Some Asymptotic Problems in the Theory of Partial Differential Equations
By (author) Olga Oleinik
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Some Asymptotic Problems in the Theory of Partial Differential Equations by Olga Oleinik
Book DescriptionIn 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.
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Book DetailsISBN: 9780521485371
(228mm x 152mm x 13mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 21-Mar-1996
Country of Publication: United Kingdom
Books By Author Olga Oleinik
I.G. Petrovskii: Selected Works, Hardback (February 1996)» View all books by Olga Oleinik
This text is the first volume in a set of Petrovskii's selected works. It deals with the theory of systems of partial differential equations and is central to the modern theory of such systems. The classes of elliptic, hyperbolic and parabolic systems are studied here.
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