Yakov Yakubov
Abstract:
We consider two boundary-value problems
for the equation
with a linear parameter on a domain consisting of an infinite strip.
These problems are not elliptic boundary-value problems with a
parameter and therefore they are non-standard.
We show that they are uniquely solvable in the
corresponding Sobolev spaces and prove that their
generalized resolvent decreases as
at infinity in
and
.
Submitted April 25, 2002. Published June 18, 2002
Math Subject Classifications: 35J40
Key Words: Biharmonic equation, isomorphism, boundary-value problem.
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Yakov Yakubov Raymond and Beverly Sackler Faculty of Exact Sciences School of Mathematical Sciences, Tel-Aviv University Ramat-Aviv 69978, Israel e-mail: yakubov@post.tau.ac.il |
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