Kantorovich distance in the martingale CLT and quantitative homogenization of parabolic equations with random coefficients

Jean-Christophe Mourrat

doi:10.1007/s00440-013-0529-5

Kantorovich distance in the martingale CLT and quantitative homogenization of parabolic equations with random coefficients

Probability Theory and Related Fields ◽

10.1007/s00440-013-0529-5 ◽

2013 ◽

Vol 160 (1-2) ◽

pp. 279-314 ◽

Cited By ~ 5

Author(s):

Jean-Christophe Mourrat

Keyword(s):

Parabolic Equations ◽

Random Coefficients ◽

Quantitative Homogenization ◽

Kantorovich Distance

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Invariance Principles for Parabolic Equations with Random Coefficients

Journal of Functional Analysis ◽

10.1006/jfan.1997.3107 ◽

1997 ◽

Vol 149 (2) ◽

pp. 377-414 ◽

Cited By ~ 2

Author(s):

Donald A. Dawson ◽

Michael A. Kouritzin

Keyword(s):

Parabolic Equations ◽

Random Coefficients ◽

Invariance Principles

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Pointwise two-scale expansion for parabolic equations with random coefficients

Probability Theory and Related Fields ◽

10.1007/s00440-015-0667-z ◽

2015 ◽

Vol 166 (1-2) ◽

pp. 585-618 ◽

Cited By ~ 3

Author(s):

Yu Gu ◽

Jean-Christophe Mourrat

Keyword(s):

Parabolic Equations ◽

Random Coefficients ◽

Scale Expansion

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Analysis and implementation issues for the numerical approximation of parabolic equations with random coefficients

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.2656 ◽

2009 ◽

Vol 80 (6â€’7) ◽

pp. 979-1006 ◽

Cited By ~ 44

Author(s):

F. Nobile ◽

Raul Tempone

Keyword(s):

Parabolic Equations ◽

Numerical Approximation ◽

Random Coefficients

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Green’s functions for elliptic and parabolic equations with random coefficients II

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-04-03467-1 ◽

2004 ◽

Vol 356 (10) ◽

pp. 4085-4142 ◽

Cited By ~ 1

Author(s):

Joseph G. Conlon

Keyword(s):

Parabolic Equations ◽

Green's Functions ◽

Green’S Functions ◽

Random Coefficients ◽

Elliptic And Parabolic Equations

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RANDOM PSEUDODIFFERENTIAL OPERATORS AND THE STABILIZATION OF SOLUTIONS OF PARABOLIC EQUATIONS WITH RANDOM COEFFICIENTS

Mathematics of the USSR-Sbornik ◽

10.1070/sm1982v041n01abeh002219 ◽

1982 ◽

Vol 41 (1) ◽

pp. 33-52 ◽

Cited By ~ 1

Author(s):

P E Dedik ◽

M A Šubin

Keyword(s):

Parabolic Equations ◽

Pseudodifferential Operators ◽

Random Coefficients

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Stochastic Collocation Methods for Nonlinear Parabolic Equations with Random Coefficients

SIAM/ASA Journal on Uncertainty Quantification ◽

10.1137/130930108 ◽

2016 ◽

Vol 4 (1) ◽

pp. 475-494 ◽

Cited By ~ 11

Author(s):

David A. Barajas-Solano ◽

Daniel M. Tartakovsky

Keyword(s):

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Random Coefficients ◽

Collocation Methods ◽

Stochastic Collocation ◽

Nonlinear Parabolic ◽

Stochastic Collocation Methods

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Strong convergence to the homogenized limit of parabolic equations with random coefficients

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-2014-06005-4 ◽

2014 ◽

Vol 367 (5) ◽

pp. 3041-3093 ◽

Cited By ~ 2

Author(s):

Joseph G. Conlon ◽

Arash Fahim

Keyword(s):

Strong Convergence ◽

Parabolic Equations ◽

Random Coefficients

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Averaging and fluctuations for parabolic equations with rapidly oscillating random coefficients

Probability Theory and Related Fields ◽

10.1007/bf00319294 ◽

1988 ◽

Vol 77 (3) ◽

pp. 359-378 ◽

Cited By ~ 14

Author(s):

Hisao Watanabe

Keyword(s):

Parabolic Equations ◽

Random Coefficients

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Long-time behavior of solutions to a class of quasilinear parabolic equations with random coefficients

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/s0294-1449(97)89299-2 ◽

1998 ◽

Vol 15 (2) ◽

pp. 191-232 ◽

Cited By ~ 8

Author(s):

Igor D. Chueshov ◽

Pierre-A. Vuillermot

Keyword(s):

Parabolic Equations ◽

Random Coefficients ◽

Time Behavior ◽

Long Time Behavior ◽

Quasilinear Parabolic Equations ◽

Long Time ◽

Quasilinear Parabolic

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Averaging and fluctuation for parabolic equations with rapidly oscillating random coefficients

Stochastic Processes and their Applications ◽

10.1016/0304-4149(85)90309-6 ◽

1985 ◽

Vol 21 (1) ◽

pp. 45

Keyword(s):

Parabolic Equations ◽

Random Coefficients

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