Results 41 to 50 of about 4,782 (151)
Bulletin: Classe des sciences mathematiques et natturalles, 2002 We give a condition of sufficiency for the hypoellipticity of a family of equations with constant coefficients satisfied prescribed power growth rate with respect to ? ? (0, 1). The framework is Colombeau algebra of generalized functions.
Nedeljkov, Marko, Pilipović, Stevan
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Some advances in analytic hypoellipticity
Bruno Pini Mathematical Analysis SeminarWe present a brief survey on the theory of the real analytic regularity for the solutions to sums of squares of vector fields satisfying the Hörmander condition.
Marco Mughetti
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Hypoellipticity and Higher Order Levi Conditions
, 2014 We study the $C^\infty$-hypoellipticity for a class of double characteristic operators with simplectic characteristic manifold, in the case the classical condition of minimal loss of derivatives is ...
Mughetti, Marco
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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
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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
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Analytic and Gevrey hypoellipticity for perturbed sums of squares operators [PDF]
, 2017 We prove a couple of results concerning pseudodifferential perturbations of differential operators being sums of squares of vector fields and satisfying Hörmander’s condition.
A. Bove, G. Chinni
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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
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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
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Non linear eigenvalue problems [PDF]
, 2004 In this paper we consider generalized eigenvalue problems for a family of operators with a polynomial dependence on a complex parameter. This problem is equivalent to a genuine non self-adjoint operator.
Robert, Didier
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A symplectic extension map and a new Shubin class of pseudo-differential operators
, 2014 For an arbitrary pseudo-differential operator $A:\mathcal{S}(\mathbb{R}% ^{n})\longrightarrow\mathcal{S}^{\prime}(\mathbb{R}^{n})$ with Weyl symbol $a\in\mathcal{S}^{\prime}(\mathbb{R}^{2n})$, we consider the pseudo-differential operators $\widetilde{A}:\
Bastos +25 more
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