Singularities of solutions to linear, second order analytic elliptic equations in two independent variables I. The completely regular boundary

DOI10.1080/00036817108839009zbMath0225.35039OpenAlexW1972295501WikidataQ58256037 ScholiaQ58256037MaRDI QIDQ5631504

Robert F. Millar

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1080/00036817108839009

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Second-order elliptic equations (35J15) Qualitative properties of solutions to partial differential equations (35B99)

Related Items (6)

Singularities of solutions to linear, second order, analytic elliptic equations in two independent variables. II ⋮ The analytic continuation of solutions to elliptic boundary value problems in two independent variables ⋮ On the completeness of the functionse^−np(x)cosnx,e^−np(x)sinnxforn≥ 0 andp(x) a 2π periodic function ⋮ Eigenvalues and eigenfunctions of double layer potentials ⋮ On analytic continuability of the missing Cauchy datum for Helmholtz boundary problems ⋮ Condition number of matrices derived from two classes of integral equations

Cites Work

• On the reflection of harmonic functions and of solutions of the wave equation
• Reflection laws of systems of second order elliptic differential equations in two independent variables with constant coefficients
• On the electromagnetic inverse scattering problem
• On the reflection laws of second order differential equations in two independent variables
• Integral Operators in the Theory of Linear Partial Differential Equations
• The Location of Singularities of Two-Dimensional Harmonic Functions. I: Theory
• The Location of Singularities of Two-Dimensional Harmonic Functions. II: Applications
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