Semilinear Systems of Weakly Coupled Damped Waves

In this thesis we study the global existence of small data solutions to the Cauchy problem for semilinear damped wave equations with an effective dissipation term, where the data are supposed to belong to different classes of regularity. We apply these results to the Cauchy problem for weakly coupled systems of semilinear effectively damped waves with respect to the defined classes of regularity for different power nonlinearities. We also presented blow-up results for semi-linear systems with weakly coupled damped waves.

Level thesis:degree_level

thesis.doctoral

Grantor dc:publisher

TU Bergakademie Freiberg

Year

2018

Author dc:creator

• Mohammed Djaouti, Abdelhamid

Contributors dc:contributor

• Reissig, Michael
• D’Abbicco, Marcello
• Schiermeyer, Ingo
• Bernstein, Swanhild
• Rheinbach, Oliver

• Weakly coupled damped wave equations
• Global existence
• Effective dissipation
• Small data solutions
• Wellengleichungen