Results 41 to 50 of about 425 (156)

Hypoelliptic convolution equations in 𝐾’_{𝑝}, 𝑝>1 [PDF]

, 1976
We consider convolution equations in the space K p ′ , p > 1 {K’_p},p > 1 , of distributions which “grow” no faster than ...
G. Sampson, Z. Zieleźny
core   +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

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  

Anisotropic hypoelliptic estimates for Landau-type operators [PDF]

, 2011
We establish global hypoelliptic estimates for linear Landau-type operators. Linear Landau-type equations are a class of inhomogeneous kinetic equations with anisotropic diffusion whose study is motivated by the linearization of the Landau equation near ...
Hérau, F., F. Hérau, Pravda-Starov, K., K. Pravda-Starov   +3 more
core   +1 more source

On a rigidity result for Kolmogorov-type operators

Bruno Pini Mathematical Analysis Seminar
Let D be a bounded open subset of ℝN and let z0 be a point of D. Assume that the Newtonian potential of D is proportional outside D to the potential of a mass concentrated at z0. Then D is a Euclidean ball centred at z0. This theorem, proved by Aharonov,
Alessia E. Kogoj
doaj   +1 more source

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

Tunneling estimates and approximate controllability for hypoelliptic equations [PDF]

, 2018
This article is concerned with quantitative unique continuation estimates for equations involving a " sum of squares " operator L on a compact manifold M assuming: (i) the Chow-Rashevski-Hörmander condition ensuring the hypoellipticity of L, and (ii) the
Laurent, Camille, Léautaud, Matthieu
core   +1 more source

Fractional Klein-Gordon equation with singular mass. II: Hypoelliptic case [PDF]

, 2021
In this paper we consider a fractional wave equation for hypoelliptic operators with a singular mass term depending on the spacial variable and prove that it has a very weak solution.
Tokmagambetov, Niyaz, Tokmagambetov, N, Chatzakou, M, Ruzhansky, M, Chatzakou, Marianna, Ruzhansky, Michael   +5 more
core   +1 more source