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    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Non-Homogeneous Boundary Value Problems and Applications: Volume II

Non-Homogeneous Boundary Value Problems and Applications: Volume II

Kenneth, P.
Magenes, Enrico
Lions, Jacques Louis

Paperback

Series: Grundlehren Der Mathematischen Wissenschaften, Book 182

General Mathematics

ISBN10: 3642652190
ISBN13: 9783642652196
Publisher: Springer Nature
Published: Nov 12 2011
Pages: 244
Weight: 0.81
Height: 0.55 Width: 6.14 Depth: 9.21
Language: English
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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