulation it deals with a nonautonomous abstract differ ential equation (NDE) (1) Ut = A(u) + C(u, t), t > 0, where u has values in a Banach space, like an LP space, A is an autonomous (time-independent) operator and C is an asymptotically small perturbation, so that C(u(t), t) ~ ° as t ~ 00 along orbits {u(t)} of the evolution in a sense to be made precise, which in practice can be quite weak. We work in a situation in which the autonomous (limit) differential equation (ADE) Ut = A(u) (2) has a well-known asymptotic behaviour, and we want to prove that for large times the orbits of the original evolution problem converge to a certain class of limits of the autonomous equation. More precisely, we want to prove that the orbits of (NDE) are attracted by a certain limit set [2\* of (ADE), which may consist of equilibria of the autonomous equation, or it can be a more complicated object. N° de réf. du vendeur 9781461273967
Quantité disponible : 1 disponible(s)
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Stability Technique for Evolution Partial Differential Equations : A Dynamical Systems Approach
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
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Etat : New. N° de réf. du vendeur 18676524-n
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A Stability Technique for Evolution Partial Differential Equations: A Dynamical Systems Approach
Edité par
Springer-Verlag New York Inc., 2012
ISBN 10 : 146127396X
ISBN 13 : 9781461273967
Neuf
Paperback / softback
Vendeur : THE SAINT BOOKSTORE, Southport, Royaume-Uni
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Paperback / softback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 589. N° de réf. du vendeur C9781461273967
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A Stability Technique for Evolution Partial Differential Equations: A Dynamical Systems Approach
Vendeur : Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irlande
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Etat : New. 2012. Paperback. . . . . . N° de réf. du vendeur V9781461273967
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A Stability Technique for Evolution Partial Differential Equations
Vendeur : Books Puddle, New York, NY, Etats-Unis
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Etat : New. pp. 400. N° de réf. du vendeur 2648034611
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