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Quasireversibility for Inhomogeneous Ill-Posed Problems
by
Beth Campbell-Hetrick
Gettysburg College
The quasireversibility method is a regularization technique used to obtain an approximate solution to an ill-posed problem. We consider the inhomogeneous ill-posed abstract Cauchy problem given by du(t)/dt = Au(t) + h(t), u(0) = c, where A is a positive self-adjoint operator on a Hilbert space H, 0 ≤ t < T, and h: [0, T) → H; and examine continuous dependence on modeling for solutions to approximate problems.
Date received: March 31, 2009
Copyright © 2009 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cayt-29.