Zero Extension for the Biharmonic Equation
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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.
KeywordsBiharmonic zero extension
MR(2010) Subject Classification35G15 31B30
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This work was done when the second author was visiting Beijing Computational Science Research Center (CSRC). He would like to thank CSRC for the hospitality.
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