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Title:  On InitialBoundary Value Problems for the Nonlinear Schroedinger Equation and the GinzburgLandau Equation 
Author(s):  Bu, Qiyue 
Doctoral Committee Chair(s):  Carroll, R. 
Department / Program:  Mathematics 
Discipline:  Mathematics 
Degree Granting Institution:  University of Illinois at UrbanaChampaign 
Degree:  Ph.D. 
Genre:  Dissertation 
Subject(s):  Applied Mechanics
Mathematics 
Abstract:  There are five chapters in this thesis. Wellposedness of the forced nonlinear Schrodinger equation (NLS) is shown in Chapter 1. The global solution to an initialboundary value problem for the NLS is proved in Chapter 2. Global existence of the fullline problem for the GinzburgLandau equation (GL) is shown in Chapter 3. In Chapter 4, the following results concerning the halfline problem for the GinzburgLandau equation are established: (1) local existenceuniqueness; (2) small amplitude solution; (3) criteria for global existence. In Chapter 5, the weak solution to an initialboundary value problem for the GL equation is obtained via Galerkin's method. 
Issue Date:  1992 
Type:  Text 
Description:  78 p. Thesis (Ph.D.)University of Illinois at UrbanaChampaign, 1992. 
URI:  http://hdl.handle.net/2142/72530 
Other Identifier(s):  (UMI)AAI9236403 
Date Available in IDEALS:  20141217 
Date Deposited:  1992 
This item appears in the following Collection(s)

Dissertations and Theses  Mathematics

Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois