On the solutions of some classes of PDE with singular coefficients

DOI10.1080/17476933.2019.1623207zbMath1437.35520OpenAlexW2948758281WikidataQ127792233 ScholiaQ127792233MaRDI QIDQ4960393

Ali Bentrad

Publication date: 15 April 2020

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

Full work available at URL: https://doi.org/10.1080/17476933.2019.1623207

zbMATH Keywords

Cauchy problemsingular solutionssingular coefficientsAppell's function \(F_3\)

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Series solutions to PDEs (35C10) PDEs with low regular coefficients and/or low regular data (35R05) Solutions to PDEs in closed form (35C05) Euler-Poisson-Darboux equations (35Q05) Appell, Horn and Lauricella functions (33C65)

Cites Work

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• On a singular boundary value problem for an equation of hyperbolic type
• On a partial differential equation with two singular lines
• Fundamental solutions for a class of three-dimensional elliptic equations with singular coefficients
• Specialization of Appell's functions to univariate hypergeometric functions
• Solutions of type \(r^ m \)for a class of singular equations
• Singular Cauchy problem for the general Euler-Poisson-Darboux equation
• Some recursion relations for solutions of a class of equations
• Some Solutions for a Class of Singular Equations
• Singularities of hyperbolic PDEs in two complex variables
• Some Expansion Formulas for a Class of Singular Partial Differential Equations
• The Appell’s function F₃ and the solutions of a PDE with singular coefficients
• GENERALIZED SOLUTIONS OF THE DEGENERATE HYPERBOLIC EQUATION OF THE SECOND KIND WITH A SPECTRAL PARAMETER
• Exact solutions for a different version of the nonhomogeneous E.P.D equation
• The general form of the Euler--Poisson--Darboux equation and application of transmutation method
• Fundamental solutions of generalized bi-axially symmetric Helmholtz equation
• Multinomial Representation of Solutions of a Class of Singular Initial Value Problems

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