Results 121 to 130 of about 3,513,590 (164)

Optimal control for parameter estimation in partially observed hypoelliptic stochastic differential equations

Computational statistics (Zeitschrift), 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 ...
Q. Clairon, Adeline Samson
semanticscholar   +1 more source

Gradient Estimates for Some Semi-Linear Hypoelliptic Equations

Acta Applicandae Mathematicae, 2012
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Qian, Bin, Chen, Li
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Boundedness of weak solutions to degenerate Kolmogorov equations of hypoelliptic type in bounded domains

Journal of Differential Equations
We establish the boundedness of weak subsolutions for a class of degenerate Kolmogorov equations of hypoelliptic type, compatible with a homogeneous Lie group structure, within bounded product domains using the De Giorgi iteration.
Mingyi Hou
semanticscholar   +1 more source

Higher-order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces: the critical case

Journal of evolution equations (Printed ed.)
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Vishvesh Kumar, Shyam Swarup Mondal, M. Ruzhansky, B. Torebek   +3 more
semanticscholar   +1 more source

Smoothness of solutions of almost hypoelliptic equations

Journal of Contemporary Mathematical Analysis, 2008
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Margaryan, V. N., Ghazaryan, H. G.
openaire   +1 more source

Uniform Schauder estimates for regularized hypoelliptic equations

Annali di Matematica Pura ed Applicata, 2008
The author considers operators of the form \[ L_\lambda= \sum^m_{j=1} X^2_j+ \Delta\qquad\text{in }\mathbb{R}^n, \] where \(\lambda\) is a small parameter and the smooth vector fields \(X_j\), \(j= 1,\dots, m\), \(m< n\), satisfy the Hörmander condition rank Lie \((X_1,\dots, X_m)= n\).
openaire   +4 more sources

Smoothness of solutions of almost hypoelliptic equations

Journal of Contemporary Mathematical Analysis, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Stochastic Differential Equations and Hypoelliptic Operators

2004
The first half of the twentieth century saw some remarkable developments in analytic probability theory. Wiener constructed a rigorous mathematical model of Brownian motion. Kolmogorov discovered that the transition probabilities of a diffusion process define a fundamental solution to an associated heat equation.
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Hypoelliptic overdetermined systems of partial differential equation

Communications in Partial Differential Equations, 1980
(1980). Hypoelliptic overdetermined systems of partial differential equation. Communications in Partial Differential Equations: Vol. 5, No. 4, pp. 331-380.
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Anisotropic function spaces and related semi–linear hypoelliptic equations

Mathematische Nachrichten, 2003
AbstractLooking for the best possible smoothness (in terms of the upper index of the Besov spaces) for the solution of some semi–linear equations we consider a model case of a hypoelliptic operator, which acts between anisotropic Besov spaces. To obtain the best regularity we need some properties for the corresponding spaces, which we prove here.
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