{"id":{"repo_id":"qucosa-diss","oai_identifier":"oai:qucosa:de:qucosa:23372"},"canonical_url":"https://search.dev.ndltd.org/etd/qucosa-diss/oai:qucosa:de:qucosa:23372","repository":{"repo_id":"qucosa-diss","name":"QUCOSA","base_url":"http://www.qucosa.de/oai/"},"display":{"title":"Semilinear Systems of Weakly Coupled Damped Waves","abstract":"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.","abstract_html":"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.","abstract_has_math":false,"creators":["Mohammed Djaouti, Abdelhamid"],"institution":"TU Bergakademie Freiberg","degree_name":null,"degree_level":"thesis.doctoral","degree_discipline":null,"degree_department":null,"school":null,"contributors":["Reissig, Michael","D’Abbicco, Marcello","Schiermeyer, Ingo","Bernstein, Swanhild","Rheinbach, Oliver"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2018,"date_issued":"2018-06-27","date_published":"2018-06-27","updated_at":"2026-07-24T03:56:21Z","subjects":["Weakly coupled damped wave equations","Global existence","Effective dissipation","Small data solutions","Wellengleichungen"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":null,"outbound_label":null,"outbound_source":null},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Reissig, Michael","D’Abbicco, Marcello","Schiermeyer, Ingo","Bernstein, Swanhild","Rheinbach, Oliver"]},{"key":"dc:creator","label":"Author","values":["Mohammed Djaouti, Abdelhamid"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:publisher","label":"Institution","values":["Technische Universität Bergakademie Freiberg"]},{"key":"dc:type","label":"Dc Type","values":["doctoralThesis"]},{"key":"thesis:degree_level","label":"Degree Level","values":["thesis.doctoral"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["TU Bergakademie Freiberg"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Weakly coupled damped wave equations","Global existence","Effective dissipation","Small data solutions","Wellengleichungen"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["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."]},{"key":"dc:title","label":"Title","values":["Semilinear Systems of Weakly Coupled Damped Waves"]}]}],"canonical_facts":{"dc:contributor":["Reissig, Michael","D’Abbicco, Marcello","Schiermeyer, Ingo","Bernstein, Swanhild","Rheinbach, Oliver"],"dc:creator":["Mohammed Djaouti, Abdelhamid"],"dc:description.abstract":["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."],"dc:publisher":["Technische Universität Bergakademie Freiberg"],"dc:subject":["Weakly coupled damped wave equations","Global existence","Effective dissipation","Small data solutions","Wellengleichungen"],"dc:title":["Semilinear Systems of Weakly Coupled Damped Waves"],"dc:type":["doctoralThesis"],"thesis:degree_level":["thesis.doctoral"],"thesis:institution_name":["TU Bergakademie Freiberg"]},"updated_at":"2026-07-24T03:56:21Z"}