Results 31 to 40 of about 274,043 (302)
International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
wiley +1 more source
Perturbation, interpolation, and maximal regularity
Advances in Differential Equations, 2006 International audience; We prove perturbation theorems for sectoriality and $R$--sectoriality in Banach spaces, which yield results on perturbation of generators of analytic semigroups and on perturbation of maximal $L^p$--regularity. For a given sectorial or $R$--sectorial operator $A$ in a Banach space $X$ we give conditions on intermediate spaces $Z$
Haak, Bernhard H. +2 more
openaire +3 more sources
Maximal regular boundary value problems in Banach-valued function spaces and applications
International Journal of Mathematics and Mathematical Sciences, 2006 The nonlocal boundary value problems for differential operator equations of second order with dependent coefficients are studied. The principal parts of the differential operators generated by these problems are non-selfadjoint.
Veli B. Shakhmurov
doaj +1 more source
Endpoint regularity of discrete multilinear fractional nontangential maximal functions
Advances in Difference Equations, 2019 Given m≥1 $m\geq 1$, 0≤λ≤1 $0\leq \lambda \leq 1$, and a discrete vector-valued function f→=(f1,…,fm) $\vec{f}=(f_{1},\ldots,f_{m})$ with each fj:Zd→R $f_{j}:\mathbb{Z} ^{d}\rightarrow \mathbb{R}$, we consider the discrete multilinear fractional ...
Daiqing Zhang
doaj +1 more source
Strongly regular graphs with maximal energy [PDF]
Linear Algebra and its Applications, 2007 AbstractThe energy of a graph is the sum of the absolute values of the eigenvalues of its adjacency matrix. Koolen and Moulton have proved that the energy of a graph on n vertices is at most n(1+n)/2, and that equality holds if and only if the graph is strongly regular with parameters (n,(n+n)/2,(n+2n)/4,(n+2n)/4).
openaire +7 more sources
Numerical analysis of nonlinear subdiffusion equations [PDF]
, 2017 We present a general framework for the rigorous numerical analysis of time-fractional nonlinear parabolic partial differential equations, with a fractional derivative of order $\alpha\in(0,1)$ in time.
Jin, Bangti, Li, Buyang, Zhou, Zhi
core +2 more sources
Regularity of Commutators of the One-Sided Hardy-Littlewood Maximal Functions
Journal of Function Spaces, 2020 In this paper, the regularity properties of two classes of commutators of the one-sided Hardy-Littlewood maximal functions and their fractional variants are investigated.
Daiqing Zhang
doaj +1 more source
Maximal regularity of parabolic transmission problems [PDF]
Journal of Evolution Equations, 2020 AbstractLinear reaction–diffusion equations with inhomogeneous boundary and transmission conditions are shown to possess the property of maximal$$L_\mathrm{p}$$Lp regularity. The new feature is the fact that the transmission interface is allowed to intersect the boundary of the domain transversally.
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Time Fractional Derivatives and Evolution Equations
Bruno Pini Mathematical Analysis Seminar, 2017 In this seminar we introduce the fractional derivatives of Riemann-Liouville and Caputo, with some of their main properties. We conclude by illustrating certain results of maximal regularity for mixed initial-boundary value problems, evolving them.
Davide Guidetti
doaj +1 more source
Maximal $L^p$-regularity for stochastic evolution equations [PDF]
, 2012 We prove maximal $L^p$-regularity for the stochastic evolution equation \[\{{aligned} dU(t) + A U(t)\, dt& = F(t,U(t))\,dt + B(t,U(t))\,dW_H(t), \qquad t\in [0,T], U(0) & = u_0, {aligned}.\] under the assumption that $A$ is a sectorial operator with ...
Amann H. +18 more
core +2 more sources