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Full-Text Articles in Analysis
Eigenvalues And Approximation Numbers, Ryan Chakmak
Eigenvalues And Approximation Numbers, Ryan Chakmak
CMC Senior Theses
While the spectral theory of compact operators is known to many, knowledge regarding the relationship between eigenvalues and approximation numbers might be less known. By examining these numbers in tandem, one may develop a link between eigenvalues and l^p spaces. In this paper, we develop the background of this connection with in-depth examples.
W1,P Regularity Of Eigenfunctions For The Mixed Problem With Nonhomogeneous Neumann Data, Kohei Miyazaki
W1,P Regularity Of Eigenfunctions For The Mixed Problem With Nonhomogeneous Neumann Data, Kohei Miyazaki
Murray State Theses and Dissertations
We consider an eigenvalue problem with a mixed boundary condition, where a second-order differential operator is given in divergence form and satisfies a uniform ellipticity condition. We show that if a function u in the Sobolev space W1,pD is a weak solution to the eigenvalue problem, then u also belongs to W1,pD for some p>2. To do so, we show a reverse Hölder inequality for the gradient of u. The decomposition of the boundary is assumed to be such that we get both Poincaré and Sobolev-type inequalities up to the boundary.
Some Spectral Properties Of Hermitian Toeplitz Matrices, William Trench
Some Spectral Properties Of Hermitian Toeplitz Matrices, William Trench
William F. Trench
No abstract provided.
Numerical Solution Of The Eigenvalue Problem For Hermitian Toeplitz Matrices, William Trench
Numerical Solution Of The Eigenvalue Problem For Hermitian Toeplitz Matrices, William Trench
William F. Trench
No abstract provided.
Numerical Solution Of The Eigenvalue Problem For Symmetric Rationally Generated Toeplitz Matrices, William F. Trench
Numerical Solution Of The Eigenvalue Problem For Symmetric Rationally Generated Toeplitz Matrices, William F. Trench
William F. Trench
No abstract provided.