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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.
1

Existence of Resonances for the Laplacian on Waveguides

05 June 2001 (has links)
No description available.
2

Direct and inverse problems for one-dimensional p-Laplacian operators

Wang, Wei-Chuan 31 May 2010 (has links)
In this thesis, direct and inverse problems concerning nodal solutions associated with the one-dimensional p-Laplacian operators are studied. We first consider the eigenvalue problem on (0, 1), −(y0(p−1))0 + (p − 1)q(x)y(p−1) = (p − 1) £fw(x)y(p−1) (0.1) Here f(p−1) := |f|p−2f = |f|p−1 sgn f. This problem, though nonlinear and degenerate, behaves very similar to the classical Sturm-Liouville problem, which is the special case p = 2. The spectrum {£fk} of the problem coupled with linear separated boundary conditions are discrete and the eigenfunction yn corresponding to£fn has exactly n−1 zeros in (0, 1). Using a Pr¡Lufer-type substitution and properties of the generalized sine function, Sp(x), we solve the reconstruction and stablity issues of the inverse nodal problems for Dirichlet boundary conditions, as well as periodic/antiperiodic boundary conditions whenever w(x) £f 1. Corresponding Ambarzumyan problems are also solved. We also study an associated boundary value problem with a nonlinear nonhomogeneous term (p−1)w(x) f(y(x)) on the right hand side of (0.1), where w is continuously differentiable and positive, q is continuously differentiable and f is positive and Lipschitz continuous on R+, and odd on R such that f0 := lim y!0+ f(y) yp−1 , f1 := lim y!1 f(y) yp−1 . are not equal. We extend Kong¡¦s results for p = 2 to general p > 1, which states that whenever an eigenvalue _n 2 (f0, f1) or (f1, f0), there exists a nodal solution un having exactly n − 1 zeros in (0, 1), for the above nonhomogeneous equation equipped with any linear separated boundary conditions. Although it is known that there are indeed some differences, Our results show that the one-dimensional p-Laplacian operator is still very similar to the Sturm-Liouville operator, in aspects involving Pr¡Lufer substitution techniques.
3

Regularity of the obstacle problem for a fractional power of the laplace operator

Silvestre, Luis Enrique 28 August 2008 (has links)
Not available / text
4

Low bit-rate coding of images using multi-resolution feature extraction

Vincent, John M. January 1989 (has links)
No description available.
5

Localized radial solutions for nonlinear p-laplacian equation in R[superscript N]

Pudipeddi, Sridevi. Iaia, Joseph A., January 2008 (has links)
Thesis (Ph. D.)--University of North Texas, May, 2008. / Title from title page display. Includes bibliographical references.
6

Regularity of the obstacle problem for a fractional power of the laplace operator

Silvestre, Luis Enrique, Caffarelli, Luis A. January 2005 (has links) (PDF)
Thesis (Ph. D.)--University of Texas at Austin, 2005. / Supervisor: Luis Caffarelli. Vita. Includes bibliographical references.
7

Evolution of laplacian spectrum under Hamilton's Ricci flow /

Fong, Tsz Ho. January 2007 (has links)
Thesis (M.Phil.)--Hong Kong University of Science and Technology, 2007. / Includes bibliographical references (leaves 50-51). Also available in electronic version.
8

On p-Laplacian equations with deviating arguments

Cheung, Hok-man, 張學文 January 2009 (has links)
published_or_final_version / Mathematics / Master / Master of Philosophy
9

The Laplacian eigenvalues of graphs

Li, Jianxi 01 January 2010 (has links)
No description available.
10

Stability results for the first eigenvalue of the Laplacian on domains in space forms /

Ávila, Andrés I. January 1999 (has links)
Thesis (Ph. D.)--University of Missouri-Columbia, 1999. / Typescript. Vita. Includes bibliographical references (leaves 79-83). Also available on the Internet.

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