Results 21 to 30 of about 154 (95)
Analytic hypoellipticity of certain second-order evolution equations with double characteristics
, 1976 The present article establishes the analytic hypoellipticity (Definition 1.2) of a class of abstract evolution equations of order two, with double characteristics, under the hypothesis that the coefficients are analytic (in a suitable sense; see §2). The
Mario Tosques
core +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 +7 more
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
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
A comparison principle for nonlinear heat Rockland operators on graded groups
Bulletin of the London Mathematical Society, Volume 50, Issue 5, Page 753-758, October 2018., 2018 Abstract In this note we show a comparison principle for nonlinear heat Rockland operators on graded groups. We give a simple proof for it using purely algebraic relations. As an application of the established comparison principle we prove the global in t‐boundedness of solutions for a class of nonlinear equations for the heat p‐sub‐Laplacian on ...
Michael Ruzhansky, Durvudkhan Suragan
wiley +1 more source
, 1990 Let $P(x, D)$ be a partial differential operator with principal symbol $p_m(x, \xi)=q_{m-l}(x, \xi)a_1(x, \xi)^l$, $l\ge 1$, where $q_{m-l}(x,\xi)$ is elliptic of order $m-l$, $a_1(x, \xi)$ is complex-valued and of principal type.
ZANGHIRATI, Luisa +3 more
core +1 more source
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
Global Hölder Estimates via Morrey Norms for Hypoelliptic Operators with Drift
Journal of Function Spaces, Volume 2017, Issue 1, 2017., 2017 Suppose that X0, X1, …, Xm are left invariant real vector fields on the homogeneous group G with X0 being homogeneous of degree two and X1, …, Xm homogeneous of degree one. In the paper we study the hypoelliptic operator with drift of the kind L=∑i,j=1maijXiXj+a0X0, where a0 ≠ 0 and (aij) is a constant matrix satisfying the elliptic condition on Rm. By
Yuexia Hou, Pengcheng Niu, Guozhen Lu
wiley +1 more source
Global analytic hypoellipticity for a class of left-invariant operators on T1 x S3 [PDF]
, 2020 Orientador: Prof Dr. Alexandre KirilovTese (doutorado) - Universidade Federal do Paraná, Setor de Ciências Exatas, Programa de Pós-Graduação em Matemática. Defesa : Curitiba, 27/02/2020Inclui referências: p.
Silva, Ricardo Paleari da, 1987-
core
Dunkl convolution and elliptic regularity for Dunkl operators
Mathematische Nachrichten, Volume 297, Issue 12, Page 4416-4436, December 2024.Abstract We discuss in which cases the Dunkl convolution u∗kv$u*_kv$ of distributions u,v$u,v$, possibly both with non‐compact support, can be defined and study its analytic properties. We prove results on the (singular‐)support of Dunkl convolutions.
Dominik Brennecken
wiley +1 more source