Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Titolo: Some Asymptotic Problems in the Theory of Partial Differential Equations (Paperback)
Editore: Cambridge University Press, Cambridge
Data di pubblicazione: 1996
Lingua: Inglese
ISBN 10: 0521485371
ISBN 13: 9780521485371
Rilegatura: Paperback
Condizione: new

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Riassunto

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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'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

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