Optimal control of multiphase free boundary problems for nonlinear parabolic equations

DOI10.1007/s00245-020-09655-6zbMath1470.35423arXiv1907.13467OpenAlexW3100725135WikidataQ126321042 ScholiaQ126321042MaRDI QIDQ2045130

Evan Cosgrove, Ugur G. Abdulla

Publication date: 11 August 2021

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.13467

zbMATH Keywords

weak compactnessmaximal monotone graphdiscrete optimal control problemconvergence in controlconvergence in functionalmethod of finite differencesinverse multidimensional multiphase Stefan problemquasilinear parabolic PDE with discontinuous coefficients

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Free boundary problems for PDEs (35R35) Existence theories for optimal control problems involving partial differential equations (49J20) PDEs in connection with control and optimization (35Q93)

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