Some Asymptotic Problems in the Theory of Partial Differential Equations - Couverture souple

Oleinik, Olga

 
9780521485371: Some Asymptotic Problems in the Theory of Partial Differential Equations

Synopsis

In 1993, Professor Oleinik was invited to give a series of lectures about her work in the area of partial differential equations. This book contains those lectures, and more.

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Présentation de l'éditeur

In 1993, Professor Oleinik was invited to give a series of lectures about her work in the area of partial differential equations. This book contains those lectures, and more. It is in two parts, the first being devoted to the study of the asymptotic behaviour at infinity of solutions of a class of non-linear second order elliptic equations in unbounded, in particular cylindrical, domains. Questions of this type occur in many areas of mathematical physics, such as in the theory of travelling waves, homogenisation, boundary layer theory, flame propagation and combustion. The second part contains the most recent results of the author's research in the theory of homogenisation of partial differential equations, and is concerned with questions about partially perforated domains and of solutions with rapidly alternating types of boundary conditions. These asymptotic problems arise naturally in applications. Many of the results here have not appeared in book form before, and this volume sheds light on the subject, raising many ideas and open problems.

Revue de presse

'Warmly recommended.' H. P. Urbach, ITW Nieuws

'... can be recommended to graduate students or anyone who wants to become familiar with PDE techniques.' Catherine Bandle, Bulletin of the London Mathematical Society

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9780521480833: Some Asymptotic Problems in the Theory of Partial Differential Equations

Edition présentée

ISBN 10 :  0521480833 ISBN 13 :  9780521480833
Editeur : Cambridge University Press, 1996
Couverture rigide