Heat Kernels of Second Order Complex Elliptic Operators and Applications

Journal of Functional Analysis ◽

10.1006/jfan.1997.3156 ◽

1998 ◽

Vol 152 (1) ◽

pp. 22-73 ◽

Author(s):

Pascal Auscher ◽

Alan McIntosh ◽

Philippe Tchamitchian

Keyword(s):

Elliptic Operators ◽

Heat Kernels ◽

Second Order ◽

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Gaussian upper bounds for heat kernels of second order complex elliptic operators with unbounded diffusion coefficients on arbitrary domains

Semigroup Forum ◽

10.1007/s00233-013-9480-0 ◽

2013 ◽

Vol 87 (2) ◽

pp. 437-466

Author(s):

Sami Mourou ◽

Mohamed Selmi

Keyword(s):

Diffusion Coefficients ◽

Upper Bounds ◽

Elliptic Operators ◽

Heat Kernels ◽

Second Order ◽

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Stability of the essential spectrum of second-order complex elliptic operators

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.1998.063 ◽

1998 ◽

Vol 1998 (500) ◽

pp. 113-126

Author(s):

Peter Stollmann ◽

El Maati Ouhabaz

Keyword(s):

Essential Spectrum ◽

Elliptic Operators ◽

Second Order ◽

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Heat Kernels and Besov Spaces Associated with Second Order Divergence Form Elliptic Operators

Journal of Fourier Analysis and Applications ◽

10.1007/s00041-019-09708-7 ◽

2020 ◽

Vol 26 (1) ◽

Author(s):

Jun Cao ◽

Alexander Grigor’yan

Keyword(s):

Besov Spaces ◽

Divergence Form ◽

Elliptic Operators ◽

Heat Kernels ◽

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ESTIMATES OF HEAT KERNELS FOR A CLASS OF SECOND-ORDER ELLIPTIC OPERATORS WITH APPLICATIONS TO SEMI-LINEAR INEQUALITIES IN EXTERIOR DOMAINS

Journal of the London Mathematical Society ◽

10.1112/s0024610703004824 ◽

2004 ◽

Vol 69 (01) ◽

pp. 107-127 ◽

Author(s):

VLADIMIR KONDRATIEV ◽

VITALI LISKEVICH ◽

ZEEV SOBOL ◽

OLEKSIY US

Keyword(s):

Elliptic Operators ◽

Heat Kernels ◽

Second Order ◽

Linear Inequalities ◽

Exterior Domains ◽

Second Order Elliptic Operators

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Second-order elliptic operators and heat kernels on Lie groups

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1991-1041043-6 ◽

1991 ◽

Vol 325 (2) ◽

pp. 683-713 ◽

Author(s):

Ola Bratteli ◽

Derek W. Robinson

Keyword(s):

Elliptic Operators ◽

Heat Kernels ◽

Second Order ◽

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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Non-convolutional second-order complex-frequency-shifted perfectly matched layers for transient elastic wave propagation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2021.113704 ◽

2021 ◽

Vol 377 ◽

pp. 113704

Author(s):

Stijn François ◽

Heedong Goh ◽

Loukas F. Kallivokas

Keyword(s):

Wave Propagation ◽

Elastic Wave ◽

Second Order ◽

Elastic Wave Propagation ◽

Complex Frequency ◽

Order Complex ◽

Perfectly Matched Layers ◽

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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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Realisations of Second-Order Linear Elliptic Operators

Springer Monographs in Mathematics - Elliptic Differential Operators and Spectral Analysis ◽

10.1007/978-3-030-02125-2_7 ◽

2018 ◽

pp. 159-202

Author(s):

David E. Edmunds ◽

W. Desmond Evans

Keyword(s):

Elliptic Operators ◽

Second Order ◽

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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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