The Resource On the spectrum of the Dirichlet Laplacian and other elliptic operators, by Lotfi Hermi

On the spectrum of the Dirichlet Laplacian and other elliptic operators, by Lotfi Hermi

Label
On the spectrum of the Dirichlet Laplacian and other elliptic operators
Title
On the spectrum of the Dirichlet Laplacian and other elliptic operators
Statement of responsibility
by Lotfi Hermi
Creator
Subject
Language
eng
Summary
This work is mainly concerned with extending classical inequalities of eigenvalues of partial differential operators. Domain dependent inequalities relating different moments of the eigenvalues of the Laplacian operator to the gap between consecutive eigenvalues are derived. These are obtained by incorporating methods of analysis into a purely algebraic scheme. We use an (i.e., domain independent relations). This formulation is based on commutator analysis in combination with the Rayleigh-Ritz principle. This unified approach helps strengthen classical results for the Dirichlet eigenvalues of the Laplace-Beltrami operator on bounded domains in [Special characters omitted.] , [Special characters omitted.] , [Special characters omitted.] , or a compact homogeneous manifold. The method is also applied to strengthen known estimates for eigenvalues of a second order elliptic operator with constant coefficients, a Schrödinger operator with magnetic potential, and a Sturm-Liouville operator, with Dirichlet boundary conditions. This results in new proofs and various extensions. The inequalities are compared for strength. We simplify earlier proofs in the case of the biharmonic or higher order elliptic operators
Additional physical form
Also available on the Internet.
Cataloging source
MUU
http://library.link/vocab/creatorDate
1967-
http://library.link/vocab/creatorName
Hermi, Lotfi
Degree
Ph. D.
Dissertation year
1999.
Government publication
government publication of a state province territory dependency etc
Granting institution
University of Missouri-Columbia
Index
no index present
Literary form
non fiction
Nature of contents
  • bibliography
  • theses
http://library.link/vocab/subjectName
  • Elliptic operators
  • Dirichlet principle
  • Laplacian operator
  • Partial differential operators
Target audience
specialized
Label
On the spectrum of the Dirichlet Laplacian and other elliptic operators, by Lotfi Hermi
Instantiates
Publication
Note
  • Typescript
  • Vita
Bibliography note
Includes bibliographical references (leaves 162-169)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
49308504
Dimensions
29 cm
Dimensions
unknown
Extent
vii, 170 leaves
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote
Label
On the spectrum of the Dirichlet Laplacian and other elliptic operators, by Lotfi Hermi
Publication
Note
  • Typescript
  • Vita
Bibliography note
Includes bibliographical references (leaves 162-169)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
49308504
Dimensions
29 cm
Dimensions
unknown
Extent
vii, 170 leaves
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote

Library Locations

    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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