Semilinear Systems of Weakly Coupled Damped Waves

Autor: Mohammed Djaouti, Abdelhamid
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Druh dokumentu: Text<br />Doctoral Thesis
Popis: 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.
Databáze: Networked Digital Library of Theses & Dissertations