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,,

Inhalt

Laplace Transform Methods for Evolution Equations.- Hyperbolic Differential Equations and Waves.- Ultradistributions and Hyperbolicity.- Some Aspects of the theory of Linear Evolution Equations.- Topics in Parabolic Equations: Some Typical Free Boundary Problems.- Criteria of Hyperbolicity for Constant Coefficient Polynomials.- Stability of Motion for Semilinear Equations.- The Approximation of Semi-Groups of Linear Operators and the Finite Element Method.- Propagation of Singularities for Hyperbolic Mixed Problems.- Spectral and Asymptotic Analysis of Acoustic Wave Propagation.