The Eigenvalue Problems for the Laplacian on Compact Embedded Surfaces and Three Dimensional Bounded Domains

スポンサーリンク

概要

• 論文の詳細を見る

• In this paper, we show new formulas on finite element method (FEM) and three dimensional FEM. By making use of them, we give several computer visions for the eigenvalue problems of the Laplacian for bounded domains and embedded compact surfaces in the three dimensional Euclidean space. As its applications, we can examine several examples to Yau’s problem on the eigenvalues between embedded surfaces and their enclosed three dimensional bounded domains.

• 東北大学の論文

著者

• Urakawa Hajime

  Div. Of Mathematics Graduate School Of Information Sciences Tohoku Univ.

• JUMONJI Masaki

  Division of Mathematics, Graduate School of Information Sciences, Tohoku University

• URAKAWA Hajime

  Division of Mathematics, Graduate School of Information Sciences, Tohoku University

• Jumonji Masaki

  Division Of Mathematics Graduate School Of Information Sciences Tohoku University

• Urakawa Hajime

  Division Of Mathematics Graduate School Of Information Sciences Tohoku University

関連論文

• The Eigenvalue Problems for the Laplacian on Compact Embedded Surfaces and Three Dimensional Bounded Domains
• Open Problems in Affine Differential Geometry and Related Topics
• Affine weyl groups and the boundary value eigenvalue problems of the laplacian

スポンサーリンク