Well-posedness for the abstract Blackstock–Crighton–Westervelt equation

dc.contributorUniversidade Estadual Paulista (Unesp)
dc.contributorUniversidad de Santiago de Chile
dc.date.accessioned2020-12-12T01:23:01Z
dc.date.accessioned2022-12-19T20:45:29Z
dc.date.available2020-12-12T01:23:01Z
dc.date.available2022-12-19T20:45:29Z
dc.date.created2020-12-12T01:23:01Z
dc.date.issued2020-01-01
dc.identifierJournal of Evolution Equations.
dc.identifier1424-3202
dc.identifier1424-3199
dc.identifierhttp://hdl.handle.net/11449/198824
dc.identifier10.1007/s00028-020-00580-3
dc.identifier2-s2.0-85084470811
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/5379458
dc.description.abstractIn this paper, an abstract degenerate hyperbolic equation is considered that includes the semilinear Blackstock–Crighton–Westervelt equation. By proposing a new approach based on strongly continuous semigroups and resolvent families of operators, we prove an explicit representation of the strong and mild solutions for the linearized model by means of a kind of variation of parameters formula. Moreover, we show that under nonlocal initial conditions, the existence of a mild solution of the semilinear equation can be established.
dc.languageeng
dc.relationJournal of Evolution Equations
dc.sourceScopus
dc.subjectBlackstock–Crighton–Westervelt
dc.subjectResolvent families
dc.subjectWell-posedness
dc.titleWell-posedness for the abstract Blackstock–Crighton–Westervelt equation
dc.typeArtículos de revistas


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