9783642489464 - Partial Differential Equations VIII: Overdetermined Systems Dissipative Singular Schrödinger Operator Index Theory (8 résultats)

Gr.-8°. VII, 261 Pages. Original Flexible Boards. Publishers: Springer (1996). Ex-Library-Copy. Library-Sticker on the Spine. Library-Stamp [dropped out] on Title. Inside otherwise very good Condition. No Markings in the Text! No Underlinings! No private Owner's Note! Cover with small Signs of Usage! (Encyclopaedia of Mathematical Sciences, 65).

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Paperback. Etat : Brand New. reprint edition. 265 pages. 9.20x6.10x0.60 inches. In Stock.

Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This volume of the EMS contains three articles, on linear overdetermined systems of partial differential equations, dissipative Schroedinger operators, and index theorems. Each article presents a comprehensive survey of its subject, discussing fundamental results such as the construction of compatibility operators and complexes for elliptic, parabolic and hyperbolic coercive problems, the method of functional models and the Atiyah-Singer index theorem and its generalisations. Both classical and recent results are explained in detail and illustrated by means of examples.

Etat : new. Questo è un articolo print on demand.

Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This volume of the EMS contains three articles, on linear overdetermined systems of partial differential equations, dissipative Schroedinger operators, and index theorems. Each article presents a comprehensive survey of its subject, discussing fundamental results such as the construction of compatibility operators and complexes for elliptic, parabolic and hyperbolic coercive problems, the method of functional models and the Atiyah-Singer index theorem and its generalisations. Both classical and recent results are explained in detail and illustrated by means of examples. 272 pp. Englisch.

Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. I. Linear Overdetermined Systems of Partial Differential Equations. Initial and Initial-Boundary Value Problems.- II. Spectral Analysis of a Dissipative Singular Schroedinger Operator in Terms of a Functional Model.- III. Index Theorems.- Author Index.

Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -Consider a linear partial differential operator A that maps a vector-valued function Y = (Yl,'' Ym) into a vector-valued function I = (h, , II). We assume at first that all the functions, as well as the coefficients of the differen tial operator, are defined in an open domain Jl in the n-dimensional Euclidean n space IR , and that they are smooth (infinitely differentiable). A is called an overdetermined operator if there is a non-zero differential operator A' such that the composition A' A is the zero operator (and underdetermined if there is a non-zero operator A' such that AA' = 0). If A is overdetermined, then A'I = 0 is a necessary condition for the solvability of the system Ay = I with an unknown vector-valued function y. 3 A simple example in 1R is the operator grad, which maps a scalar func tion Y into the vector-valued function (8y/8x!, 8y/8x2, 8y/8x3)' A necessary solvability condition for the system grad y = I has the form curl I = O.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 272 pp. Englisch.