Asymptotics of Solutions of a Semilinear Elliptic Equation Satisfying Neumann Conditions on a Side Surface of a Cylindrical Domain

Autor:	T. S. Khachlaev
Rok vydání:	2005
Předmět:	Statistics and Probability Surface (mathematics) Elliptic curve Lateral surface Applied Mathematics General Mathematics Mathematical analysis Zero (complex analysis) Exponential decay Domain (mathematical analysis) Mathematics
Zdroj:	Journal of Mathematical Sciences. 127:2315-2327
ISSN:	1573-8795 1072-3374
DOI:	10.1007/s10958-005-0180-5
Popis:	A semilinear elliptic equation is considered in a cylindrical domain. The asymptotic behavior of its solutions is studied in the case of zero Neumann conditions on the lateral surface. Asymptotic expansions are constructed for fixed-sign solutions. It is shown that variable-sign solutions have exponential decay.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::50f7f02d71f2a8e19d8d4aaa350b0853 https://doi.org/10.1007/s10958-005-0180-5 Zobrazit plný text záznamu Plný text ve formátu PDF