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Non-Homogeneous Boundary Value Problems and Applications - Volume II (Paperback, Softcover reprint of the original 1st ed. 1972)
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Non-Homogeneous Boundary Value Problems and Applications - Volume II (Paperback, Softcover reprint of the original 1st ed. 1972)
Series: Grundlehren der mathematischen Wissenschaften, 182
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Total price: R3,475
Discovery Miles: 34 750
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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.
General
Imprint: |
Springer-Verlag
|
Country of origin: |
Germany |
Series: |
Grundlehren der mathematischen Wissenschaften, 182 |
Release date: |
November 2011 |
First published: |
1972 |
Authors: |
Jacques-Louis Lions
|
Translators: |
P Kenneth
|
Authors: |
Enrico Magenes
|
Dimensions: |
235 x 155 x 13mm (L x W x T) |
Format: |
Paperback
|
Pages: |
244 |
Edition: |
Softcover reprint of the original 1st ed. 1972 |
ISBN-13: |
978-3-642-65219-6 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Numerical analysis
|
LSN: |
3-642-65219-0 |
Barcode: |
9783642652196 |
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