Some free boundary problems recast as nonlocal parabolic equations

Nonlinear Analysis ◽

10.1016/j.na.2019.05.019 ◽

2019 ◽

Vol 189 ◽

pp. 111538 ◽

Author(s):

Héctor A. Chang-Lara ◽

Nestor Guillen ◽

Russell W. Schwab

Keyword(s):

Free Boundary ◽

Parabolic Equations ◽

Free Boundary Problems ◽

Boundary Problems ◽

Nonlocal Parabolic Equations

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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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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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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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Lagrangian coordinates in free boundary problems for parabolic equations

Emerging applications in free boundary problems ◽

10.1201/9781003072201-6 ◽

2020 ◽

pp. 64-77

Author(s):

V V Pukhnachov

Keyword(s):

Free Boundary ◽

Parabolic Equations ◽

Free Boundary Problems ◽

Lagrangian Coordinates ◽

Boundary Problems

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Free Boundary Problems for Parabolic Equations III. Dissolution of a Gas Bubble in Liquid

Indiana University Mathematics Journal ◽

10.1512/iumj.1960.9.59019 ◽

1960 ◽

Vol 9 (3) ◽

pp. 327-345 ◽

Author(s):

Avner Friedman

Keyword(s):

Free Boundary ◽

Parabolic Equations ◽

Free Boundary Problems ◽

Boundary Problems

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A class of free boundary problems to quasi-linear parabolic equations

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/bf02720496 ◽

1999 ◽

Vol 15 (2) ◽

pp. 197-205 ◽

Author(s):

Guan Zhicheng

Keyword(s):

Free Boundary ◽

Parabolic Equations ◽

Free Boundary Problems ◽

Boundary Problems ◽

Linear Parabolic Equations

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Topics in Parabolic Equations: Some Typical Free Boundary Problems

Boundary Value Problems for Linear Evolution Partial Differential Equations ◽

10.1007/978-94-010-1205-8_5 ◽

1977 ◽

pp. 239-312 ◽

Author(s):

E. Magenes

Keyword(s):

Free Boundary ◽

Parabolic Equations ◽

Free Boundary Problems ◽

Boundary Problems

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Lagrangian coordinates in free boundary problems for multidimensional parabolic equations

Elliptic and Parabolic Problems ◽

10.1142/9789812777201_0026 ◽

2002 ◽

Author(s):

Sergei I. Shmarev

Keyword(s):

Free Boundary ◽

Parabolic Equations ◽

Free Boundary Problems ◽

Lagrangian Coordinates ◽

Boundary Problems

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Convergent Difference Schemes for Degenerate Elliptic and Parabolic Equations: Hamilton--Jacobi Equations and Free Boundary Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142903435235 ◽

2006 ◽

Vol 44 (2) ◽

pp. 879-895 ◽

Author(s):

Adam M. Oberman

Keyword(s):

Free Boundary ◽

Parabolic Equations ◽

Free Boundary Problems ◽

Difference Schemes ◽

Boundary Problems ◽

Elliptic And Parabolic Equations ◽

Degenerate Elliptic ◽

Jacobi Equations

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