In this book, Professor Oleinik highlights her work in the area of partial differential equations. The book is divided into two parts: the first is devoted to the study of the asymptotic behavior at infinity of solutions of a class of nonlinear second order elliptic equations in unbounded and, in particular, cylindrical domains. The second contains the most recent results of the author in the theory of homogenization of partial differential equations and is concerned with questions about partially perforated domains and of solutions with rapidly alternating types of boundary conditions. Many of the results here have not appeared in book form before, and it sheds new light on the subject, raising many new ideas and open problems.
"synopsis" may belong to another edition of this title.
The author's work in the area of partial differential equations is highlighted in a collection divided into two distinctive parts. Because many of the results have not appeared in book form before, new light is accordingly shed on the subject and new ideas and problems raised.
'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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Paperback. Condition: new. 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. Seller Inventory # 9780521485371
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