科研之友
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摘要
In this paper, we shall study the convergence rates of Tikhonov regularizations for the recovery of the growth rates in a Lotka-Volterra com-petition model with diffusion. The ill-p osed inverse problem is transformed into a nonlinear minimization system by an appropriately selected version of Tikhonov regularization. The existence of the minimizers to the minimization system is demonstrated. We shall propose a new variational source condition, which will be rigorously verified under a Holder type stability estimate. We will also derive the reasonable convergence rates under the new variational source condition.
