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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
11

On the spectrum of the Dirichlet Laplacian and other elliptic operators

Hermi, Lotfi, January 1999 (has links)
Thesis (Ph. D.)--University of Missouri-Columbia, 1999. / Typescript. Vita. Includes bibliographical references (leaves 162-169). Also available on the Internet.
12

Stability Analysis of Capillary Surfaces with Planar or Spherical Boundary in the Absence of Gravity

Marinov, Petko I. January 2010 (has links)
No description available.
13

L2-Indices for Perturbed Dirac Operators on Odd Dimensional Open Complete Manifolds

Gajdzinski, Cezary 24 October 2005 (has links)
For perturbations of the Callias and Anghel type the L2-index of the perturbed Dirac operator on a Spin c -manifold is realized as the result of pairing an element in K -homology with an element of compactly supported K -cohomology. This is achieved by putting the problem of calculating the Fredholm index of the perturbed Dirac operator in the framework of KK-theory and using the identification of K-groups with KK-groups. The formula for the Fredholm index is given in terms of topological data of the Spin c-manifold and the structure of the perturbation. / Ph. D.
14

Elliptic operators in even subspaces

Savin, Anton, Sternin, Boris January 1999 (has links)
An elliptic theory is constructed for operators acting in subspaces defined via even pseudodifferential projections. Index formulas are obtained for operators on compact manifolds without boundary and for general boundary value problems. A connection with Gilkey's theory of η-invariants is established.
15

Elliptic operators in odd subspaces

Savin, Anton, Sternin, Boris January 1999 (has links)
An elliptic theory is constructed for operators acting in subspaces defined via even pseudodifferential projections. Index formulas are obtained for operators on compact manifolds without boundary and for general boundary value problems. A connection with Gilkey's theory of η-invariants is established.
16

Elliptic operators in subspaces and the eta invariant

Schulze, Bert-Wolfgang, Savin, Anton, Sternin, Boris January 1999 (has links)
The paper deals with the calculation of the fractional part of the η-invariant for elliptic self-adjoint operators in topological terms. The method used to obtain the corresponding formula is based on the index theorem for elliptic operators in subspaces obtained in [1], [2]. It also utilizes K-theory with coefficients Zsub(n). In particular, it is shown that the group K(T*M,Zsub(n)) is realized by elliptic operators (symbols) acting in appropriate subspaces.
17

Surgery and the relative index in elliptic theory

Nazaikinskii, Vladimir E., Sternin, Boris Yu. January 1999 (has links)
We prove a general theorem on the local property of the relative index for a wide class of Fredholm operators, including relative index theorems for elliptic operators due to Gromov-Lawson, Anghel, Teleman, Booß-Bavnbek-Wojciechowski, et al. as special cases. In conjunction with additional conditions (like symmetry conditions) this theorem permits one to compute the analytical index of a given operator. In particular, we obtain new index formulas for elliptic pseudodifferential operators and quantized canonical transformations on manifolds with conical singularities as well as for elliptic boundary value problems with a symmetry condition for the conormal symbol.
18

On the homotopy classification of elliptic operators on manifolds with singularities

Schulze, Bert-Wolfgang, Nazaikinskii, Vladimir E., Sternin, Boris Yu. January 1999 (has links)
We study the homotopy classification of elliptic operators on manifolds with singularities and establish necessary and sufficient conditions under which the classification splits into terms corresponding to the principal symbol and the conormal symbol.
19

Elliptic operators in subspaces

Savin, Anton, Schulze, Bert-Wolfgang, Sternin, Boris January 2000 (has links)
We construct elliptic theory in the subspaces, determined by pseudodifferential projections. The finiteness theorem as well as index formula are obtained for elliptic operators acting in the subspaces. Topological (K-theoretic) aspects of the theory are studied in detail.
20

Boundary value problems on manifolds with exits to infinity

Kapanadze, David, Schulze, Bert-Wolfgang January 2000 (has links)
We construct a new calculus of boundary value problems with the transmission property on a non-compact smooth manifold with boundary and conical exits to infinity. The symbols are classical both in covariables and variables. The operators are determined by principal symbol tuples modulo operators of lower orders and weights (such remainders are compact in weighted Sobolev spaces). We develop the concept of ellipticity, construct parametrices within the algebra and obtain the Fredholm property. For the existence of Shapiro-Lopatinskij elliptic boundary conditions to a given elliptic operator we prove an analogue of the Atiyah-Bott condition.

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