Non-Homogeneous Boundary Value Problems and Applications - pr_1751077

Non-Homogeneous Boundary Value Problems and Applications

Volume II

By Jacques Louis Lions, Enrico Magenes

Paperback

$174.50

Or 4 payments of $43.62 with

delivery message Free delivery for orders over $49.99

Add to Wish List
Delivered in 10 - 14 days
Available for Click and Collect
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.

Product code: 9783642652196

ISBN 9783642652196
Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Dimensions (HxWxD in mm) H235xW155
Edition Softcover reprint of the original 1st ed. 1972
No. Of Pages 244
Series Grundlehren der mathematischen Wissenschaften
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).