The Cauchy problem for an axially symmetric equation and the Schwarz potential conjecture for the torus

DOI10.1006/jmaa.2000.6964zbMath0966.32023OpenAlexW2001269127WikidataQ123073943 ScholiaQ123073943MaRDI QIDQ1589703

Hong Liu

Publication date: 6 August 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/a82fded3ebbe09c0a7960df8a6b11ba7cadf231d

zbMATH Keywords

Cauchy problemsingularityholomorphic partial differential equation

Mathematics Subject Classification ID

Other partial differential equations of complex analysis in several variables (32W50)

Related Items (4)

Decomposition theorem and Riesz basis for axisymmetric potentials in the right half-plane ⋮ The Appell’s function F₃ and the solutions of a PDE with singular coefficients ⋮ Exact solutions for a different version of the nonhomogeneous E.P.D equation ⋮ Exact solutions of a PDE with singular coefficients

Cites Work

• The analytic continuation of solutions of the generalized axially symmetric Helmholtz equation
• The analytic continuation of solutions to elliptic boundary value problems in two independent variables
• Global and local goursat problems in a class of holomorphic or partially holomorphic functions
• Global existence results for linear analytic partial differential equations
• On the uniqueness of generalized axially symmetric potentials
• Modified clifford analysis
• The Cauchy Problem in ℂ N for Linear Second Order Partial Differential Equations with Data on a Quadric Surface
• On Generalized Axially Symmetric Potentials.
• Discontinuous Integrals and Generalized Potential Theory
• Generalized axially symmetric potential theory
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