Electron. J. Diff. Eqns., Vol. 2002(2002), No. 58, pp. 113.
Boundaryvalue problems for the biharmonic equation with a
linear parameter
Yakov Yakubov
Abstract:
We consider two boundaryvalue problems
for the equation
with a linear parameter on a domain consisting of an infinite strip.
These problems are not elliptic boundaryvalue problems with a
parameter and therefore they are nonstandard.
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, boundaryvalue problem.
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Yakov Yakubov
Raymond and Beverly Sackler Faculty of Exact Sciences
School of Mathematical Sciences, TelAviv University
RamatAviv 69978, Israel
email: yakubov@post.tau.ac.il 
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