A product formula approach to a nonhomogeneous boundary optimal control problem governed by nonlinear phase-field transition system. I: A phase-field model
From MaRDI portal
Publication:630015
DOI10.1007/s10957-010-9742-xzbMath1211.49003OpenAlexW3179660393MaRDI QIDQ630015
Costică Moroşanu, Tommaso Benincasa, Angelo Favini
Publication date: 10 March 2011
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-010-9742-x
Regularity of solutions in optimal control (49N60) Existence theories for optimal control problems involving partial differential equations (49J20) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items
Well-posedness for a phase-field transition system endowed with a polynomial nonlinearity and a general class of nonlinear dynamic boundary conditions, Game control problem for a phase field equation, Analysis of an iterative scheme of fractional steps type associated to the nonlinear phase-field equation with non-homogeneous dynamic boundary conditions, Stability and errors analysis of two iterative schemes of fractional steps type associated to a nonlinear reaction-diffusion equation, The phase-field transition system with non-homogeneous Cauchy-Stefan-Boltzmann and homogeneous Neumann boundary conditions and non-constant thermal conductivity, A qualitative analysis of a second-order anisotropic phase-field transition system endowed with a general class of nonlinear dynamic boundary conditions, On the existence, uniqueness and regularity of solutions to the phase-field system with a general regular potential and a general class of nonlinear and non-homogeneous boundary conditions, Existence of Global-in-Time Weak Solutions for a Solidification Model with Convection in the Liquid and Rigid Motion in the Solid, Optimal control and controllability of a phase field system with one control force, On the existence, uniqueness and regularity of solutions to the phase-field transition system with non-homogeneous Cauchy-Neumann and nonlinear dynamic boundary conditions, Analysis of an iterative scheme of fractional steps type associated to the reaction-diffusion equation endowed with a general nonlinearity and Cauchy-Neumann boundary conditions
Cites Work
