UPPER BOUNDS ON THE SPLITTING OF THE EIGENVALUES

UPPER BOUNDS ON THE SPLITTING OF THE EIGENVALUES

We establish the upper bounds for the difference between the first two eigenvalues of the relative and absolute eigenvalue problems. Relative and absolute boundary conditions are generalization of Dirichlet and Neumann boundary conditions on functions to differential forms respectively. The domains...

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Bibliographic Details
Main Author: Ho, Phuoc L.
Format: Others
Published: UKnowledge 2010
Subjects:
gap estimate
Hodge Laplacian
Sobolev space
deRham cohomology
relative eigenvalues
Mathematics
Online Access:http://uknowledge.uky.edu/gradschool_diss/119
http://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1121&context=gradschool_diss

Internet

http://uknowledge.uky.edu/gradschool_diss/119
http://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1121&context=gradschool_diss

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