Some Properties of Solutions to Weakly Hypoelliptic Equations [PDF]
International Journal of Differential Equations, 2013 A linear different operator L is called weakly hypoelliptic if any local solution u of Lu=0 is smooth. We allow for systems, that is, the coefficients may be matrices, not necessarily of square size.
Christian Bär
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Geometric conditions for the null-controllability of hypoelliptic quadratic parabolic equations with moving control supports [PDF]
Comptes Rendus. Mathématique, 2020 We study the null-controllability of some hypoelliptic quadratic parabolic equations posed on the whole Euclidean space with moving control supports, and provide necessary or sufficient geometric conditions on the moving control supports to ensure null ...
Beauchard, Karine +2 more
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MULTI-TERM TIME-FRACTIONAL DERIVATIVE HEAT EQUATION FOR ONE-DIMENSIONAL DUNKL OPERATOR
Вестник КазНУ. Серия математика, механика, информатика, 2022 In this paper, we investigate the well-posedness for Cauchy problem for multi-term time-fractional heat equation associated with Dunkl operator. The equation under consideration includes a linear combination of Caputo derivatives in time with decreasing ...
D. Serikbaev
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Some global Sobolev inequalities related to Kolmogorov-type operators
Bruno Pini Mathematical Analysis Seminar, 2020 In this note we review a recent result in [17] in collaboration with N. Garofalo, where we establish global versions of Hardy-Littlewood-Sobolev inequalities attached to hypoelliptic equations of Kolmogorov type.
Giulio Tralli
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Bruno Pini Mathematical Analysis Seminar, 2016 For every bounded open set Ω in RN+1, we study the first boundary problem for a wide class of hypoelliptic evolution operators. The operators are assumed to be endowed with a well behaved global fundamental solution that allows us to construct a ...
Alessia E. Kogoj
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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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Parameter Estimation of a Partially Observed Hypoelliptic Stochastic Linear System
MathematicsIn this article, we address the problem of the parameter estimation of a partially observed linear hypoelliptic stochastic system in continuous time, a relevant problem in various fields, including mechanical and structural engineering.
Nilton O. B. Ávido +1 more
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Disuguaglianze di Harnack alla frontiera per equazioni di Kolmogorov
Bruno Pini Mathematical Analysis Seminar, 2011 We describe some recent results on the boundary regularity for hypoelliptic Kolmogorov equations. We prove boundary Harnack inequalities of the positive solutions to Kolmogorov equations vanishing on some relatively open subset of the boundary ...
Sergio Polidoro
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Harnack inequalities for hypoelliptic evolution operators: geometric issues and applications
Bruno Pini Mathematical Analysis Seminar, 2012 We consider linear second order Partial Differential Equations in the form of "sum of squares of Hörmander vector fields plus a drift term" on a given domain.
Sergio Polidoro
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Hopf bifurcation without parameters in deterministic and stochastic modeling of cancer virotherapy, part II. [PDF]
J Math Anal Appl, 2022 Phan TA, Tian JP.
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