PublicaciĂłn:
GEVREY CLASS OF LOCALLY DISSIPATIVE EULER-BERNOULLI BEAM EQUATION

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dc.creatorJAIME EDILBERTO MUĂ‘OZ RIVERA
dc.date2021
dc.date.accessioned2025-01-10T15:22:26Z
dc.date.available2025-01-10T15:22:26Z
dc.date.issued2021
dc.description.abstractWE STUDY THE SEMIGROUP ASSOCIATED TO THE EULER--BERNOULLI BEAM EQUATION WITH LOCALIZED (DISCONTINUOUS) DISSIPATION. WE ASSUME THAT THE BEAM IS COMPOSED OF THREE COMPONENTS: ELASTIC, VISCOELASTIC OF KELVIN--VOIGT TYPE, AND THERMOELASTIC PARTS. WE PROVE THAT THIS MODEL GENERATES A SEMIGROUP OF GEVREY CLASS THAT IN PARTICULAR IMPLIES THE EXPONENTIAL STABILITY OF THE MODEL. TO OUR KNOWLEDGE, THIS IS THE FIRST POSITIVE RESULT GIVING INCREASED REGULARITY FOR THE EULER--BERNOULLI BEAM WITH LOCALIZED DAMPING.
dc.formatapplication/pdf
dc.identifier.doi10.1137/20M1312800
dc.identifier.issn1095-7138
dc.identifier.issn0363-0129
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/11708
dc.languagespa
dc.publisherSIAM JOURNAL ON CONTROL AND OPTIMIZATION
dc.relation.uri10.1137/20M1312800
dc.rightsPUBLICADA
dc.titleGEVREY CLASS OF LOCALLY DISSIPATIVE EULER-BERNOULLI BEAM EQUATION
dc.typeARTĂŤCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIĂ“N
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