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Subjects
47-XX Operator theory
47Jxx Equations and inequalities involving nonlinear operators
47J06 Nonlinear ill-posed problems

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On an initial inverse problem in nonlinear heat equation associated with time-dependent coefficient

Tuan Nguyen Huy (2014)

Applications of Mathematics

In this paper, a nonlinear backward heat problem with time-dependent coefficient in the unbounded domain is investigated. A modified regularization method is established to solve it. New error estimates for the regularized solution are given under some assumptions on the exact solution.

On the semilocal convergence of a two-step Newton-like projection method for ill-posed equations

Ioannis K. Argyros, Santhosh George (2013)

Applicationes Mathematicae

We present new semilocal convergence conditions for a two-step Newton-like projection method of Lavrentiev regularization for solving ill-posed equations in a Hilbert space setting. The new convergence conditions are weaker than in earlier studies. Examples are presented to show that older convergence conditions are not satisfied but the new conditions are satisfied.

Currently displaying 1 – 2 of 2

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