Semi-linear waves with time-dependent speed and dissipation
| Autor: | Bui, Tang Bao Ngoc |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: |
info:eu-repo/classification/ddc/510
ddc:510 info:eu-repo/classification/ddc/515 ddc:515 info:eu-repo/classification/ddc/532 ddc:532 info:eu-repo/classification/ddc/534 ddc:534 Skalare Wellengleichung Nichtlineare Wellengleichung Wellengleichung Energiemethode semi-linear Wellengleichungen hyperbolische Modelle Phasenraum-Methoden Zonen-Methode Energie-Abschätzungen semi-linear wave equation hyperbolic models phase space methods zone method energy estimates |
| Druh dokumentu: | Text<br />Doctoral Thesis |
| Popis: | The main goal of our thesis is to understand qualitative properties of solutions to the Cauchy problem for the semi-linear wave model with time-dependent speed and dissipation. We greatly benefited from very precise estimates for the corresponding linear problem in order to obtain the global existence (in time) of small data solutions. This reason motivated us to introduce very carefully a complete description for classification of our models: scattering, non-effective, effective, over-damping. We have considered those separately. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
| Externí odkaz: |
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