Integral operators for elliptic equations in three independent variables, ii

Keywords

Mathematics, Elliptic operator, Elliptic partial differential equation, Quarter period, Semi-elliptic operator

References

• Special Chapters in the Theory of Analytic Functions of Several Complex VariablesBenjamin Fuks — 1965
• New methods for solving elliptic equationsI. Vekua, David E. Brown, A. B. Tayler — 1969
• On approximation by solutions of partial differential equationsFelix E. Browder — 1962
• A survey of I. N. Vekua's theory of elliptic partial differential equations with analytic coefficientsPeter Henrici — 1957
• ON THE INVERSE SCATTERING PROBLEM FOR AXIALLY SYMMETRIC SOLUTIONS OF THE HELMHOLTZ EQUATIONDavid Colton — 1971
• Linear Partial Differential OperatorsLars Hörmander — 1963
• An Integral Operator Approach to Cauchy’s Problem for Δ _p + 2 u( x) + F( x)u( x) = 0David Colton, Robert P. Gilbert — 1971
• The Construction of Solutions for Boundary Value Problems by Function Theoretic MethodsRobert P. Gilbert — 1970
• On the Approximation of Solutions of Elliptic Partial Differential Equations in Two and Three DimensionsRobert P. Gilbert, Chi Yeung Lo — 1971
• A stability theorem for solutions of abstract differential equations, and its application to the study of the local behavior of solutions of elliptic equationsPeter D. Lax — 1956
• Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolutionBernard Malgrange — 1956
• Linear Goursat problems for entire functions when the coefficients are variableJan Persson — 1969
• Integral Operators In The Theory Of Linear Partial Differential EquationsE. T. Copson — 1962
• Integral operators for elliptic equations in three independent variablesDavid Colton — 1974
• Integral Operators in the Theory of Linear Partial Differential Equations.Alvin M. White, Stefan Bergman — 1964
• Linear Partial Differential Operators.Stephen L. Hoffman, Lars Hörmander — 1966
• Integral Operators in the Theory of Linear Partial Differential EquationsStefan Bergman — 1961
• New results on the approximation of solutions to partial differential equations: The method of particular solutionsD. Colton, R. Gilbert — 1971

Cited by

• Function theoretic methods for higher order, elliptic equations in three independent variablesRobert P. Gilbert, D. Kukral — 1973
• A Function Theoretic Method for Δ 32u + Q(x) u = 0Robert P. Gilbert, D. Kukral — 1975
• On a Bergman-Whittaker type operator in five or more variablesD. Kukral — 1973
• Some Extensions of I. N. Vekua's Method in Higher Dimensions. I. Integral representation of solutions of an elliptic system. Properties of solutionsNguyen Thua Hop — 1987
• Vekua theory for the Helmholtz operatorAndrea Moiola, Ralf Hiptmair, Ilaria Perugia — 2011
• Matrix Associate with Holomorphic Functions Taking Values in Clifford AlgebrasNguyễn Thị Huyền, Dao Viet Cuong — 2023
• Properties of solutions of linear partial differential equations given by integral operatorsJosephine Mitchell — 1976

Related papers

• New generalized Jacobi elliptic function rational expansion methodAhmad T. Ali — 2011
• A Generalization of Landen's Quadratic Transformation Formulas for Jacobi Elliptic FunctionsAvinash Khare, U. Sukhatme — 2002
• Connecting Jacobi elliptic functions with different modulus parametersAvinash Khare, U. Sukhatme — 2004
• On the Jacobi Elliptic Function Expansion MethodHongqing Zhang — 2004
• A note on the elliptic equation methodHuaitang Chen, Huicheng Yin — 2008
• On the solution of strong nonlinear oscillators by applying a rational elliptic balance methodAlex Elı́as-Zúñiga, Ciro A. Rodrı́guez, Óscar Martínez-Romero — 2010
• On a class of fully anisotropic elliptic equationsGiuseppina Barletta — 2020
• Bergman Operators for Elliptic Equations in Four Independent VariablesDavid Colton — 1972
• A Nonvariational Second Order Elliptic Operator with Singular Elliptic MeasureLuciano Modica, Stefano Mortola, Sandro Salsa — 1982