On some abstract variable domain hyperbolic differential equations
In this paper, the authors study the Cauchy problem for a class of linear abstract differential equations of hyperbolic type with variable domain. The authors prove a theorem on existence and uniqueness for weak solutions. Moreover, some applications to PDEs are also given: they concern linear hyperbolic equations either in noncylindrical regions or with mixed variable lateral conditions.
linear abstract differential equations of hyperbolic type
scientific article; zbMATH DE number 1463344
scientific article