| LDR | | 02028nmm uu200397 4500 |
| 001 | | 000000332918 |
| 005 | | 20240805171832 |
| 008 | | 181129s2018 |||||||||||||||||c||eng d |
| 020 | |
▼a 9780438101067 |
| 035 | |
▼a (MiAaPQ)AAI10808214 |
| 035 | |
▼a (MiAaPQ)ucsd:17343 |
| 040 | |
▼a MiAaPQ
▼c MiAaPQ
▼d 248032 |
| 082 | 0 |
▼a 510 |
| 100 | 1 |
▼a Pornnopparath, Donlapark. |
| 245 | 10 |
▼a Well-posedness and Modified Scattering for Derivative Nonlinear Schrodinger Equations. |
| 260 | |
▼a [S.l.] :
▼b University of California, San Diego.,
▼c 2018 |
| 260 | 1 |
▼a Ann Arbor :
▼b ProQuest Dissertations & Theses,
▼c 2018 |
| 300 | |
▼a 132 p. |
| 500 | |
▼a Source: Dissertation Abstracts International, Volume: 79-11(E), Section: B. |
| 500 | |
▼a Adviser: Ioan Bejenaru. |
| 502 | 1 |
▼a Thesis (Ph.D.)--University of California, San Diego, 2018. |
| 520 | |
▼a We consider the initial value problem for various type of nonlinear Schrodinger equations with derivative nonlinearity which cannot be treated by normal perturbative arguments because of the loss in derivative from the nonlinearity. |
| 520 | |
▼a The first part of the study involves finding the well-posedness in low regularity Sobolev spaces for different types of nonlinearities. The key idea is to capture a part of the solution that resembles the linear Schrodinger dynamic while keeping |
| 520 | |
▼a In the second part, we study the dynamic of the cubic nonlinear Schrodinger equation in the energy critical Sobolev space by projecting the solution onto different wave packets which are frequency and spatial localized at all time. As a result, |
| 590 | |
▼a School code: 0033. |
| 650 | 4 |
▼a Mathematics. |
| 690 | |
▼a 0405 |
| 710 | 20 |
▼a University of California, San Diego.
▼b Mathematics. |
| 773 | 0 |
▼t Dissertation Abstracts International
▼g 79-11B(E). |
| 773 | |
▼t Dissertation Abstract International |
| 790 | |
▼a 0033 |
| 791 | |
▼a Ph.D. |
| 792 | |
▼a 2018 |
| 793 | |
▼a English |
| 856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T14997800
▼n KERIS |
| 980 | |
▼a 201812
▼f 2019 |
| 990 | |
▼a 관리자 |