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A kind of boundary value problem for inhomogeneous partial differential system. (English) Zbl 1347.35072
Summary: In this article, we first define a kind of generalized singular integral operator and discuss its properties. Then we propose a kind of boundary value problem for an inhomogeneous partial differential system in \(\mathbb R^4\). Finally, the integral representation of the solution to a boundary value problem for the inhomogeneous partial differential system is obtained using the above singular integral operator.

35C15 Integral representations of solutions to PDEs
35G15 Boundary value problems for linear higher-order PDEs
Full Text: DOI
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