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Exponential instability in the Gel'fand inverse problem on the energy intervals
Exponential instability Gel'fand inverse problem energy intervals
2011/1/20
We consider the Gel’fand inverse problem and continue studies of [Mandache,2001].We show that the Mandache-type instability remains valid even in the case of Dirichletto-Neumann map given on the energ...
A QUASI-NEWTON METHOD IN INFINITE-DIMENSIONAL SPACES AND ITS APPLICATIONFOR SOLVING A PARABOLIC INVERSE PROBLEM
Quasi-Newton method parabolic differential equation inverse problems in partial differential equations linear and Q-superlinear rates of convergence
2007/12/12
A Quasi-Newton method in Infinite-dimensional Spaces (QNIS) for solving
operator equations is presented and the convergence of a sequence
generated by QNIS is also proved in the paper. Next, we sugg...