Characterization of interpolation spaces and regularity properties for holomorphic semigroups

DOI10.1007/BF02573229zbMath0704.47032MaRDI QIDQ916999

Gabriella Di Blasio

Publication date: 1989

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/134952

zbMATH Keywords

Sobolev spaceBesov spaceholomorphic semigroupinterpolation spacessecond order elliptic operator

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) One-parameter semigroups and linear evolution equations (47D06) General theory of partial differential operators (47F05) Interpolation between normed linear spaces (46B70) Abstract interpolation of topological vector spaces (46M35)

Related Items (4)

Strongly continuous dual semigroups ⋮ \(L^p\)-regularity for parabolic operators with unbounded time-dependent coefficients ⋮ On interpolation with boundary conditions ⋮ Semigroups of operators, cosine operator functions, and linear differential equations

Cites Work

• Linear parabolic evolution equations in \(L^ p\)-spaces
• Generation of analytic semigroups in the \(L^ p\) topology by elliptic operators in \({\mathbb{R}}^ n\)
• Geometric theory of semilinear parabolic equations
• Sommes d'opérateurs linéaires et équations différentielles opérationnelles
• Approximation theorems for semi-group operators in intermediate spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Characterization of interpolation spaces and regularity properties for holomorphic semigroups