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- W3136347877 abstract "<p style='text-indent:20px;'>In this paper, we shall study the convergence rates of Tikhonov regularizations for the recovery of the growth rates in a Lotka-Volterra competition model with diffusion. The ill-posed 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 Hölder type stability estimate. We will also derive the reasonable convergence rates under the new variational source condition.</p>" @default.
- W3136347877 created "2021-03-29" @default.
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- W3136347877 date "2021-01-01" @default.
- W3136347877 modified "2023-10-13" @default.
- W3136347877 title "Convergence rates of Tikhonov regularization for recovering growth rates in a Lotka-Volterra competition model with diffusion" @default.
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- W3136347877 doi "https://doi.org/10.3934/ipi.2021023" @default.
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