Results 41 to 50 of about 1,209,225 (153)
Hypoelliptic estimates for linear transport operators
, 2020 We aim at understanding how the non-commutation phenomena between a linear transport operator and a fractional diffusion allow the transport operator to satisfy hypoelliptic estimates on the whole space.
Alphonse, Paul
core +2 more sources
Harnack inequality for hypoelliptic ultraparabolic equations with a singular lower order term [PDF]
, 2005 We prove a Harnack inequality for the positive solutions of ultraparabolic equations of the type L u + V u= 0, where L is a linear second order hypoelliptic operator and V belongs to a class of functions of Stummel-Kato type.
Polidoro, Sergio +1 more
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
Compactness in kinetic transport equations and hypoellipticity
Journal of Functional Analysis, 2011 The authors establish improved hypoelliptic estimates on the solutions of kinetic transport equations, using a suitable decomposition of the phase space. It is shown that the relative compactness in all variables of a bounded family of nonnegative functions \(f_\lambda(x,v)\in L^1\) satisfying some appropriate transport relation \[ v\cdot \nabla_x f_ ...
Arsénio, Diogo, Saint-Raymond, Laure
openaire +1 more source
Hypoellipticity for infinitely degenerate quasilinear equations and the dirichlet problem [PDF]
Journal d'Analyse Mathématique, 2013 45 pages, 4 ...
Rios, Cristian +2 more
openaire +3 more sources
Optimal control for parameter estimation in partially observed hypoelliptic stochastic differential equations [PDF]
, 2021 We deal with the problem of parameter estimation in stochastic differential equations (SDEs) in a partially observed framework. We aim to design a method working for both elliptic and hypoelliptic SDEs, the latters being characterized by degenerate ...
Clairon, Quentin +3 more
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
Harnack inequality for hypoelliptic ultraparabolic equations with a singular lower order term [PDF]
, 2008 We prove a Harnack inequality for the positive solutions of ultraparabolic equations of the type L u + V u = 0;where L is a linear second order hypoelliptic differential operator and V belongs to a class of functions of Stummel-Kato type.
Maria Alessandra Ragusa +5 more
core +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
Singular stochastic differential equations with elliptic and hypoelliptic diffusions [PDF]
, 2020 In this thesis, the well-posedness of stochastic differential equations (SDEs) with singular coefficients is discussed. First, it is proved that SDEs with elliptic diffusion possess a unique solution when drift vector fields belong to the Orlicz ...
Nam, Kyeongsik
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