Results 31 to 40 of about 3,789 (142)
Rough hypoellipticity for the heat equation in Dirichlet spaces
Mathematische Nachrichten, 2023 AbstractThis paper aims at proving the local boundedness and continuity of solutions of the heat equation in the context of Dirichlet spaces under some rather weak additional assumptions. We consider symmetric local regular Dirichlet forms, which satisfy mild assumptions concerning (1) the existence of cut‐off functions, (2) a local ultracontractivity ...
Qi Hou, Laurent Saloff‐Coste
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A Parametrix for Step-Two Hypoelliptic Diffusion Equations [PDF]
Transactions of the American Mathematical Society, 1986 In this paper I construct a parametrix for the hypoelliptic diffusion equations ( ∂ / ∂ t − L ) u = 0 (\partial /\partial t - L)u = 0 , where L = ∑ a = 1 n
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${L^p}$-Liouville Theorems for Invariant Partial Differential Operators in ${\mathbb{R}^n}$
, 2014 We prove some $L^p$-Liouville theorems for hypoelliptic second order Partial Differential Operators left translation invariant with respect to a Lie group composition law in $\mathbb{R}^n$.
Kogoj, Alessia E., Lanconelli, Ermanno
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The Gevrey hypoellipticity for kinetic equations
, 2011 In this paper, we study the Gevrey regularity of weak solutions for a class of linear and semi-linear kinetic equations, which are the linear model of spatially inhomogeneous Boltzmann equations without an angular cutoff.
Chen, Hua, Li, Weixi, Xu, Chao-Jiang
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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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On a rigidity result for Kolmogorov-type operators
Bruno Pini Mathematical Analysis SeminarLet 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
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Large time behavior for the heat equation on Carnot groups
, 2012 We first generalize a decomposition of functions on Carnot groups as linear combinations of the Dirac delta and some of its derivatives, where the weights are the moments of the function.
Rossi, Francesco
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Globally hypoelliptic and globally solvable first-order evolution equations [PDF]
Transactions of the American Mathematical Society, 1979 We consider global hypoellipticity and global solvability of abstract first order evolution equations defined either on an interval or in the unit circle, and prove that it is equivalent to certain conditions bearing on the total symbol. We relate this to known results about hypoelliptic vector fields on the 2-torus.
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