Hölder stability for a class of initial inverse nonlinear heat problem in multiple dimension

Abstract We consider an inverse heat conduction problem for the non-linear heat equation which appears in some applied subjects. The problem is severely ill-posed. Using some modified regularization method, we establish a regularized solution which gives error estimate of Holder type for all t ∈ [ 0 , T ] . Some numerical examples show that the computational effect of these methods are all satisfactory.

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