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dc.contributor.authorTebba, Zakia-
dc.date.accessioned2022-05-31T11:54:19Z-
dc.date.available2022-05-31T11:54:19Z-
dc.date.issued2022-
dc.identifier.urihttp//localhost:8080/jspui/handle/123456789/4294-
dc.description.abstractThisdissertationisdevotedtostudythewell-posednessandtheblow-upofsolutionsofsome nonlinearhyperbolicproblemsinvolvingnon-classicalnonlinearities.Weprovedundersuitable assumptionsontheexponentsofnonlinearitythelocal,globalexistenceandestablishtheresults ofblow-upofsomewaveequations. Itseemsthatthesourceterminhibitstheglobalexistence(intime)ofthesolutionofthe problemistosaythattheenergyoftheproblem(orsolution)tendstoin nityforthenormof spacewhenttendstoa nitetimeT.Obviously,thedampingtermstabilizesthesolutionofthe problem,anditisclearthatintheabsenceofsourceterms,ifthesolutionexistslocally,wecan alwaysexpanditintoaglobalsolution.Thisinteractionbetweensourceanddampingtermshas beenatargetinmanystudiesandisstills-Itisimportantalsotoknowwhichtermisdominant totheother-. Wecansaythatourresearchisanexpansionofsomeresultsdonebypreviousresearchers. Mainly,bymakingappropriatemodi cations,weextendedsomeknownresultsofsomenonlinear waveequationswithconstantandvariable-exponentnonlinearitiesstudiedbyMessaoudi,and exploitideasbyGeorgievandTodorova.en_US
dc.language.isoenen_US
dc.subjectBlow-up,globalexistence,sourceterm,waveequation,viscosity, negativeinitialenergy,variableexponents,positiveinitialenergy,existenceanduniqueness, Faedo-Galerkinen_US
dc.titleStudy of The Existence and Blow-up For a Class of Nonlinear Damped Wave Equationen_US
dc.typeThesisen_US
Appears in Collections:3.Faculté des Science Exactes et des Sciences de la Nature et de la Vie

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