Optimal elliptic regularity: A comparison between local and nonlocal equations

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2018030 ◽

2018 ◽

Vol 11 (3) ◽

pp. 547-559 ◽

Cited By ~ 5

Author(s):

Sunra J. N. Mosconi ◽

Keyword(s):

Elliptic Regularity ◽

Nonlocal Equations

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Some remarks on $$W^{s,p}$$ interior elliptic regularity estimates

Journal of Elliptic and Parabolic Equations ◽

10.1007/s41808-021-00099-9 ◽

2021 ◽

Author(s):

A. Behzadan

Keyword(s):

Elliptic Regularity ◽

Regularity Estimates

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Asymptotic Analysis of a Coupled System of Nonlocal Equations with Oscillatory Coefficients

Multiscale Modeling and Simulation ◽

10.1137/19m1288085 ◽

2020 ◽

Vol 18 (4) ◽

pp. 1462-1488

Author(s):

James M. Scott ◽

Tadele Mengesha

Keyword(s):

Asymptotic Analysis ◽

Coupled System ◽

Nonlocal Equations

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The Maximum Principle, Elliptic Regularity, and Applications

Universitext - Nonlinear Elliptic Partial Differential Equations ◽

10.1007/978-3-319-78390-1_5 ◽

2018 ◽

pp. 111-140

Author(s):

Hervé Le Dret

Keyword(s):

Maximum Principle ◽

Elliptic Regularity ◽

The Maximum Principle

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Operator estimates and elliptic regularity

Pseudodifferential Operators and Nonlinear PDE ◽

10.1007/978-1-4612-0431-2_4 ◽

1991 ◽

pp. 46-66

Author(s):

Michael E. Taylor

Keyword(s):

Elliptic Regularity

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An elliptic regularity coefficient estimate for a problem arising from a frequency domain treatment of waves

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1994-1282886-6 ◽

1994 ◽

Vol 346 (2) ◽

pp. 475-487 ◽

Cited By ~ 8

Author(s):

Xiaobing Feng ◽

Dongwoo Sheen

Keyword(s):

Frequency Domain ◽

Coefficient Estimate ◽

Elliptic Regularity

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Optimal metric regularity in general relativity follows from the RT-equations by elliptic regularity theory in $L^p$ -spaces

Methods and Applications of Analysis ◽

10.4310/maa.2020.v27.n3.a1 ◽

2020 ◽

Vol 27 (3) ◽

pp. 199-242

Author(s):

Moritz Reintjes ◽

Blake Temple

Keyword(s):

General Relativity ◽

Metric Regularity ◽

Regularity Theory ◽

Elliptic Regularity ◽

Elliptic Regularity Theory

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On the nonlocal equations and nonlocal charges associated with the Harry Dym hierarchy

Journal of Mathematical Physics ◽

10.1063/1.1512974 ◽

2002 ◽

Vol 43 (12) ◽

pp. 6116-6128 ◽

Cited By ~ 17

Author(s):

J. C. Brunelli ◽

G. A. T. F. da Costa

Keyword(s):

Nonlocal Equations

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Asymptotic behavior of elliptic nonlocal equations set in cylinders

Asymptotic Analysis ◽

10.3233/asy-141224 ◽

2014 ◽

Vol 89 (1-2) ◽

pp. 21-35 ◽

Cited By ~ 2

Author(s):

Karen Yeressian

Keyword(s):

Asymptotic Behavior ◽

Nonlocal Equations

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A Liouville-Type Result for Non-cooperative Fisher–KPP Systems and Nonlocal Equations in Cylinders

Acta Applicandae Mathematicae ◽

10.1007/s10440-020-00327-9 ◽

2020 ◽

Vol 170 (1) ◽

pp. 123-139

Author(s):

Léo Girardin ◽

Quentin Griette

Keyword(s):

Type Result ◽

Liouville Type ◽

Nonlocal Equations

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Local Approximation of Arbitrary Functions by Solutions of Nonlocal Equations

Journal of Geometric Analysis ◽

10.1007/s12220-018-0045-z ◽

2018 ◽

Vol 29 (2) ◽

pp. 1428-1455 ◽

Cited By ~ 11

Author(s):

Serena Dipierro ◽

Ovidiu Savin ◽

Enrico Valdinoci

Keyword(s):

Local Approximation ◽

Nonlocal Equations

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