Existence and regularity for linear delay partial differential equations

DOI10.1016/0362-546X(80)90064-4zbMath0433.35066MaRDI QIDQ3871298

P. Ricciardi, A. Ardito

Publication date: 1980

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

regularityexistenceanalytic semigroupinfinitesimal generatorinterpolation spacespartial differential equations with deviating arguments

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Partial functional-differential equations (35R10)

Related Items (18)

Stability for abstract linear functional differential equations ⋮ A delay parabolic Cauchy-Dirichlet problem in interpolation space ⋮ On convergence of difference schemes for delay parabolic equations ⋮ On stationarity of stochastic retarded linear equations with unbounded drift operators ⋮ Nonautonomous functional differential equations in Hilbert spaces ⋮ Heat equation with memory in anisotropic and non-homogeneous media ⋮ Optimal control for quasilinear retarded parabolic systems ⋮ Well-posedness of delay parabolic difference equations ⋮ Optimal control of variational inequalities with delays in the highest order spatial derivatives ⋮ Well-posedness and stability of nonautonomous past systems with unbounded operators in the delay term ⋮ Oscillation of continuous and discrete diffusive delay Nicholson's blowflies models ⋮ Necessary conditions for partial differential equations with delay to generate \(C_ 0\)-semigroups ⋮ \(L^ 2\)-regularity for parabolic partial integrodifferential equations with delay in the highest-order derivatives ⋮ On a class of retarded partial differential equations ⋮ On the Stability of Schrödinger Type Involutory Differential Equations ⋮ Delay differential equations with unbounded operators acting on delay terms ⋮ On the stability of the Schrödinger equation with time delay ⋮ On the abstract Cauchy problem of parabolic type in spaces of continuous functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Differential-difference equations
• Sommes d'opérateurs linéaires et équations différentielles opérationnelles
• Partial differential equations with deviating arguments in the time variable
• Linear autonomous neutral differential equations in a Banach space

This page was built for publication: Existence and regularity for linear delay partial differential equations