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

Nenhuma Miniatura disponível

Data

2020-01-01

Autores

Gambera, Laura R. [UNESP]
Lizama, Carlos
Prokopczyk, Andréa [UNESP]

Título da Revista

ISSN da Revista

Título de Volume

Editor

Resumo

In 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.

Descrição

Palavras-chave

Blackstock–Crighton–Westervelt, Resolvent families, Well-posedness

Como citar

Journal of Evolution Equations.

Coleções