R-sectoriality of truly cylindrical boundary value problems

Autor: Nau, Tobias, Saal, Jürgen
Jazyk: angličtina
Rok vydání: 2009
Předmět:
Popis: We prove R-sectoriality or, equivalently, L p-maximal regularity for a class of operators on some cylindrical domains of the form ℝn-k x V, where V ⊂ ℝk is a domain with compact boundary, ℝk, or a half-space. Instead of extensive localization procedures, we present an elegant approach via operator valued multiplier theory, which takes advantage of the cylindrical shape of both, the domain and the operator.
Databáze: OpenAIRE