Beth M. Campbell Hetrick
Abstract:
In a Hilbert space
,
the inhomogeneous ill-posed
abstract Cauchy problem is given by
,
,
;
where
is a positive self-adjoint linear
operator acting on
,
,
and
.
Using semigroup theory,
we obtain Holder continuous dependence for the control
problem generated by the method of quasireversibility.
Published September 25, 2010.
Math Subject Classifications: 47A52, 35R25, 35A35.
Key Words: Quasireversibility; ill-posed problems.
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Beth M. Campbell Hetrick Department of Mathematics, Gettysburg College Gettysburg, PA 17325, USA email: bcampbel@gettysburg.edu |
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