Zero Extension for the Biharmonic Equation

Autor:	Shu Lin Zhou, Shao Peng Xu
Rok vydání:	2018
Předmět:	Strong solutions Applied Mathematics General Mathematics Domain (ring theory) Mathematical analysis Zero (complex analysis) Biharmonic equation Function (mathematics) Extension (predicate logic) Mathematics
Zdroj:	Acta Mathematica Sinica, English Series. 34:1549-1562
ISSN:	1439-7617 1439-8516
DOI:	10.1007/s10114-018-7328-y
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1dffc9e61ba4df8150f1f79f5e99e68d https://doi.org/10.1007/s10114-018-7328-y Zobrazit plný text záznamu Plný text ve formátu PDF