Boundary Value Problems of the Laplace Equation

Houde Han () and Dongsheng Yin ()
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Houde Han: Tsinghua University, Department of Mathematical Sciences
Dongsheng Yin: Tsinghua University, Department of Mathematical Sciences

Chapter Chapter 3 in Mathematical Foundation of the Boundary Integro-Differential Equation Method, 2026, pp 47-96 from Springer

Abstract: Abstract In this chapter, we study the boundary integro-differential equations of the boundary value problems of the Laplace equation. First, we recall some results on the boundary value problems of the Laplace equation. Then we discuss the potential theory corresponding to the Laplace equation. Finally, we reduce the boundary value problems of the Laplace equation to boundary integro-differential equations (or boundary integral equations).

Date: 2026
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DOI: 10.1007/978-981-95-1088-7_3

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