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Asymptotic behavior of solutions of elliptic partial differential equations

Posted on:2004-02-15Degree:Ph.DType:Dissertation
University:Wichita State UniversityCandidate:Almefleh, HasanFull Text:PDF
GTID:1460390011468111Subject:Mathematics
Abstract/Summary:
In this work a new theorem is presented which yields the behavior at infinity of a bounded solution to a Dirichlet problem for a general linear or quasilinear second-order elliptic or parabolic partial differential equation in a direction ω in which the domain has a specific structure. This structure consists of infinitely many connected components, each of which is a “finite” cylinder perpendicular to the direction ω.
Keywords/Search Tags:Partial differential, Direction &omega
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