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(UMI)AAI9236403 Applied Mechanics Mathematics On Initial-Boundary Value Problems for the Nonlinear Schroedinger Equation and the Ginzburg-Landau Equation text Carroll, R. Bu, Qiyue 2014-12-17T23:17:43Z 2014-12-17T23:17:43Z 10000-01-01 1992 1992 There are five chapters in this thesis. Well-posedness of the forced nonlinear Schrodinger equation (NLS) is shown in Chapter 1. The global solution to an initial-boundary value problem for the NLS is proved in Chapter 2. Global existence of the full-line problem for the Ginzburg-Landau equation (GL) is shown in Chapter 3. In Chapter 4, the following results concerning the half-line problem for the Ginzburg-Landau equation are established: (1) local existence-uniqueness; (2) small amplitude solution; (3) criteria for global existence. In Chapter 5, the weak solution to an initial-boundary value problem for the GL equation is obtained via Galerkin's method. Made available in DSpace on 2014-12-17T23:17:43Z (GMT). No. of bitstreams: 1 9236403.pdf: 2095142 bytes, checksum: d951545107b9dbd217ef54e7dd33522c (MD5) Previous issue date: 1992 Embargo set by: Seth Robbins for item 72698 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 78 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1992. http://hdl.handle.net/2142/72530 Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.