Hölder regularity for non-autonomous abstract parabolic equations

DOI10.1007/BF02765006zbMath0495.47031OpenAlexW2084874542MaRDI QIDQ1169669

Eugenio Sinestrari, Giuseppe Da Prato

Publication date: 1982

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02765006

zbMATH Keywords

evolution operatorabstract nonautonomous parabolic equationsexistence and sharp regularity properties of the classical solutioninfinitesimal generators of analytic semigroups of negative typemaximal regularity resultsSobolevskij-Tanabe conditions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Groups and semigroups of linear operators (47D03) General theory of ordinary differential operators (47E05) General theory of partial differential operators (47F05) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items

\(C^{\alpha}\)-regularity for non-autonomous linear integrodifferential equations of parabolic type ⋮ Regular solutions for time dependent abstract integrodifferential equations with singular kernel ⋮ Parabolic evolution equations in interpolation and extrapolation spaces ⋮ On the evolution operator for abstract parabolic equations ⋮ Global existence of solutions for a strongly coupled quasilinear parabolic system ⋮ Unnamed Item ⋮ Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay ⋮ Nonautonomous functional differential equations in Hilbert spaces ⋮ Some result on stochastic partial differential equations by the stochastic characteristics method ⋮ The 3D transient semiconductor equations with gradient-dependent and interfacial recombination ⋮ Quasilinear Evolution Equations and Parabolic Systems ⋮ Semigroups of operators, cosine operator functions, and linear differential equations ⋮ Unnamed Item ⋮ Some existence and regularity results for abstract non-autonomous parabolic equations ⋮ An existenc theorem for a stochastic partial differential equation arising from filtering theory ⋮ On the abstract nonautonomous parabolic Cauchy problem in the case of constant domains ⋮ On the abstract Cauchy problem of parabolic type in spaces of continuous functions

Cites Work

• Equations d'évolution abstraites non linéaires de type parabolique
• Sommes d'opérateurs linéaires et équations différentielles opérationnelles
• Evolutionsgleichungen in Banach-Räumen
• On a class of interpolation spaces
• Differential equation s in abstract spaces
• Semi-linear evolution equations in interpolation spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item