An Ersatz Existence Theorem for Fully Nonlinear Parabolic Equations without Convexity Assumptions

N. V. Krylov

doi:10.1137/120903762

An Ersatz Existence Theorem for Fully Nonlinear Parabolic Equations without Convexity Assumptions

SIAM Journal on Mathematical Analysis ◽

10.1137/120903762 ◽

2013 ◽

Vol 45 (6) ◽

pp. 3331-3359 ◽

Cited By ~ 2

Author(s):

N. V. Krylov

Keyword(s):

Existence Theorem ◽

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Fully Nonlinear ◽

Nonlinear Parabolic ◽

Convexity Assumptions

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On the Existence of Smooth Solutions for Fully Nonlinear Parabolic Equations with Measurable “Coefficients” without Convexity Assumptions

Communications in Partial Differential Equations ◽

10.1080/03605302.2012.756013 ◽

2013 ◽

Vol 38 (6) ◽

pp. 1038-1068 ◽

Cited By ~ 4

Author(s):

Hongjie Dong ◽

N. V. Krylov

Keyword(s):

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Smooth Solutions ◽

Fully Nonlinear ◽

Measurable Coefficients ◽

Nonlinear Parabolic ◽

Convexity Assumptions

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Local estimates for fully nonlinear parabolic equations in weighted spaces

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7259 ◽

2021 ◽

Author(s):

Mikyoung Lee ◽

Jihoon Ok

Keyword(s):

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Weighted Spaces ◽

Fully Nonlinear ◽

Nonlinear Parabolic

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The first initial-boundary value problem for fully nonlinear parabolic equations generated by functions of the eigenvalues of the Hessian

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2007.07.076 ◽

2008 ◽

Vol 339 (2) ◽

pp. 1362-1373 ◽

Cited By ~ 1

Author(s):

Changyu Ren

Keyword(s):

Boundary Value Problem ◽

Parabolic Equations ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Nonlinear Parabolic Equations ◽

Fully Nonlinear ◽

Nonlinear Parabolic ◽

Initial Boundary Value

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Sharp regularity estimates for second order fully nonlinear parabolic equations

Mathematische Annalen ◽

10.1007/s00208-016-1506-y ◽

2016 ◽

Vol 369 (3-4) ◽

pp. 1623-1648 ◽

Cited By ~ 11

Author(s):

João Vitor da Silva ◽

Eduardo V. Teixeira

Keyword(s):

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Second Order ◽

Fully Nonlinear ◽

Regularity Estimates ◽

Nonlinear Parabolic

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Dini and Schauder estimates for nonlocal fully nonlinear parabolic equations with drifts

Analysis & PDE ◽

10.2140/apde.2018.11.1487 ◽

2018 ◽

Vol 11 (6) ◽

pp. 1487-1534 ◽

Cited By ~ 3

Author(s):

Hongjie Dong ◽

Tianling Jin ◽

Hong Zhang

Keyword(s):

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Fully Nonlinear ◽

Schauder Estimates ◽

Nonlinear Parabolic

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A Priori Estimates for Fully Nonlinear Parabolic Equations

International Mathematics Research Notices ◽

10.1093/imrn/rns169 ◽

2012 ◽

Vol 2013 (17) ◽

pp. 3857-3877 ◽

Cited By ~ 6

Author(s):

Guji Tian ◽

Xu-Jia Wang

Keyword(s):

Parabolic Equations ◽

A Priori Estimates ◽

A Priori ◽

Nonlinear Parabolic Equations ◽

Fully Nonlinear ◽

Nonlinear Parabolic ◽

Priori Estimates

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An Introduction to Fully Nonlinear Parabolic Equations

Lecture Notes in Mathematics - An Introduction to the Kähler-Ricci Flow ◽

10.1007/978-3-319-00819-6_2 ◽

2013 ◽

pp. 7-88 ◽

Cited By ~ 14

Author(s):

Cyril Imbert ◽

Luis Silvestre

Keyword(s):

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Fully Nonlinear ◽

Nonlinear Parabolic

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Fully Nonlinear Parabolic Equations and the Dini Condition

Acta Mathematica Sinica English Series ◽

10.1007/s10114-002-0174-x ◽

2002 ◽

Vol 18 (3) ◽

pp. 473-480 ◽

Cited By ~ 3

Author(s):

Xiong Zou ◽

Ya Zhe Chen

Keyword(s):

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Fully Nonlinear ◽

Dini Condition ◽

Nonlinear Parabolic

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Two-phase transition problems for fully nonlinear parabolic equations of second order

Indiana University Mathematics Journal ◽

10.1512/iumj.2005.54.2623 ◽

2005 ◽

Vol 54 (6) ◽

pp. 1751-1768

Author(s):

Emmanouil Milakis

Keyword(s):

Phase Transition ◽

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Second Order ◽

Two Phase ◽

Fully Nonlinear ◽

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 ◽

Cited By ~ 4

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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