Optimal Control of Multiphase Free Boundary Problems for Nonlinear Parabolic Equations

Applied Mathematics & Optimization ◽

10.1007/s00245-020-09655-6 ◽

2020 ◽

Author(s):

Ugur G. Abdulla ◽

Evan Cosgrove

Keyword(s):

Optimal Control ◽

Free Boundary ◽

Parabolic Equations ◽

Free Boundary Problems ◽

Nonlinear Parabolic Equations ◽

Boundary Problems ◽

Nonlinear Parabolic

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A general class of free boundary problems for fully nonlinear parabolic equations

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/s10231-014-0413-7 ◽

2014 ◽

Vol 194 (4) ◽

pp. 1123-1134 ◽

Author(s):

Alessio Figalli ◽

Henrik Shahgholian

Keyword(s):

Free Boundary ◽

Parabolic Equations ◽

General Class ◽

Free Boundary Problems ◽

Nonlinear Parabolic Equations ◽

Boundary Problems ◽

Fully Nonlinear ◽

Nonlinear Parabolic

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Free boundary problems for nonlinear parabolic equations with nonlinear free boundary conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(79)90287-7 ◽

1979 ◽

Vol 72 (1) ◽

pp. 247-273 ◽

Author(s):

Antonio Fasano ◽

Mario Primicerio

Keyword(s):

Free Boundary ◽

Boundary Conditions ◽

Parabolic Equations ◽

Free Boundary Problems ◽

Nonlinear Parabolic Equations ◽

Boundary Problems ◽

Free Boundary Conditions ◽

Nonlinear Parabolic

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Free boundary problems for a class of nonlinear parabolic equations: An approach by the theory of subdifferential operators

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/03410001 ◽

1982 ◽

Vol 34 (1) ◽

pp. 1-13 ◽

Author(s):

Nobuyuki KENMOCHI

Keyword(s):

Free Boundary ◽

Parabolic Equations ◽

Free Boundary Problems ◽

Nonlinear Parabolic Equations ◽

Boundary Problems ◽

Nonlinear Parabolic ◽

Subdifferential Operators

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On the optimal control of the free boundary problems for the second order parabolic equations. II. Convergence of the method of finite differences

Inverse Problems and Imaging ◽

10.3934/ipi.2016025 ◽

2016 ◽

Vol 10 (4) ◽

pp. 869-898 ◽

Author(s):

Ugur G. Abdulla

Keyword(s):

Optimal Control ◽

Free Boundary ◽

Parabolic Equations ◽

Finite Differences ◽

Free Boundary Problems ◽

Second Order ◽

Boundary Problems

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On the optimal control of the free boundary problems for the second order parabolic equations. I. Well-posedness and convergence of the method of lines

Inverse Problems & Imaging ◽

10.3934/ipi.2013.7.307 ◽

2013 ◽

Vol 7 (2) ◽

pp. 307-340 ◽

Author(s):

Ugur G. Abdulla ◽

Keyword(s):

Optimal Control ◽

Free Boundary ◽

Parabolic Equations ◽

Free Boundary Problems ◽

Method Of Lines ◽

Second Order ◽

Well Posedness ◽

Boundary Problems ◽

The Method Of Lines

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Simulation and Optimal Control of Free-Boundary Problems

Numerical Treatment of Free Boundary Value Problems / Numerische Behandlung freier Randwertaufgaben - International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique ◽

10.1007/978-3-0348-6563-0_21 ◽

1982 ◽

pp. 270-286 ◽

Author(s):

Christian Saguez

Keyword(s):

Optimal Control ◽

Free Boundary ◽

Free Boundary Problems ◽

Boundary Problems

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Optimal control of free boundary problems

System Modelling and Optimization - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0043905 ◽

2006 ◽

pp. 776-788 ◽

Author(s):

C. Saguez

Keyword(s):

Optimal Control ◽

Free Boundary ◽

Free Boundary Problems ◽

Boundary Problems

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Free boundary problems for parabolic equations

Bulletin of the American Mathematical Society ◽

10.1090/s0002-9904-1970-12508-3 ◽

1970 ◽

Vol 76 (5) ◽

pp. 934-942 ◽

Author(s):

Avner Friedman

Keyword(s):

Free Boundary ◽

Parabolic Equations ◽

Free Boundary Problems ◽

Boundary Problems

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Free Boundary Problems for Parabolic Equations I. Melting of Solids

Indiana University Mathematics Journal ◽

10.1512/iumj.1959.8.58036 ◽

1959 ◽

Vol 8 (4) ◽

pp. 499-517 ◽

Author(s):

Avner Friedman

Keyword(s):

Free Boundary ◽

Parabolic Equations ◽

Free Boundary Problems ◽

Boundary Problems

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Existence of optimal control in the coefficients for problem without initial condition for strongly nonlinear parabolic equations

Matematychni Studii ◽

10.15330/ms.45.1.40-56 ◽

2015 ◽

Vol 45 (1) ◽

Author(s):

M. Bokalo ◽

A. Tsebenko

Keyword(s):

Optimal Control ◽

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Initial Condition ◽

Strongly Nonlinear ◽

Nonlinear Parabolic ◽

Existence Of Optimal Control

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