Results 51 to 60 of about 152 (97)

On the generation of Beurling type Carleman ultradifferentiable $C_0$-semigroups by scalar type spectral operators

, 2016
A characterization of the scalar type spectral generators of Beurling type Carleman ultradifferentiable $C_0$-semigroups is established, the important case of the Gevrey ultradifferentiability is considered in detail, the implementation of the general criterion corresponding to a certain rapidly growing defining sequence is observed.
openaire   +2 more sources

A minimum modulus theorem and applications to ultradifferential operators

Arkiv för Matematik, 1979
Cioranescu, Ioana, Zsidó, László
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On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator

, 2017
Found are conditions on a scalar type spectral operator $A$ in a complex Banach space necessary and sufficient for all weak solutions of the evolution equation \begin{equation*} y'(t)=Ay(t),\ t\ge 0, \end{equation*} to be strongly Gevrey ultradifferentiable of order $ \ge 1$, in particular analytic or entire, on $[0,\infty)$.
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On Tempered Ultradistributions in Classical Sobolev Spaces

We study the inclusion of tempered ultradistributions (or functions of slow growth) in the notion of classical Sobolev spaces. We investigate basically the properties of tempered ultradistribution spaces in Sobolev spaces.
Amaonyeiro, A. U., Egwe, M. E.
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A class of globally analytic hypoelliptic operators on compact Lie groups

We obtain global analytic hypoellipticity for a class of differential operators that can be expressed as a zero-order perturbation of a sum of squares of vector fields with real-analytic coefficients on compact Lie groups.
Jahnke, Max Reinhold, Rodrigues, Nicholas Braun   +1 more
core  

Transcriptomic and machine learning analyses identify hub genes of metabolism and host immune response that are associated with the progression of breast capsular contracture. [PDF]

Genes Dis
Mao Y, Hou X, Fu S, Luan J.
europepmc   +1 more source

Stability properties of ultraholomorphic classes of Roumieu-type defined by weight matrices. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat
Jiménez-Garrido J, Miguel-Cantero I, Sanz J, Schindl G.   +3 more
europepmc   +1 more source

Surjectivity of partial differential operators in classes of ultradifferentiable functions of Roumieu type

, 1990
The author proves that the surjectivity of a partial differential operator \(P(D)\) in the space \({\mathcal E}_{\{M_ \alpha\}}(\Omega)\) of ultradifferentiable functions is equivalent to the same property in the space \({\mathcal D}_{(M_ \alpha)}(\Omega)\) of Beurling ultradistributions, and can be characterized in terms of the \(P\)- convexity of the
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NON-UNIQUE SOLVABILITY OF A CAUCHY PROBLEM FOR THE WAVE EQUATION IN QUASI-ANALYTIC ULTRADISTRIBUTION CATEGORY (Microlocal Analysis and Related Topics) [PDF]

, 2002
Takiguchi, Takashi
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Contributions to the linear and non-linear theory of ultradistributions [PDF]

, 2018
Debrouwere, Andreas
core