Bergman Operators for Elliptic Equations in Four Independent Variables

David Colton · SIAM Journal on Mathematical Analysis · 1972

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Type: article
Published: 1972-08-01
Cited by: 5
References: 2
DOI: https://doi.org/10.1137/0503038
OpenAlex: https://openalex.org/W2013689478
Semantic Scholar: https://api.semanticscholar.org/CorpusID:122121239

Keywords

Mathematics, Elliptic operator, Elliptic partial differential equation, Parametrix, Mathematical analysis

References

New methods for solving elliptic equationsI. Vekua, David E. Brown, A. B. Tayler — 1969
On the Approximation of Solutions of Elliptic Partial Differential Equations in Two and Three DimensionsRobert P. Gilbert, Chi Yeung Lo — 1971
Integral operators for elliptic equations in three independent variablesDavid Colton — 1974
Linear Partial Differential OperatorsLars Hörmander — 1964
Integral Operators in the Theory of Linear Partial Differential EquationsStefan Bergman — 1961

Cited by

Constructive Methods for Solving ?42u+A?4ut+But+C?4u+Du = 0Savita Bhatnagar, Robert P. Gilbert — 1977
Integral representations of solutions to a class of fourth order elliptic equations in three independent variablesDavid Colton — 1971
On a Bergman-Whittaker type operator in five or more variablesD. Kukral — 1973
A function theoretic method forΔ42u+Q(x)u=0Robert P. Gilbert, D. Kukral — 1975
Matrix Associate with Holomorphic Functions Taking Values in Clifford AlgebrasNguyễn Thị Huyền, Dao Viet Cuong — 2023

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