Eighth Mississippi State - UAB Conference on Differential Equations and
Computational Simulations.
Electron. J. Diff. Eqns., Conference 19 (2010), pp. 37-44.

Title: Quasireversibility for inhomogeneous ill-posed problems
       in Hilbert spaces

Author: Beth M. Campbell Hetrick (Gettysburg College, PA, USA)
 
Abstract: 
 In a Hilbert space $\mathcal{H}$, the inhomogeneous ill-posed
 abstract Cauchy problem is given by
 $\frac{du}{dt} = Au(t) + h(t)$, $u(0) = \chi$,
 $0 \leq t < T$; where $A$ is a positive self-adjoint linear
 operator acting on $\mathcal{H}$, $\chi \in \mathcal{H}$,
 and $h: [0,T) \to \mathcal{H}$. 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.