Keywords and Phrases
Nonlinear partial differential equations
“We study several different problems related to nonlinear Schrödinger equations….
We prove several new results for the first equation: a modified scattering result for both an averaged version of the equation and the full equation, as well as a set of Strichartz estimates and a blowup result for the 3d cubic problem.
We also present an exposition of the classical work of Bourgain on invariant measures for the second equation in the mass-subcritical regime”--Abstract, page iv.
Singler, John R.
Mathematics and Statistics
M.S. in Applied Mathematics
Missouri University of Science and Technology
Journal article titles appearing in thesis/dissertation
- Modified scattering for a dispersion-managed nonlinear Schrödinger equation
- Well-posedness and blowup for the dispersion-managed nonlinear Schrödinger equation
ix, 102 pages
© 2022 Timothy Robert Van Hoose, All rights reserved.
Thesis - Open Access
Van Hoose, Tim, "Several problems in nonlinear Schrödinger equations" (2022). Masters Theses. 8100.