Magistrelli, Elisa
(2011)
KAM Theory for PDEs.
[Tesi di dottorato]
(Unpublished)
| Item Type: |
Tesi di dottorato
|
| Resource language: |
English |
| Title: |
KAM Theory for PDEs |
| Creators: |
| Creators | Email |
|---|
| Magistrelli, Elisa | elisa.magistrelli@unina.it |
|
| Date: |
30 November 2011 |
| Number of Pages: |
88 |
| Institution: |
Università degli Studi di Napoli Federico II |
| Department: |
Matematica e applicazioni "Renato Caccioppoli" |
| Scuola di dottorato: |
Scienze matematiche e informatiche |
| Dottorato: |
Scienze matematiche |
| Ciclo di dottorato: |
24 |
| Coordinatore del Corso di dottorato: |
| nome | email |
|---|
| De Giovanni, Francesco | UNSPECIFIED |
|
| Tutor: |
| nome | email |
|---|
| Berti, Massimiliano | m.berti@unina.it |
|
| Date: |
30 November 2011 |
| Number of Pages: |
88 |
| Keywords: |
KAM, PDE, resonant, degenerate |
| Settori scientifico-disciplinari del MIUR: |
Area 01 - Scienze matematiche e informatiche > MAT/05 - Analisi matematica |
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| Date Deposited: |
07 Dec 2011 14:25 |
| Last Modified: |
30 Apr 2014 19:49 |
| URI: |
http://www.fedoa.unina.it/id/eprint/8986 |
| DOI: |
10.6092/UNINA/FEDOA/8986 |
Collection description
This thesis is concerned with KAM theory for Hamiltonian partial differential equations. This theory answers to the following matter: since the solutions of a linear equation are periodic, quasi periodic or almost periodic (for they are superpositions of periodic motions), the problem is to investigate what happens when we add a (sufficiently) small nonlinearity.
This thesis contains two new results: an abstract KAM theorem for degenerate infinite--dimensional systems, with an application to the nonlinear wave equation, and a KAM theorem for a completely resonant nonlinear Schr\"odinger equation.
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