A weighted Sobolev regularity theory of the parabolic equations with measurable coefficients on conic domains in Rd

Journal of Differential Equations ◽

10.1016/j.jde.2021.05.001 ◽

2021 ◽

Vol 291 ◽

pp. 154-194

Author(s):

Kyeong-Hun Kim ◽

Kijung Lee ◽

Jinsol Seo

Keyword(s):

Parabolic Equations ◽

Regularity Theory ◽

Sobolev Regularity ◽

Measurable Coefficients

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Quantitative stochastic homogenization and regularity theory of parabolic equations

Analysis & PDE ◽

10.2140/apde.2018.11.1945 ◽

2018 ◽

Vol 11 (8) ◽

pp. 1945-2014 ◽

Author(s):

Scott Armstrong ◽

Alexandre Bordas ◽

Jean-Christophe Mourrat

Keyword(s):

Parabolic Equations ◽

Regularity Theory ◽

Stochastic Homogenization

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A necessary condition for the regularity of a boundary point for degenerating parabolic equations with measurable coefficients

Ukrainian Mathematical Journal ◽

10.1007/s11253-005-0093-y ◽

2004 ◽

Vol 56 (6) ◽

pp. 973-995 ◽

Author(s):

I. I. Skrypnik

Keyword(s):

Parabolic Equations ◽

Boundary Point ◽

Necessary Condition ◽

Measurable Coefficients

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Optimal W1,p regularity theory for parabolic equations in divergence form

Journal of Evolution Equations ◽

10.1007/s00028-007-0278-y ◽

2007 ◽

Vol 7 (3) ◽

pp. 415-428 ◽

Author(s):

Sun-Sig Byun

Keyword(s):

Parabolic Equations ◽

Regularity Theory ◽

Divergence Form

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Estimates of solutions of initial-irregular oblique derivative problems for linear parabolic equations of second order with measurable coefficients

Science in China Series A Mathematics ◽

10.1007/bf02871979 ◽

1998 ◽

Vol 41 (11) ◽

pp. 1163-1175 ◽

Author(s):

Guochun Wen ◽

Benteng Zou

Keyword(s):

Parabolic Equations ◽

Second Order ◽

Estimates Of Solutions ◽

Measurable Coefficients ◽

Linear Parabolic Equations ◽

Oblique Derivative Problems

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A Remark on the Sobolev Regularity of Classical Solutions to Uniformly Parabolic Equations

Mathematische Nachrichten ◽

10.1002/mana.19991990107 ◽

1999 ◽

Vol 199 (1) ◽

pp. 115-144 ◽

Author(s):

Albert Milani

Keyword(s):

Parabolic Equations ◽

Classical Solutions ◽

Sobolev Regularity

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Sobolev regularity for quasilinear parabolic equations with asymptotically regular nonlinearity

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106211 ◽

2020 ◽

Vol 103 ◽

pp. 106211

Author(s):

Junjie Zhang ◽

Shenzhou Zheng

Keyword(s):

Parabolic Equations ◽

Quasilinear Parabolic Equations ◽

Sobolev Regularity ◽

Asymptotically Regular ◽

Quasilinear Parabolic

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Asymptotic expansion of solutions to the Cauchy problem for doubly degenerate parabolic equations with measurable coefficients

Nonlinear Analysis ◽

10.1016/j.na.2015.09.006 ◽

2016 ◽

Vol 138 ◽

pp. 111-126 ◽

Author(s):

Roberto Gianni ◽

Anatoli Tedeev ◽

Vincenzo Vespri

Keyword(s):

Cauchy Problem ◽

Asymptotic Expansion ◽

Parabolic Equations ◽

Degenerate Parabolic Equations ◽

Measurable Coefficients ◽

The Cauchy Problem ◽

Degenerate Parabolic ◽

Asymptotic Expansion Of Solutions

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On the regularity theory of fully nonlinear parabolic equations

Bulletin of the American Mathematical Society ◽

10.1090/s0273-0979-1990-15854-9 ◽

1990 ◽

Vol 22 (1) ◽

pp. 107-115 ◽

Author(s):

Lihe Wang

Keyword(s):

Parabolic Equations ◽

Regularity Theory ◽

Nonlinear Parabolic Equations ◽

Fully Nonlinear ◽

Nonlinear Parabolic

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A necessary condition for the regularity of a boundary point for degenerating parabolic equations with measurable coefficients

Ukrainian Mathematical Journal ◽

10.1007/pl00022188 ◽

2004 ◽

Vol 56 (6) ◽

pp. 973-995

Author(s):

I. I. Skrypnik

Keyword(s):

Parabolic Equations ◽

Boundary Point ◽

Necessary Condition ◽

Measurable Coefficients

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Parabolic equations with measurable coefficients II

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.12.077 ◽

2007 ◽

Vol 334 (1) ◽

pp. 534-548 ◽

Author(s):

Doyoon Kim

Keyword(s):

Parabolic Equations ◽

Measurable Coefficients

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