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Titlebook: Inverse Problems and Related Topics; Shanghai, China, Oct Jin Cheng,Shuai Lu,Masahiro Yamamoto Conference proceedings 2020 Springer Nature

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Regularized Reconstruction of the Order in Semilinear Subdiffusion with Memorynal derivative and . and . are uniform elliptic operators of the second order with time-dependent smooth coefficients. We obtain the explicit formula reconstructing the order of the fractional derivative . for small time state measurements. The formula gives rise to a regularization algorithm for ca
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The Kurdyka–Łojasiewicz Inequality as Regularity Conditionces. In fact, we prove the equivalence of a KL inequality and various known regularity conditions (variational inequality, rate conditions, and others) that are utilized for postulating smoothness conditions to obtain convergence rates. Case examples of rate estimates for Tikhonov regularization wit
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Value Function Calculus and Applicationsality value function with respect to the change in parameters plays a significant role in the inverse problems and the optimization theory, including economics, finance, the Hamilton–Jacobi theory, the inf-sup duality and the topological design and the bi-level optimization. We develop the calculus
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