Non-Homogeneous Boundary Value Problems and Applications

Name: Non-Homogeneous Boundary Value Problems and Applications
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783642652196
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Volume II

Autor: Jacques Louis Lions, Enrico Magenes

Jazyk:

Vazba: Brožovaná

Vydavatel: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Dostupnost: Skladem u dodavatele

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I. In this second volume, we continue at first the study of non homogeneous boundary value problems...

Informace o knize

Autor

Jacques Louis Lions, Enrico Magenes

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2011

Stránek

244

EAN

9783642652196

ISBN

3642652190

Enbook ID

06996105

Vydavatel

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Hmotnost

406

Rozměry

238 x 154 x 13

Kompletní popis

I. In this second volume, we continue at first the study of non homogeneous boundary value problems for particular classes of evolu tion equations. 1 In Chapter 4 , we study parabolic operators by the method of Agranovitch-Vishik [lJ; this is step (i) (Introduction to Volume I, Section 4), i.e. the study of regularity. The next steps: (ii) transposition, (iii) interpolation, are similar in principle to those of Chapter 2, but involve rather considerable additional technical difficulties. In Chapter 5, we study hyperbolic operators or operators well defined in thesense of Petrowski or Schroedinger. Our regularity results (step (i)) seem to be new. Steps (ii) and (iii) are all3.logous to those of the parabolic case, except for certain technical differences. In Chapter 6, the results of Chapter' 4 and 5 are applied to the study of optimal control problems for systems governed by evolution equations, when the control appears in the boundary conditions (so that non-homogeneous boundary value problems are the basic tool of this theory). Another type of application, to the characterization of "all" well-posed problems for the operators in question, is given in the Ap pendix. Still other applications, for example to numerical analysis, will be given in Volume 3.

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Non-Homogeneous Boundary Value Problems and Applications

Volume II

Informace o knize

Kompletní popis

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