On splitting up singularities of fundamental solutions to elliptic equations in \(\mathbb C^{2}\)

DOI10.2478/s11533-007-0027-zzbMath1145.35308OpenAlexW2070868902MaRDI QIDQ931576

Tatiana V. Savina

Publication date: 25 June 2008

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-007-0027-z

zbMATH Keywords

fundamental solutionelliptic equationscomplex variablesanalytic coefficientssingularities on characteristics

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Integral representations of solutions to PDEs (35C15) Analyticity in context of PDEs (35A20) Second-order elliptic equations (35J15) Other partial differential equations of complex analysis in several variables (32W50) Other operations on complex singularities (32S70)

Related Items (2)

Decomposition theorem and Riesz basis for axisymmetric potentials in the right half-plane ⋮ On non-local reflection for elliptic equations of the second order in $\mathbb{R}^{2}$ (the Dirichlet condition)

Cites Work

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• On reflection formulas for higher order elliptic equations
• Exact and asymptotic solutions of the cauchy problem
• SINGULARITIES OF SOLUTIONS TO ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS WITH ANALYTIC COEFFICIENTS
• The fundamental solution of linear elliptic differential equations with analytic coefficients
• A reflection formula for the Helmholtz equation with the Neumann condition

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