Elastic membrane equation in bounded and unbounded domains

The small-amplitude motion of a thin elastic membrane is investigated in $n$-dimensional bounded and unbounded domains, with $n\in \mathbb{N}$. Existence and uniqueness of solutions are established. Asymptotic of solutions is proved too.

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Veröffentlicht in:Electronic journal of qualitative theory of differential equations 2002, Vol.2002 (11), p.1-21
1. Verfasser: Clark, Haroldo Rodrigues
Format: Artikel
Sprache:eng
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Zusammenfassung:The small-amplitude motion of a thin elastic membrane is investigated in $n$-dimensional bounded and unbounded domains, with $n\in \mathbb{N}$. Existence and uniqueness of solutions are established. Asymptotic of solutions is proved too.
ISSN:1417-3875
1417-3875
DOI:10.14232/ejqtde.2002.1.11