Titlebook: Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs; In Honour of Prof. G Pierluigi Colli,Angelo Favini,Jürgen

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宴会

New Class of Doubly Nonlinear Evolution Equations Governed by Time-Dependent Subdifferentials,blish an abstract existence result of solutions. Also, we show non-uniqueness of solution, giving some examples. Moreover, we treat a quasi-variational doubly nonlinear evolution equation by applying this result extensively, and give some applications to nonlinear PDEs with gradient constraint for t

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Optimal A Priori Error Estimates of Parabolic Optimal Control Problems with a Moving Point Control,e the problem with piecewise constant functions in time and continuous piecewise linear finite elements in space. For this discretization we show optimal order of convergence with respect to the time and the space discretization parameters modulo some logarithmic terms. Error analysis for the same p

inquisitive

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expository

Weak Formulation for Singular Diffusion Equation with Dynamic Boundary Condition,ed on a reformulation method by an evolution equation including the subdifferential of a governing convex energy. Under suitable assumptions, the principal results of this study are stated in forms of Main Theorems A and B, which are respectively to verify: the adequacy of the weak formulation; the

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朦胧

起来了

From Visco-Energetic to Energetic and Balanced Viscosity Solutions of Rate-Independent Systems,o the time-continuous limit in a time-incremental scheme, akin to that for Energetic solutions, but perturbed by a ‘viscous’ correction term, as in the case of Balanced Viscosity solutions. However, for Visco-Energetic solutions this viscous correction is tuned by a . parameter .. The resulting solu