Zero Extension for the Dirichlet Problem of the Biharmonic Equation

Shaopeng Xu () and Chong Yu
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Shaopeng Xu: School of Mathematics and Statistics, Hainan University, Haikou 570228, China
Chong Yu: International Business School, Hainan University, Haikou 570228, China

Mathematics, 2025, vol. 13, issue 11, 1-11

Abstract: In this paper, we consider whether the zero extension of a solution to the Dirichlet problem for the biharmonic equation in a smaller domain remains a solution to the corresponding extended problem in a larger domain. We analyze classical and strong solutions, and present a necessary and sufficient condition under each framework, respectively.

Keywords: biharmonic; dirichlet problem; zero extension (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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