Boundary Value Problems for Linear Evolution Partial Differential Equations: Proceedings of the NATO Advanced Study Institute held in Liège, Belgium, September 6–17, 1976

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H.G. Garnir
Springer Science & Business Media, Feb 28, 1977 - Mathematics - 473 pages
Most of the problems posed by Physics to Mathematical Analysis are boundary value problems for partial differential equations and systems. Among them, the problems concerning linear evolution equations have an outstanding position in the study of the physical world, namely in fluid dynamics, elastodynamics, electromagnetism, plasma physics and so on. This Institute was devoted to these problems. It developed essentially the new methods inspired by Functional Analysis and specially by the theories of Hilbert spaces, distributions and ultradistributions. The lectures brought a detailed exposition of the novelties in this field by world known specialists. We held the Institute at the Sart Tilman Campus of the University of Liege from September 6 to 17, 1976. It was attended by 99 participants, 79 from NATO Countries [Belgium (30), Canada (2), Denmark (I), France (15), West Germany (9), Italy (5), Turkey (3), USA (14)] and 20 from non NATO Countries [Algeria (2), Australia (3), Austria (I), Finland (1), Iran (3), Ireland (I), Japan (6), Poland (1), Sweden (I), Zair (1)]. There were 5 courses of_ 6_ h. ollI'. s~. 1. nL lJ. , h. t;l. l. I. rl"~, 1. n,L ,_ h. t;l. l. I. r. !'~ , ?_ n. f~ ?_ h,,
 

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Contents

LAPLACE TRANSFORM METHODS FOR EVOLUTION EQUATIONS
1
I
27
ULTRADISTRIBUTIONS AND HYPERBOLICITY
157
SOME ASPECTS OF THE THEORY OF LINEAR EVOLUTION EQUATIONS
175
SOME TYPICAL FREE BOUNDARY PROBLEMS
239
CRITERIA OF NYPERPOLICITY FOR CONSTANT COEFFICIENT POLYNOMIALS
313
STABILITY OF MOTION FOR SEMILINEAR EQUATIONS
319
THE APPROXIMATION OF SEMIGROUPS OF LINEAR OPERATORS AND THE FINITE ELEMENT METHOD
351
PROPAGATION OF SINGULARITIES FOR HYPERBOLIC MIXED PROBLEMS
363
SPECTRAL AND ASYMPTOTIC ANALYSIS OF ACOUSTIC WAVE PROPAGATION
385
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