Semilinear evolution equations of second order via maximal regularity

DOI10.1155/2008/316207zbMath1155.47056OpenAlexW2085945176MaRDI QIDQ937544

Claudio Cuevas, Carlos Lizama

Publication date: 15 August 2008

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55092

zbMATH Keywords

semilinear evolution equationdiscrete maximal regularitydifference equation

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Discrete approximations in optimal control (49M25) Nonlinear evolution equations (47J35)

Related Items (11)

Well-posedness of second order evolution equation on discrete time ⋮ Semilinear functional difference equations with infinite delay ⋮ Perturbation theory, stability, boundedness and asymptotic behaviour for second order evolution equation in discrete time ⋮ On the existence of almost automorphic solutions of Volterra difference equations ⋮ Pseudo asymptotically periodic solutions for Volterra difference equations of convolution type ⋮ Almost automorphy profile of solutions for difference equations of Volterra type ⋮ Asymptotic behavior of mild solutions for nonlinear fractional difference equations ⋮ Asymptotic behavior of mild solutions for a class of abstract nonlinear difference equations of convolution type ⋮ Maximal regularity of the discrete harmonic oscillator equation ⋮ Weighted pseudo asymptotically antiperiodic sequential solutions to semilinear difference equations ⋮ Pseudo antiperiodic solutions to Volterra difference equations

Cites Work

• The operator-valued Marcinkiewicz multiplier theorem and maximal regularity
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• Periodic solutions of second order differential equations in Banach spaces
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• A survey: stability and boundedness of Volterra difference equations
• Discrete time analytic semigroups and the geometry of Banach spaces
• Quasilinear evolutionary equations and continuous interpolation spaces.
• Asymptotic properties of solutions to nonautonomous Volterra difference systems with infinite delay
• Maximal regularity of evolution equations on discrete time scales
• A note on time regularity for discrete time heat kernels
• MaximalLp regularity for parabolic difference equations
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• Stability of the crank-nicolson scheme and maximal regularity for parabolic equations in spaces
• OPERATOR-VALUED FOURIER MULTIPLIERS ON PERIODIC BESOV SPACES AND APPLICATIONS
• Operator–valued Fourier multiplier theorems on Besov spaces
• Fourier Multipliers and Integro‐Differential Equations in Banach Spaces
• Maximal regularity of discrete second order Cauchy problems in Banach spaces
• Analyticity and discrete maximal regularity on \(\ell_p\)-spaces
• Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity

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