Zero Extension for the Biharmonic Equation

Authors
Xu, Shao Peng Zhou, Shu Lin
Citation
Xu, Shao Peng et Zhou, Shu Lin, Zero Extension for the Biharmonic Equation, Acta mathematica Sinica. English series (Print) , 34(10), 2018, pp. 1549-1562
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
34
Issue
10
Year of publication
2018
Pages
1549 - 1562
Database
ACNP
SICI code
Abstract
In this paper we present a necessary and sufficient condition to guarantee that the extended function of the solution by zero extension for the biharmonic equation in a smaller domain is still the solution of the corresponding extension problem in a larger domain. We prove the results under the frameworks of classical solutions and strong solutions.