Fundamental solutions: a brief review

DOI10.7153/dea-2024-16-03MaRDI QIDQ6656926

Unnamed Author, Jagmohan Tyagi, Khusboo Agarwal

Publication date: 3 January 2025

Published in: Differential Equations and Applications (Search for Journal in Brave)

zbMATH Keywords

fundamental solutionsGauss hypergeometric function\(p\)-Laplacianfractional operatorsPucci's extremal operatoroperators of mixed typegeneralized Euler-Poisson-Darboux equationLauricella hypergeometric functionspartial differential equations on the Heisenberg groupconfluent Horn functionGrushin-type spaces

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) PDEs of mixed type (35M10) Degenerate elliptic equations (35J70) Variational methods for elliptic systems (35J50) Graded Lie (super)algebras (17B70) Inequalities involving derivatives and differential and integral operators (26D10) Euler-Poisson-Darboux equations (35Q05) Integro-differential operators (47G20) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

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