Systems of partial differential operators with fundamental solutions supported by a cone

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1980-0550506-7 ◽

1980 ◽

Vol 78 (2) ◽

pp. 247-247 ◽

Author(s):

Kirk E. Lancaster ◽

Bent E. Petersen

Keyword(s):

Differential Operators ◽

Fundamental Solutions ◽

Partial Differential ◽

Partial Differential Operators

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A Family of Fundamental Solutions of Elliptic Partial Differential Operators with Real Constant Coefficients

Integral Equations and Operator Theory ◽

10.1007/s00020-013-2052-6 ◽

2013 ◽

Vol 76 (1) ◽

pp. 1-23 ◽

Author(s):

Matteo Dalla Riva

Keyword(s):

Differential Operators ◽

Fundamental Solutions ◽

Real Constant ◽

Partial Differential ◽

Partial Differential Operators ◽

Constant Coefficients

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Surjectivity of partial differential operators with good fundamental solutions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.01.074 ◽

2011 ◽

Vol 379 (2) ◽

pp. 719-723 ◽

Author(s):

Jochen Wengenroth

Keyword(s):

Differential Operators ◽

Fundamental Solutions ◽

Partial Differential ◽

Partial Differential Operators

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FUNDAMENTAL SOLUTIONS ON PARTIAL DIFFERENTIAL OPERATORS OF SECOND ORDER WITH APPLICATION TO MATRIX RICCATI EQUATIONS

Taiwanese Journal of Mathematics ◽

10.11650/tjm.17.2013.2108 ◽

2013 ◽

Vol 17 (2) ◽

pp. 379-406 ◽

Author(s):

Sheng-Ya Feng

Keyword(s):

Differential Operators ◽

Riccati Equations ◽

Fundamental Solutions ◽

Second Order ◽

Partial Differential ◽

Partial Differential Operators

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Fundamental Solutions for Some Partial Differential Operators from Fluid Dynamics and Statistical Physics

SIAM Review ◽

10.1137/050624030 ◽

2007 ◽

Vol 49 (2) ◽

pp. 303-314 ◽

Author(s):

Jorge Aarão

Keyword(s):

Fluid Dynamics ◽

Statistical Physics ◽

Differential Operators ◽

Fundamental Solutions ◽

Partial Differential ◽

Partial Differential Operators

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On Fundamental Solutions Nearly Supported in a Half-Space for Partial Differential Operators in Two Variables

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.2000.7057 ◽

2001 ◽

Vol 255 (1) ◽

pp. 21-43

Author(s):

Uwe Franken

Keyword(s):

Differential Operators ◽

Fundamental Solutions ◽

Partial Differential ◽

Partial Differential Operators

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Fundamental Solutions of Linear Partial Differential Operators

10.1007/978-3-319-20140-5 ◽

2015 ◽

Author(s):

Norbert Ortner ◽

Peter Wagner

Keyword(s):

Differential Operators ◽

Fundamental Solutions ◽

Partial Differential ◽

Partial Differential Operators ◽

Linear Partial Differential Operators

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A family of fundamental solutions of elliptic partial differential operators with quaternion constant coefficients

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2706 ◽

2012 ◽

Vol 36 (12) ◽

pp. 1569-1582 ◽

Author(s):

M. Dalla Riva ◽

J. Morais ◽

P. Musolino

Keyword(s):

Differential Operators ◽

Fundamental Solutions ◽

Partial Differential ◽

Partial Differential Operators ◽

Constant Coefficients

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Continuous linear right inverses for partial differential operators of order 2 and fundamental solutions in half spaces

manuscripta mathematica ◽

10.1007/bf02568318 ◽

1996 ◽

Vol 90 (1) ◽

pp. 449-464 ◽

Author(s):

Reinhold Meise ◽

B. Alan Taylor ◽

Dietmar Vogt

Keyword(s):

Differential Operators ◽

Fundamental Solutions ◽

Continuous Linear ◽

Partial Differential ◽

Partial Differential Operators

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Holomorphic extension of fundamental solutions of elliptic linear partial differential operators of the second order with analytic coefficients

Comptes Rendus Mathematique ◽

10.1016/j.crma.2009.01.022 ◽

2009 ◽

Vol 347 (5-6) ◽

pp. 267-270 ◽

Author(s):

Serge Lukasiewicz

Keyword(s):

Differential Operators ◽

Holomorphic Extension ◽

Fundamental Solutions ◽

Second Order ◽

Partial Differential ◽

Partial Differential Operators ◽

Linear Partial Differential Operators

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Holomorphic extension of fundamental solutions of elliptic linear partial differential operators of higher order with analytic coefficients

Bulletin des Sciences Mathématiques ◽

10.1016/j.bulsci.2014.09.004 ◽

2015 ◽

Vol 139 (3) ◽

pp. 337-356

Author(s):

Serge Lukasiewicz

Keyword(s):

Differential Operators ◽

Holomorphic Extension ◽

Fundamental Solutions ◽

Higher Order ◽

Partial Differential ◽

Partial Differential Operators ◽

Linear Partial Differential Operators

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