C1,α regularity of solutions to parabolic Monge-Ampére equations

Panagiota Daskalopoulos; Ovidiu Savin

doi:10.1353/ajm.2012.0030

C1,α regularity of solutions to parabolic Monge-Ampére equations

American Journal of Mathematics ◽

10.1353/ajm.2012.0030 ◽

2012 ◽

Vol 134 (4) ◽

pp. 1051-1087 ◽

Cited By ~ 5

Author(s):

Panagiota Daskalopoulos ◽

Ovidiu Savin

Keyword(s):

Regularity Of Solutions ◽

Monge Ampere

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ESTIMATES FOR THE DIMENSIONS OF THE DOMAINS OF REGULARITY OF SOLUTIONS OF CERTAIN MONGE-AMPÈRE EQUATIONS

Mathematics of the USSR-Sbornik ◽

10.1070/sm1976v029n03abeh003670 ◽

1976 ◽

Vol 29 (3) ◽

pp. 319-326 ◽

Cited By ~ 2

Author(s):

N V Efimov

Keyword(s):

Regularity Of Solutions ◽

Monge Ampere

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Interior regularity of solutions to Monge-Ampère equations

Harmonic Analysis and Partial Differential Equations - Contemporary Mathematics ◽

10.1090/conm/107/1066467 ◽

1990 ◽

pp. 13-17

Author(s):

Luis A. Caffarelli

Keyword(s):

Regularity Of Solutions ◽

Interior Regularity ◽

Monge Ampere

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ON THE REGULARITY OF SOLUTIONS TO MONGE-AMPÈRE EQUATIONS ON HESSIAN MANIFOLDS

Communications in Partial Differential Equations ◽

10.1081/pde-100107825 ◽

2001 ◽

Vol 26 (11-12) ◽

pp. 2339-2351 ◽

Cited By ~ 3

Author(s):

Luis Caffarelli ◽

Jeff Viaclovsky1*

Keyword(s):

Regularity Of Solutions ◽

Monge Ampere

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Regularity of Solutions of Two-Dimensional Monge-Ampere Equations

Transactions of the American Mathematical Society ◽

10.2307/2000762 ◽

1988 ◽

Vol 307 (1) ◽

pp. 271 ◽

Cited By ~ 1

Author(s):

Friedmar Schulz ◽

Liang-Yuan Liao

Keyword(s):

Regularity Of Solutions ◽

Two Dimensional ◽

Monge Ampere

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Regularity of Solutions to the Quaternionic Monge–Ampère Equation

Journal of Geometric Analysis ◽

10.1007/s12220-020-00394-2 ◽

2020 ◽

Vol 30 (3) ◽

pp. 2852-2864

Author(s):

Sławomir Kołodziej ◽

Marcin Sroka

Keyword(s):

Regularity Of Solutions ◽

Monge Ampere

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Regularity of solutions to the Dirichlet problem for Monge-Ampere equations

Indiana University Mathematics Journal ◽

10.1512/iumj.2017.66.6190 ◽

2017 ◽

Vol 66 (6) ◽

pp. 2187-2204 ◽

Cited By ~ 1

Author(s):

Mohamad Charabati

Keyword(s):

Dirichlet Problem ◽

Regularity Of Solutions ◽

Monge Ampere

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Interior regularity of solutions to a complex Monge-Ampère equation

Arkiv för matematik ◽

10.1007/bf02384537 ◽

2002 ◽

Vol 40 (2) ◽

pp. 275-300 ◽

Cited By ~ 4

Author(s):

Björn Ivarsson

Keyword(s):

Regularity Of Solutions ◽

Interior Regularity ◽

Monge Ampere

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C 1 regularity of solutions of the Monge–Ampère equation for optimal transport in dimension two

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-009-0222-9 ◽

2009 ◽

Vol 35 (4) ◽

pp. 537-550 ◽

Cited By ~ 29

Author(s):

Alessio Figalli ◽

Grégoire Loeper

Keyword(s):

Optimal Transport ◽

Regularity Of Solutions ◽

Monge Ampere

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Sobolev regularity of solutions to the Monge Ampère equation

Regularity of Optimal Transport Maps and Applications ◽

10.1007/978-88-7642-458-8_3 ◽

2013 ◽

pp. 55-72

Author(s):

Guido De Philippis

Keyword(s):

Regularity Of Solutions ◽

Sobolev Regularity ◽

Monge Ampere

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Stability and regularity of solutions of the Monge–Ampère equation on Hermitian manifolds

Advances in Mathematics ◽

10.1016/j.aim.2019.02.004 ◽

2019 ◽

Vol 346 ◽

pp. 264-304 ◽

Cited By ~ 1

Author(s):

Sławomir Kołodziej ◽

Ngoc Cuong Nguyen

Keyword(s):

Regularity Of Solutions ◽

Hermitian Manifolds ◽

Monge Ampere

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