Lp-gradient estimates for the commutators of the Kato square roots of second-order elliptic operators on ℝn

Science China Mathematics ◽

10.1007/s11425-017-9310-0 ◽

2019 ◽

Vol 63 (3) ◽

pp. 575-594

Author(s):

Wenyu Tao ◽

Yanping Chen ◽

Yayuan Xiao ◽

Liwei Wang

Keyword(s):

Elliptic Operators ◽

Second Order ◽

Gradient Estimates ◽

Square Roots ◽

Second Order Elliptic Operators

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On $L^p$ estimates for square roots of second order elliptic operators on $\mathbb{R}^n$

Publicacions Matemàtiques ◽

10.5565/publmat_48104_08 ◽

2004 ◽

Vol 48 ◽

pp. 159-186 ◽

Author(s):

P. Auscher

Keyword(s):

Elliptic Operators ◽

Second Order ◽

Square Roots ◽

Second Order Elliptic Operators

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$L^p$ bounds for Riesz transforms and square roots associated to second order elliptic operators

Publicacions Matemàtiques ◽

10.5565/publmat_47203_12 ◽

2003 ◽

Vol 47 ◽

pp. 497-515 ◽

Author(s):

S. Hofmann ◽

J. M. Martell

Keyword(s):

Elliptic Operators ◽

Second Order ◽

Riesz Transforms ◽

Square Roots ◽

Second Order Elliptic Operators

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About the G-compactness of certain classes of second-order elliptic operators

Daghestan Electronic Mathematical Reports ◽

10.31029/demr.10.1 ◽

2018 ◽

pp. 1-12

Author(s):

Magomed Sirazhudinov ◽

Saida Dzhamaludinova

Keyword(s):

Elliptic Operators ◽

Second Order ◽

Second Order Elliptic Operators

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Some results on second-order elliptic operators with polynomially growing coefficients in L-spaces

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125209 ◽

2021 ◽

pp. 125209

Author(s):

Sallah Eddine Boutiah ◽

Loredana Caso ◽

Federica Gregorio ◽

Cristian Tacelli

Keyword(s):

Elliptic Operators ◽

Second Order ◽

Second Order Elliptic Operators

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The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients

Mathematische Annalen ◽

10.1007/s00208-014-1087-6 ◽

2014 ◽

Vol 361 (3-4) ◽

pp. 863-907 ◽

Author(s):

Steve Hofmann ◽

Carlos Kenig ◽

Svitlana Mayboroda ◽

Jill Pipher

Keyword(s):

Elliptic Operators ◽

Second Order ◽

Regularity Problem ◽

Measurable Coefficients ◽

Second Order Elliptic Operators ◽

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The asymptotic shift for the principal eigenvalue for second order elliptic operators in the presence of small obstacles

Israel Journal of Mathematics ◽

10.1007/s11856-009-0009-x ◽

2008 ◽

Vol 169 (1) ◽

pp. 181-220 ◽

Author(s):

Iddo Ben-Ari

Keyword(s):

Principal Eigenvalue ◽

Elliptic Operators ◽

Second Order ◽

Second Order Elliptic Operators

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L1andL2Properties of a Class of Singular Second Order Elliptic Operators on RNwith Measurable Coefficients

Journal of Differential Equations ◽

10.1006/jdeq.1996.0109 ◽

1996 ◽

Vol 129 (1) ◽

pp. 1-17 ◽

Author(s):

M.M.H. Pang

Keyword(s):

Elliptic Operators ◽

Second Order ◽

Measurable Coefficients ◽

Second Order Elliptic Operators

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A lower bound for the first eigenvalue of second order elliptic operators

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1968-0222495-0 ◽

1968 ◽

Vol 19 (2) ◽

pp. 292-292 ◽

Author(s):

H. Ogawa ◽

M. H. Protter

Keyword(s):

Lower Bound ◽

Elliptic Operators ◽

Second Order ◽

First Eigenvalue ◽

The First Eigenvalue ◽

Second Order Elliptic Operators

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Wave and scattering operators for second-order elliptic operators in {$R\sp{3}$}

Publications of the Research Institute for Mathematical Sciences ◽

10.2977/prims/1195194886 ◽

1968 ◽

Vol 4 (2) ◽

pp. 483-496 ◽

Author(s):

Teruo Ikebe ◽

Takao Tayoshi

Keyword(s):

Elliptic Operators ◽

Second Order ◽

Scattering Operators ◽

Second Order Elliptic Operators

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Efficient inversion of the Galerkin matrix of general second-order elliptic operators with nonsmooth coefficients

Mathematics of Computation ◽

10.1090/s0025-5718-04-01716-8 ◽

2004 ◽

Vol 74 (251) ◽

pp. 1179-1200 ◽

Author(s):

Mario Bebendorf

Keyword(s):

Elliptic Operators ◽

Second Order ◽

Nonsmooth Coefficients ◽

Second Order Elliptic Operators

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