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We apply our main result to maximal regularity for Cauchy problems involving A.
The crucial parts of the proof are to employ the end-point type of maximal regularity for the homogeneous heat equation and some new bilinear estimates in the Hardy space.
In this section, we obtain a spectral characterization about maximal regularity for (1.2).
In the fifth section, we obtain a characterization about maximal regularity for (1.2).
Using exponential dichotomies, we get maximal regularity for retarded functional difference equations.
In this direction one of the authors in [18] considered maximal regularity for Volterra difference equations with infinite delay.
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We prove that the boundedness of a special type of operator valued H∞-calculus is sufficient for maximal regularity of the solution.
We prove maximal regularity of type Lp Lq for operators in non-divergence form with complex-valued measurable coefficients on Rn.
In this paper, we establish the separability properties of the problem (1.1) and the maximal regularity of Cauchy problem for parabolic CDOE.
As recently shown by the author, the analyticity of T is a necessary condition for the maximal regularity of the discrete time evolution equation un+1−Tun=fn for all n∈Z+, u0=0.
These results are discrete analogues of the corresponding results for the maximal regularity of the evolution equation u′(t)−Au(t)=f(t) for all t∈R+, u(0)=0, due to Lamberton, Weis, Coulhon and Duong and Hieber and Prüss.
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