Analytical approximation to solutions of singularly perturbed boundary value problems.
Analyticity for some degenerate one-dimensional evolution equations
We study the analyticity of the semigroups generated by some degenerate second order differential operators in the space C([α,β]), where [α,β] is a bounded real interval. The asymptotic behaviour and regularity with respect to the space variable are also investigated.
Analyticity of a joint spectrum and a multivariable analytic Fredholm theorem. (Analyticity of a joint spectrum and a multivariable analytic Fredhom theorem.)
Analyticity of absorption semigroups.
Analyticity of relative fundamental solutions and projections for left invariant operators on the Heisenberg group
Analyticity of the propagators of second order linear differential equations in Banach spaces.
Analyticity of thermo-elastic semigroups with coupled hinged/Neumann boundary conditions.
Analyticity of thermo-elastic semigroups with free boundary conditions
Analyticity of transition semigroups and closability of bilinear forms in Hilbert spaces
We consider a semigroup acting on real-valued functions defined in a Hilbert space H, arising as a transition semigroup of a given stochastic process in H. We find sufficient conditions for analyticity of the semigroup in the space, where μ is a gaussian measure in H, intrinsically related to the process. We show that the infinitesimal generator of the semigroup is associated with a bilinear closed coercive form in . A closability criterion for such forms is presented. Examples are also given....
Analytische Vektoren von Faltungshalbgruppen. I.
Ancora sulla perturbazione delle disequazioni d'evoluzione paraboliche
Anisotropic Besov spaces and approximation numbers of traces on related fractal sets.
This paper deals with approximation numbers of the compact trace operator of an anisotropic Besov space into some Lp-space,trΓ: Bpps,a (Rn) → Lp(Γ), s > 0, 1 < p < ∞,where Γ is an anisotropic d-set, 0 < d < n. We also prove homogeneity estimates, a homogeneous equivalent norm and the localization property in Bpps,a.
Anisotropic classes of homogeneous pseudodifferential symbols
We define homogeneous classes of x-dependent anisotropic symbols in the framework determined by an expansive dilation A, thus extending the existing theory for diagonal dilations. We revisit anisotropic analogues of Hörmander-Mikhlin multipliers introduced by Rivière [Ark. Mat. 9 (1971)] and provide direct proofs of their boundedness on Lebesgue and Hardy spaces by making use of the well-established Calderón-Zygmund theory on spaces of homogeneous type. We then show that x-dependent symbols in...
Anomalous quantum transport in presence of self-similar spectra
Another consequence of tanahashi’s argument on best possibility of the grand Furuta inequality
We show that Tanahashi’s argument on best possibility of the grand Furuta inequality has an additional consequence.
Another fixed point theorem for nonexpansive potential operators
We prove the following result: Let X be a real Hilbert space and let J: X → ℝ be a C¹ functional with a nonexpansive derivative. Then, for each r > 0, the following alternative holds: either J’ has a fixed point with norm less than r, or .
Another proof of Derriennic's reverse maximal inequality for the supremum of ergodic ratios
Using the ratio ergodic theorem for a measure preserving transformation in a -finite measure space we give a straightforward proof of Derriennic’s reverse maximal inequality for the supremum of ergodic ratios.
Another version of Anderson's inequality in the ideal of all compact operators.
Antieigenvalue analysis for continuum mechanics, economics, and number theory
My recent book Antieigenvalue Analysis, World-Scientific, 2012, presented the theory of antieigenvalues from its inception in 1966 up to 2010, and its applications within those forty-five years to Numerical Analysis, Wavelets, Statistics, Quantum Mechanics, Finance, and Optimization. Here I am able to offer three further areas of application: Continuum Mechanics, Economics, and Number Theory. In particular, the critical angle of repose in a continuum model of granular materials is shown to be exactly...
Antieigenvalue inequalities in operator theory.