Semilinear evolution equations on discrete time and maximal regularity

DOI10.1016/j.jmaa.2009.08.063zbMath1182.47054OpenAlexW2002682019MaRDI QIDQ1036174

Carlos Lizama, Claudio Cuevas

Publication date: 5 November 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.08.063

zbMATH Keywords

stabilitydiscrete timediscrete maximal regularitysemilinear evolution equations

Mathematics Subject Classification ID

Evolution inclusions (34G25) Applications of operator theory to differential and integral equations (47N20) Additive difference equations (39A10) Nonlinear evolution equations (47J35) Stability theory for difference equations (39A30)

Related Items

Well-posedness of second order evolution equation on discrete time, lp-maximal regularity for fractional difference equations on UMD spaces, Semilinear functional difference equations with infinite delay, Discretization of C0$$ {C}_0 $$‐semigroups and discrete semigroups of operators in Banach spaces, Perturbation theory, stability, boundedness and asymptotic behaviour for second order evolution equation in discrete time, Almost automorphy profile of solutions for difference equations of Volterra type, Discrete maximal regularity for abstract Cauchy problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The operator-valued Marcinkiewicz multiplier theorem and maximal regularity
• Some remarks on Banach spaces in which martingale difference sequences are unconditional
• Periodic solutions of second order differential equations in Banach spaces
• The stability and control of discrete processes
• Existence and regularity results for an integral equation with infinite delay in a Banach space
• Best possible Gronwall inequalities
• 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.
• Stabilization with data-rate-limited feedback: tightest attainable bounds
• Maximal regularity of evolution equations on discrete time scales
• A note on time regularity for discrete time heat kernels
• Stabilization of nonlinear discrete-time systems via a digital communication channel
• Maximal regularity of discrete and continuous time evolution equations
• MaximalLp regularity for parabolic difference equations
• Stability of the crank-nicolson scheme and maximal regularity for parabolic equations in spaces
• ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
• OPERATOR-VALUED FOURIER MULTIPLIERS ON PERIODIC BESOV SPACES AND APPLICATIONS
• Maximal regularity for a class of integro-differential equations with infinite delay in Banach spaces
• 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
• Gronwall Type Inequalities
• Stabilizing a linear system with quantized state feedback
• Analyticity and discrete maximal regularity on \(\ell_p\)-spaces
• Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity