Stabilization of the wave equation with Neumann boundary condition and localized nonlinear damping

Simple item page
dc.contributor.authorCharao, Ruy C.
dc.contributor.authorAstaburuaga, Maria A.
dc.contributor.authorFernandez, Claudio
dc.date.accessioned2024-01-10T13:43:38Z
dc.date.available2024-01-10T13:43:38Z
dc.date.issued2009
dc.description.abstractWe show that the solutions of the wave equation with potential, Neumann boundary conditions and a locally distributed nonlinear damping, decay to zero, with an algebraic rate, that is, the total energy E(t) satisfies for t >= 0: E(t) <= C(1 + t)(-gamma), where C is a positive constant depending on E(0) and gamma > 0 is a constant. We assume geometrical conditions as in P. Martinez [7]. In the one/two-dimensional cases, we obtain exponential decay rate when the nonlinear dissipation behaves linearly close to the origin. The same result holds in higher dimension if the dissipative localized term behaves linearly.
dc.description.funderProsul-CNPq, Brasil
dc.description.funderLaboratorio de Analisis Estocastico
dc.description.funderFondecyt
dc.fechaingreso.objetodigital2024-07-09
dc.format.extent24 páginas
dc.fuente.origenWOS
dc.identifier.eissn1572-9206
dc.identifier.issn1521-1398
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/78707
dc.identifier.wosidWOS:000264568100007
dc.information.autorucMatemática;Astaburuaga MA;S/I;99335
dc.information.autorucMatemática;Fernandez C;S/I;99695
dc.issue.numero4
dc.language.isoen
dc.nota.accesoContenido completo
dc.pagina.final701
dc.pagina.inicio678
dc.publisherEUDOXUS PRESS, LLC
dc.revistaJOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
dc.rightsacceso abierto
dc.subjectwave equation
dc.subjectNeumann boundary condition
dc.subjectnon-linear damping
dc.subjectlocalized damping
dc.subjectdecay rate
dc.subjectEXTERIOR DOMAIN
dc.subjectDECAY
dc.subjectTERMS
dc.titleStabilization of the wave equation with Neumann boundary condition and localized nonlinear damping
dc.typeartículo
dc.volumen11
sipa.codpersvinculados99335
sipa.codpersvinculados99695
sipa.indexWOS
sipa.trazabilidadCarga SIPA;09-01-2024
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Stabilization of the wave equation with Neumann boundary condition and localized nonlinear damping.pdf
Size:
168.41 KB
Format:
Adobe Portable Document Format
Description:
Download
Collections
Artículos de revistas