Integral operators and complete families of solutions for \(\Delta^ 2_{p+2}u(x) + A(r^ 2)\Delta_{p+2}u(x) + B(r^ 2)u(x) = 0\)

DOI10.1007/BF00251546zbMath0225.35018OpenAlexW2088845404MaRDI QIDQ2548716

Robert P. Gilbert, David Colton

Publication date: 1971

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00251546

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15)

Related Items

Integral representations of solutions to a class of fourth order elliptic equations in three independent variables, Integral operators and the first initial boundary value problem for pseudoparabolic equations with analytic coefficients

Cites Work

• Solutions of linear partial differential equations of the fourth order
• A stability theorem for solutions of abstract differential equations, and its application to the study of the local behavior of solutions of elliptic equations
• On the unique continuation theorem for certain second and fourth order elliptic equations
• Integral Operators in the Theory of Linear Partial Differential Equations
• Approximation by Solutions of Partial Differential Equations
• Runge's Theorem for Harmonic Functions
• A method of ascent for solving boundary value problems
• The Construction of Solutions for Boundary Value Problems by Function Theoretic Methods
• Cauchy's problem for a class of fourth order elliptic equations in two independent variables
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