Parabolic equations with more general elliptic operators

Galerkin Finite Element Methods for Parabolic Problems - Lecture Notes in Mathematics ◽

10.1007/bfb0071794 ◽

2006 ◽

pp. 49-61

Keyword(s):

Parabolic Equations ◽

Elliptic Operators ◽

General Elliptic

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Improved Hardy inequalities for general elliptic operators

Mathematical Surveys and Monographs - Functional Inequalities: New Perspectives and New Applications ◽

10.1090/surv/187/10 ◽

2013 ◽

pp. 143-156

Author(s):

Nassif Ghoussoub ◽

Amir Moradifam

Keyword(s):

Elliptic Operators ◽

Hardy Inequalities ◽

General Elliptic

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Self-adjointness for general elliptic operators with Sobolev-type coefficients

Ordinary and Partial Differential Equations - Lecture Notes in Mathematics ◽

10.1007/bfb0074721 ◽

1985 ◽

pp. 132-141

Author(s):

Dung Xuan Nguyen

Keyword(s):

Elliptic Operators ◽

Sobolev Type ◽

General Elliptic

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Existence of solutions for a resonant problem under Landesman-Lazer type conditions involving more general elliptic operators in divergence form

Proceedings of the Institute of Mathematics and Mechanics,National Academy of Sciences of Azerbaijan ◽

10.29228/proc.63 ◽

2020 ◽

Vol 1 (1) ◽

pp. 52-65

Author(s):

Rabil Ayazoglu- Sidika S¸ ule S¸ ener · Tuba Agırman Aydın

Keyword(s):

Existence Of Solutions ◽

Divergence Form ◽

Elliptic Operators ◽

Resonant Problem ◽

General Elliptic

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Optimal Hardy inequalities for general elliptic operators with improvements

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2010.9.109 ◽

2010 ◽

Vol 9 (1) ◽

pp. 109-140 ◽

Cited By ~ 15

Author(s):

Craig Cowan ◽

Keyword(s):

Elliptic Operators ◽

Hardy Inequalities ◽

General Elliptic

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Discrete Carleman estimates for elliptic operators and uniform controllability of semi-discretized parabolic equations

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2009.11.003 ◽

2010 ◽

Vol 93 (3) ◽

pp. 240-276 ◽

Cited By ~ 19

Author(s):

Franck Boyer ◽

Florence Hubert ◽

Jérôme Le Rousseau

Keyword(s):

Parabolic Equations ◽

Elliptic Operators ◽

Carleman Estimates ◽

Uniform Controllability

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Carleman Estimate for Elliptic Operators with Coefficients with Jumps at an Interface in Arbitrary Dimension and Application to the Null Controllability of Linear Parabolic Equations

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-009-0242-9 ◽

2009 ◽

Vol 195 (3) ◽

pp. 953-990 ◽

Cited By ~ 24

Author(s):

Jérôme Le Rousseau ◽

Luc Robbiano

Keyword(s):

Parabolic Equations ◽

Arbitrary Dimension ◽

Elliptic Operators ◽

Null Controllability ◽

Carleman Estimate ◽

Linear Parabolic Equations

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EIGENFUNCTION EXPANSIONS FOR SINGULAR ELLIPTIC OPERATORS. II. THE HILBERT SPACE ARGUMENT; PARABOLIC EQUATIONS ON OPEN MANIFOLDS

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.40.6.459 ◽

1954 ◽

Vol 40 (6) ◽

pp. 459-463 ◽

Cited By ~ 1

Author(s):

F. E. Browder

Keyword(s):

Hilbert Space ◽

Parabolic Equations ◽

Elliptic Operators ◽

Eigenfunction Expansions ◽

Open Manifolds

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The approximation of parabolic equations involving fractional powers of elliptic operators

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.10.016 ◽

2017 ◽

Vol 315 ◽

pp. 32-48 ◽

Cited By ~ 11

Author(s):

Andrea Bonito ◽

Wenyu Lei ◽

Joseph E. Pasciak

Keyword(s):

Parabolic Equations ◽

Elliptic Operators ◽

Fractional Powers

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The Cauchy problem for parabolic equations with essentially infinite-dimensional elliptic operators

Ukrainian Mathematical Journal ◽

10.1007/bf01085964 ◽

1978 ◽

Vol 29 (6) ◽

pp. 578-581 ◽

Cited By ~ 2

Author(s):

Yu. V. Bogdanskii

Keyword(s):

Cauchy Problem ◽

Parabolic Equations ◽

Elliptic Operators ◽

Infinite Dimensional ◽

The Cauchy Problem

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Interpolation Spaces Between Domains of Elliptic Operators and Spaces of Continuous Functions with Applications to Nonlinear Parabolic Equations

Mathematische Nachrichten ◽

10.1002/mana.19851210120 ◽

1985 ◽

Vol 121 (1) ◽

pp. 295-318 ◽

Cited By ~ 40

Author(s):

Alessandra Lunardi

Keyword(s):

Parabolic Equations ◽

Nonlinear Parabolic Equations ◽

Continuous Functions ◽

Elliptic Operators ◽

Interpolation Spaces ◽

Nonlinear Parabolic ◽

Spaces Of Continuous Functions

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