Bergman operators for elliptic equations in three independent variables

DOI10.1090/S0002-9904-1971-12796-9zbMath0218.35019OpenAlexW2062575442MaRDI QIDQ5622627

David Colton

Publication date: 1971

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1971-12796-9

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Generalized solutions to partial differential equations (35D99)

Related Items

Integral representations of solutions to a class of fourth order elliptic equations in three independent variables, Vekua theory for the Helmholtz operator, Function theoretic methods for higher order, elliptic equations in three independent variables, Near-field performance analysis of locally-conformal perfectly matched absorbers via Monte Carlo simulations, Bergman Operators for Parabolic Equations in Two Space Variables, A function theoretic method for \(\Delta^2_4u+Q(x)u=0\)

Cites Work

• Unnamed Item
• Integral Operators in the Theory of Linear Partial Differential Equations
• Integral operators for elliptic equations in three independent variables
• An Integral Operator Approach to Cauchy’s Problem for $ \Delta _{p + 2} u({\bf x}) + F({\bf x})u({\bf x}) = 0$
• On the Approximation of Solutions of Elliptic Partial Differential Equations in Two and Three Dimensions