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Some Asymptotic Problems in the Theory of Partial Differential Equations (Paperback, New)
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Some Asymptotic Problems in the Theory of Partial Differential Equations (Paperback, New)
Series: Lezioni Lincee
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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 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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