Results 41 to 50 of about 553 (167)

Some topics on the regularity of analytic-Gevrey vectors

Bruno Pini Mathematical Analysis Seminar
My aim is to give, in this talk, some topics on the question of regularity of Analytic-Gevrey vectors of partial differential operators (p.d.o.) with analytic-Gevrey coefficients.
Makhlouf Derridj
doaj   +1 more source

On the completeness of the space OC$\mathcal {O}_C$

Mathematische Nachrichten, Volume 298, Issue 8, Page 2740-2748, August 2025.
Abstract We explicitly prove the compact regularity of the LF$\mathcal {LF}$‐space of double sequences limk→(s⊗̂(ℓp)k)≅limk→(s⊗̂(c0)−k)$ {\lim _{k\rightarrow }} (s\widehat{\otimes }(\ell ^p)_{k}) \cong {\lim _{k\rightarrow }}(s\widehat{\otimes }(c_0)_{-k})$, 1≤p≤∞$1\le p\le \infty$.
Michael Kunzinger, Norbert Ortner
wiley   +1 more source

A Theory of Generalized Coordinates for Stochastic Differential Equations

Studies in Applied Mathematics, Volume 154, Issue 5, May 2025.
ABSTRACT Stochastic differential equations are ubiquitous modeling tools in applied mathematics and the sciences. In most modeling scenarios, random fluctuations driving dynamics or motion have some nontrivial temporal correlation structure, which renders the SDE non‐Markovian; a phenomenon commonly known as ‘colored’’ noise.
Lancelot Da Costa, Nathaël Da Costa, Conor Heins, Johan Medrano, Grigorios A. Pavliotis, Thomas Parr, Ajith Anil Meera, Karl Friston   +7 more
wiley   +1 more source

On Gevrey regularity of globally C∞ hypoelliptic operators [PDF]

, 2004
We prove Gevrey regularity for a class of operators defined on the torus Tm+n, with real analytic coefficients in Tm, and which are globally C∞ hypoelliptic.
Himonas, A. Alexandrou, Petronilho, Gerson   +1 more
core   +1 more source

Criteria for Hypoellipticity of Differential Operators

Publications of the Research Institute for Mathematical Sciences, 1986
The author studies \(L^ 2\) estimates which imply hypoellipticity of partial differential operators. As a consequence he proves e.g. the hypoellipticity of the operators \[ D_ 1^{2\ell}+D_ 2^{2\ell}+\exp (-| x_ 1|^{-\delta})D_ 3^{2\ell}\quad in\quad {\mathbb{R}}^ 3,\quad \ell \in {\mathbb{Z}}^+/\{0\},\quad ...
openaire   +3 more sources

CR$CR$ analysis via local uniform completion, a sharp maximum modulus principle and holomorphic extension

Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.
Abstract Using iterated uniform local completion, we introduce a notion of continuous CR$CR$ functions on locally closed subsets of reduced complex spaces, generalising both holomorphic functions and CR$CR$ functions on CR$CR$ submanifolds. Under additional assumptions of set‐theoretical weak pseudo‐concavity, we prove optimal maximum modulus ...
Mauro Nacinovich, Egmont Porten
wiley   +1 more source

Parameter Estimation for Fractional Diffusion Process with Discrete Observations

Journal of Function Spaces, Volume 2019, Issue 1, 2019., 2019
This paper deals with the problem of estimating the parameters for fractional diffusion process from discrete observations when the Hurst parameter H is unknown. With combination of several methods, such as the Donsker type approximate formula of fractional Brownian motion, quadratic variation method, and the maximum likelihood approach, we give the ...
Yuxia Su, Yutian Wang, Yong H. Wu
wiley   +1 more source

Ergodicity of hypoeliptic SDEs driven by fractional Brownian motion [PDF]

, 2009
We demonstrate that stochastic differential equations (SDEs) driven by fractional Brownian motion with Hurst parameter H > 1/2 have similar ergodic properties as SDEs driven by standard Brownian motion.
Hairer, Martin, Pillai, Natesh S.
core  

Gevrey Hypoellipticity for Grushin Operators

Publications of the Research Institute for Mathematical Sciences, 1997
The author studies analytic and Gevrey hypoellipticity of operators of the type \[ P= \sum C_{\alpha\beta\gamma} y^\alpha D^\beta_x D^\gamma_y, \] where \(x\in \mathbb{R}^n\), \(y\in\mathbb{R}^m\), and the sum is finite, satisfying suitable conditions as in \textit{V. V. Grušin} [Math. USSR Sbornik 17, 497-514 (1972; 255.35022)].
openaire   +2 more sources

On linearization and uniqueness of preduals

Mathematische Nachrichten, Volume 298, Issue 3, Page 955-975, March 2025.
Abstract We study strong linearizations and the uniqueness of preduals of locally convex Hausdorff spaces of scalar‐valued functions. Strong linearizations are special preduals. A locally convex Hausdorff space F(Ω)$\mathcal {F}(\Omega)$ of scalar‐valued functions on a nonempty set Ω$\Omega$ is said to admit a strong linearization if there are a ...
Karsten Kruse
wiley   +1 more source