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Semi-linear waves with time-dependent speed and dissipation / Semi-lineare Wellengleichung mit zeitabhängiger Geschwindigkeit und Dissipation

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.

Identiferoai:union.ndltd.org:DRESDEN/oai:qucosa.de:bsz:105-qucosa-147037
Date04 July 2014
CreatorsBui, Tang Bao Ngoc
ContributorsTU Bergakademie Freiberg, Mathematik und Informatik, Prof. rer. nat. habil. Micheal Reissig, Prof. rer. nat. habil. Micheal Reissig, Prof. Dr. nauk. Karen Yagdjian
PublisherTechnische Universitaet Bergakademie Freiberg Universitaetsbibliothek "Georgius Agricola"
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typedoc-type:doctoralThesis
Formatapplication/pdf

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