Quasireversibility for inhomogeneous ill-posed problems in Hilbert spaces

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 $h: [0,T) o mathcal{H}$. Usin...

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Bibliographic Details
Main Author: Beth M. Campbell Hetrick
Format: Article
Language:English
Published: Texas State University 2010-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/19/c1/abstr.html