Singularities of solutions to some second-order partial differential equations which include the E.P.D. equation

DOI10.1080/00036810410001724409zbMath1064.35007OpenAlexW2061732713WikidataQ58280819 ScholiaQ58280819MaRDI QIDQ4656478

Ali Bentrad

Publication date: 11 March 2005

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810410001724409

zbMATH Keywords

Cauchy problemanalytic continuationBessel functionEuler-Poisson-Darboux equationGauss functionNeumann functioncharacteristic surfacesGauss hypergeometric equation

Mathematics Subject Classification ID

Related Items (2)

HYPERGEOMETRIC FUNCTIONS AND SINGULAR SOLUTIONS OF WAVE EQUATIONS WITH LORENTZ-INVARIANT POTENTIAL ⋮ Exact solutions for a different version of the nonhomogeneous E.P.D equation

Cites Work

• Über die Euler-Poisson-Darboux-Gleichung
• On a Cauchy problem for a generalized Euler-Poisson-Darboux equation with polyharmonic data
• A solution of the singular Cauchy problem for the nonhomogeneous Euler- Poisson-Darboux equation
• On a singular boundary value problem for the Euler-Darboux equation
• Über eine Mittelwertseigenschaft von Lösungen homogener linearer partieller Differentialgleichungen 2. Ordnung mit konstanten Koeffizienten
• The solutions of the Euler-Poisson-Darboux equation for negative values of the parameter
• On a class of partial differential equations of even order
• The iterated abstract euler-poisson-darboux problem for negative values of the parameter
• Exceptional cauchy problems and regular singular points
• Cauchy problems with characteristic initial hypersurface
• Divergent integrals and partial differential equations

This page was built for publication: Singularities of solutions to some second-order partial differential equations which include the E.P.D. equation