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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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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On algebraic characterization of coercive linear partial differential operators with constant coefficients

Annales Polonici Mathematici ◽

10.4064/ap-49-3-209-219 ◽

1989 ◽

Vol 49 (3) ◽

pp. 209-219

Author(s):

J. Tervo

Keyword(s):

Differential Operators ◽

Algebraic Characterization ◽

Partial Differential ◽

Partial Differential Operators ◽

Constant Coefficients ◽

Linear Partial Differential Operators

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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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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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Necessary and sufficient conditions for propagation of singularities for systems of linear partial differential operators with constant coefficients

Communications in Partial Differential Equations ◽

10.1080/03605308308820265 ◽

1983 ◽

Vol 8 (2) ◽

pp. 89-198 ◽

Author(s):

O. Liess

Keyword(s):

Differential Operators ◽

Sufficient Conditions ◽

Necessary And Sufficient Conditions ◽

Partial Differential ◽

Partial Differential Operators ◽

Propagation Of Singularities ◽

Constant Coefficients ◽

Linear Partial Differential Operators ◽

Necessary And Sufficient

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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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On general systems of partial differential operators with constant coefficients

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/01310094 ◽

1961 ◽

Vol 13 (1) ◽

pp. 94-103 ◽

Author(s):

Shigetake MATSUURA

Keyword(s):

Differential Operators ◽

Partial Differential ◽

Partial Differential Operators ◽

General Systems ◽

Constant Coefficients

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On weak and strong extensions of partial differential operators with constant coefficients

Arkiv för matematik ◽

10.1007/bf02589513 ◽

1958 ◽

Vol 3 (6) ◽

pp. 515-526

Author(s):

Stephan Schwarz

Keyword(s):

Differential Operators ◽

Partial Differential ◽

Partial Differential Operators ◽

Constant Coefficients

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Hörmander, L., The Analysis of Linear Partial Differential Operators. Vol. I: Distribution Theory and Fourier Analysis. IX, 391 S., 5 Abb., DM 98,–. US $ 42.30. ISBN 3-540-12104-8. Vol. II: Differential Operators with Constant Coefficients. VIII, 391 S., 7 Abb., DM 124,–. US $ 51.30. ISBN 3-540-12139-0. Berlin-Heidelberg-New York-Tokyo, Springer-Verlag 1983. (Grundlehren der mathematischen Wissenschaften 256, 257)

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.19850650307 ◽

1985 ◽

Vol 65 (3) ◽

pp. 150-150

Author(s):

G. Anger

Keyword(s):

New York ◽

Fourier Analysis ◽

Differential Operators ◽

Distribution Theory ◽

Partial Differential ◽

Partial Differential Operators ◽

Constant Coefficients ◽

Linear Partial Differential Operators

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partial differential operators with constant coefficients

Duke Mathematical Journal ◽

10.1215/s0012-7094-75-04245-3 ◽

1975 ◽

Vol 42 (3) ◽

pp. 491-494 ◽

Author(s):

R. B. Melrose

Keyword(s):

Differential Operators ◽

Partial Differential ◽

Partial Differential Operators ◽

Constant Coefficients

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