Weighted convolution algebras and their homomorphisms
Weighted Dispersive Estimates for Solutions of the Schrödinger Equation
2000 Mathematics Subject Classification: 35L15, 35B40, 47F05.Introduction and statement of results. In the present paper we will be interested in studying the decay properties of the Schrödinger group.The authors have been supported by the agreement Brazil-France in Mathematics – Proc. 69.0014/01-5. The first two authors have also been partially supported by the CNPq-Brazil.
Weighted norm estimates and -spectral independence of linear operators
We investigate the -spectrum of linear operators defined consistently on for p₀ ≤ p ≤ p₁, where (Ω,μ) is an arbitrary σ-finite measure space and 1 ≤ p₀ < p₁ ≤ ∞. We prove p-independence of the -spectrum assuming weighted norm estimates. The assumptions are formulated in terms of a measurable semi-metric d on (Ω,μ); the balls with respect to this semi-metric are required to satisfy a subexponential volume growth condition. We show how previous results on -spectral independence can be treated...
Weighted pseudo almost automorphic functions with applications to abstract dynamic equations on time scales
We propose a concept of weighted pseudo almost automorphic functions on almost periodic time scales and study some important properties of weighted pseudo almost automorphic functions on almost periodic time scales. As applications, we obtain the conditions for the existence of weighted pseudo almost automorphic mild solutions to a class of semilinear dynamic equations on almost periodic time scales.
Well-posedness of abstract Cauchy problems.
Well-posedness of second order degenerate differential equations in vector-valued function spaces
Using known results on operator-valued Fourier multipliers on vector-valued function spaces, we give necessary or sufficient conditions for the well-posedness of the second order degenerate equations (P₂): d/dt (Mu’)(t) = Au(t) + f(t) (0 ≤ t ≤ 2π) with periodic boundary conditions u(0) = u(2π), (Mu’)(0) = (Mu’)(2π), in Lebesgue-Bochner spaces , periodic Besov spaces and periodic Triebel-Lizorkin spaces , where A and M are closed operators in a Banach space X satisfying D(A) ⊂ D(M). Our results...
Wentzell Boundary Conditions in the Nonsymmetric Case
Let L be a nonsymmetric second order uniformly elliptic operator with generalWentzell boundary conditions. We show that a suitable version of L generates a quasicontractive semigroup on an Lp space that incorporates both the underlying domain and its boundary. This extends the earlier work of the authors on the symmetric case.
"Zero-two'' law for conservative Markov operators
Zur Perron-Frobenius-Theorie stark stetiger Halbgruppen.
Zur Stabilität von C0-Halbgruppen.
α-times integrated semigroups: local and global
We investigate the relations between local α-times integrated semigroups and (α + 1)-times integrated Cauchy problems, and then the relations between global α-times integrated semigroups and regularized semigroups.
ω-ultradistributions and their application to operator theory
Аналитические полугруппы с ядрами и линейные уравнения типа Соболева.
Бесконечно дифференцируемые полугруппы операторов с ядрами
Временные конусы и функциональная модель на римановой поверхности
Группа операторов G в пространстве без G-кручения.
Измеримые реализации групп автоморфизмов и интегральные представления положительных операторов.
Исследование квазигомоклинической структуры, порождаемой полугруппой операторов в банаховом пространстве
К -теории шредингеровских полугрупп. II.
К спектральной теории эллиптических дифференциальных операторов второго порядка