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Results of the eigenvalue problem for the plate equation

✍ Scribed by Wolfgang Hackbusch; Götz Hofmann

Publisher
Springer
Year
1980
Tongue
English
Weight
600 KB
Volume
31
Category
Article
ISSN
0044-2275

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📜 SIMILAR VOLUMES

Generic simplicity of the eigenvalues fo
Generic simplicity of the eigenvalues for a supported plate equation
✍ Marcone C. Pereira 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 288 KB

In this work, we show that the eigenvalues of the problem \[ \begin{cases}\left(\Delta^{2}+V(x)+\lambda\right) u(x)=0 & x \in \Omega \\ u(x)=\Delta u(x)=0 & x \in \partial \Omega\end{cases} \] are generically simple in the set of \(\mathcal{C}^{4}\) regular regions of \(\mathbb{R}^{n}, n \geq 2\).