Gambera, Laura R. [UNESP]Lizama, CarlosProkopczyk, Andréa [UNESP]2020-12-122020-12-122020-01-01Journal of Evolution Equations.1424-32021424-3199http://hdl.handle.net/11449/198824In 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.engBlackstock–Crighton–WesterveltResolvent familiesWell-posednessArtigo10.1007/s00028-020-00580-32-s2.0-85084470811