Work

Zero Extension for the Dirichlet Problem of the Biharmonic Equation

Year: 2025

Type: article

Abstract: In this paper we consider that extended function of solution by zero extension for the biharmonic equation of Dirichlet problem in a smaller domain is still the solution of the corresponding extension problem in a larger domain. We present a necessary and sufficient condition under the frameworks of classical solutions and strong solutions.

Source: Mathematics

DOI: 10.3390/math13111774

Authors: Shaopeng Xu, Chong Yu

Institution: Hainan University

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: National Natural Science Foundation of China