2024-03-29T15:55:16Zhttp://nur.nu.edu.kz/oai/requestoai:nur.nu.edu.kz:123456789/38842020-01-20T05:46:18Zcom_123456789_496com_123456789_86com_123456789_67col_123456789_1011oai:nur.nu.edu.kz:123456789/41382019-08-20T05:16:23Zcom_123456789_1668com_123456789_86com_123456789_67col_123456789_2875oai:nur.nu.edu.kz:123456789/45842020-04-17T07:00:06Zcom_123456789_4116com_123456789_86com_123456789_67col_123456789_4160oai:nur.nu.edu.kz:123456789/46132020-05-08T09:27:33Zcom_123456789_4120com_123456789_86com_123456789_67col_123456789_4175
Nonlinear Schrödinger-Airy Equation in Sobolev Spaces of Low Regularity
Sakayeva, Zhanna
The Nonlinear Schrödinger-Airy equation is one of the general examples
of dispersive nonlinear partial differential equations. It is commonly used to
characterize the nonlinear propagation of light pulses in optical fibers and is of
great importance in quantum mechanics. In this Capstone Project, we perform
the first steps to show that the solution satisfies a priori upper bound in terms
of the Hs(Sobolev Space) size of the initial data for -1/8 < s < 1/
4 . The result is weaker than the well-posedness. The Capstone Project provides a general scheme of the ideas for the problem described above.
Nazarbayev University School of Sciences and Humanities
2020
Thesis
Capstone Project
en
http://nur.nu.edu.kz/handle/123456789/4613
http://nur.nu.edu.kz/bitstream/123456789/4613/3/Capstone+Project_+Zhanna+Sakayeva.pdf.txt
3f541282da3832353c038b4fbae5bfa1
http://nur.nu.edu.kz/bitstream/123456789/4613/2/license.txt
21e1ee32dc9db28170a85cc237b5660e
http://nur.nu.edu.kz/bitstream/123456789/4613/1/Capstone+Project_+Zhanna+Sakayeva.pdf
36f2ad43cbbf39fce2e4717a1462c873
partial differential equations. low regularity, fourier transform