Exact solutions of a PDE with singular coefficients

DOI10.1080/17476933.2014.998409zbMath1320.35130OpenAlexW2040397165MaRDI QIDQ5264638

Mohamed Amine Kerker, Ali Bentrad

Publication date: 27 July 2015

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2014.998409

zbMATH Keywords

Cauchy problemsingular solutionshypergeometric equation

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Series solutions to PDEs (35C10) Classical hypergeometric functions, ({}_2F_1) (33C05) Solutions to PDEs in closed form (35C05) Higher logarithm functions (33B30)

Related Items (1)

The Appell’s function F₃ and the solutions of a PDE with singular coefficients

Cites Work

• Unnamed Item
• Unnamed Item
• On the solutions of the Cauchy problem for a class of partial differential equations with double characteristic at a point
• Fundamental solutions for a class of three-dimensional elliptic equations with singular coefficients
• The Cauchy problem for an axially symmetric equation and the Schwarz potential conjecture for the torus
• Asymptotic expansions and inequalities for hypergeometric function
• Exact solutions for a different version of the nonhomogeneous E.P.D equation
• HYPERGEOMETRIC FUNCTIONS AND SINGULAR SOLUTIONS OF WAVE EQUATIONS WITH LORENTZ-INVARIANT POTENTIAL
• Polynomial solutions to Cauchy problems for complex Bessel operators

This page was built for publication: Exact solutions of a PDE with singular coefficients