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Some Asymptotic Problems in the Theory of Partial Differential Equations : Figures in a Landscape - Olga Oleinik

Some Asymptotic Problems in the Theory of Partial Differential Equations

Figures in a Landscape

Hardcover Published: 29th September 2007
ISBN: 9780521480833
Number Of Pages: 216

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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 new asymptotic problems arise naturally in applications. Many of the results here have not appeared in book form before, and this volume sheds new light on the subject, raising many new ideas and open problems.

Industry Reviews

'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

Asymptotic problems for non-linear elliptic equations
On the asymptotic behaviour of solutions of some non-linear elliptic equations in cylindrical domains
On the asymptotic behaviour of solutions of some non-linear elliptic equations in a neighbourhood of a conic point of the boundary
On some homogenization problems
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521480833
ISBN-10: 0521480833
Series: Figures in a Landscape
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 216
Published: 29th September 2007
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 21.59 x 13.97  x 1.6
Weight (kg): 0.42

Earn 643 Qantas Points
on this Book