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Zero Extension for the Biharmonic Equation

Zero Extension for the Biharmonic Equation
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摘要 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. 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.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2018年第10期1549-1562,共14页 数学学报(英文版)
基金 Supported by the NSFC(Grant Nos.11571020 and 11671021)
关键词 BIHARMONIC zero extension Biharmonic zero extension
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