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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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,A Note on the Feedback Stabilization of a Cahn–Hilliard Type System with a Singular Logarithmic Potot large variations. All these results are provided in the three-dimensional case for a regularization of the singular potential ., and allow the same conclusion for the singular logarithmic potential in the one-dimensional case.
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From Visco-Energetic to Energetic and Balanced Viscosity Solutions of Rate-Independent Systems,nergetic and Balanced Viscosity evolution. Here we aim to formalize this intermediate character of Visco-Energetic solutions by studying their singular limits as . 0 and .. We shall prove convergence to Energetic solutions in the former case, and to Balanced Viscosity solutions in the latter situation.
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Mathematical Analysis of a Parabolic-Elliptic Model for Brain Lactate Kinetics,ror estimates on the difference of the solutions to the initial reaction-diffusion system and those to the limit one, on bounded time intervals. We also study the linear stability of the unique spatially homogeneous equilibrium.
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On a Diffuse Interface Model for Tumour Growth with Non-local Interactions and Degenerate Mobilitiear potentials, which serves to confine the order parameter to its physically relevant interval. Due to the non-local nature of the equations, under additional assumptions continuous dependence on initial data can also be shown.
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,A Boundary Control Problem for the Equation and Dynamic Boundary Condition of Cahn–Hilliard Type,and dynamic boundary condition of Cahn–Hilliard type is considered. The optimal boundary control that realizes the minimal cost under a control constraint is determined, and a necessary optimality condition is obtained.
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