Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 4 of 4 for “"spectral problems"”.
-
Spectral problems on triangles and disks: Extremizers and ground states
In this dissertation we study how the energy levels of the Laplacian depend upon the shape of the domain, and identify the ground state energy level of the magnetic Laplacian on the disk. Although we consider these different questions we can find some kind of unity in the sense that we are looking …
-
The Foundations of Infinite-Dimensional Spectral Computations
Spectral computations in infinite dimensions are ubiquitous in the sciences. However, their many applications and theoretical studies depend on computations which are infamously difficult. This thesis, therefore, addresses the broad question, “What is computationally possible within the field of …
-
Spectral properties of Kähler quotients
The asymptotic behavior for the spectral measure of a Kähler manifold has been studied by many authors in the context of Kähler quantization. It is well known that the spectral measure has an asymptotic expansion, while the coefficients of this expansion are not known even for very simple examples. …
-
On the Cauchy problem for the linearized GPKdV and gauge transformations for a quadratic pencil and AKNS system
… work in the area of soliton theory studies two problems which arise when seeking analytic solutions to certain nonlinear partial differential equations. In the first one, Lax pairs associated with prolonged eigenfunctions and prolonged squared eigenfunctions (prolonged squares) are derived for a …