Results 71 to 80 of about 4,782 (151)
Nonlinear Hypoellipticity of Infinite Type
Funkcialaj Ekvacioj, 2007 Summary: We study the regularity of weak solutions for a class of second order semilinear infinitely degenerate elliptic equations. We get the regularity of weak solutions up to the boundary for Dirichlet problem, by noting the logarithmic regularity estimate for a linear principal part. In relation to this linear part, we also show the controllability
Xu, Chao-Jiang, Morimoto, Yoshinori
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Gevrey Hypoellipticity for Grushin Operators
Publications of the Research Institute for Mathematical Sciences, 1997 The author studies analytic and Gevrey hypoellipticity of operators of the type \[ P= \sum C_{\alpha\beta\gamma} y^\alpha D^\beta_x D^\gamma_y, \] where \(x\in \mathbb{R}^n\), \(y\in\mathbb{R}^m\), and the sum is finite, satisfying suitable conditions as in \textit{V. V. Grušin} [Math. USSR Sbornik 17, 497-514 (1972; 255.35022)].
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Characteristic Laplacian in sub-Riemannian geometry
, 2013 We study a Laplacian operator related to the characteristic cohomology of a smooth manifold endowed with a distribution. We prove that this Laplacian does not behave very well: it is not hypoelliptic in general and does not respect the bigrading on forms
Daniel, Jeremy, Ma, Xiaonan
core
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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Duality and hypoellipticity: one-dimensional case studies
, 2017 To visualize how the randomness of a Markov process X is spreading, one can consider subset-valued dual processes I constructed by intertwining. In the framework of one-dimensional diffu-sions, we investigate the behavior of such dual processes I in the ...
L. Miclo
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Hypoellipticity on Cauchy-Riemann Manifolds [PDF]
Transactions of the American Mathematical Society, 1992 Using a recent homotopy formula by Trèves, it is shown that the existence of ( q + 1 ) (q + 1) -dimensional holomorphic supporting manifolds is a sufficient condition for the hypoellipticity on level q q and n − q n - q of a tangential ...
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Parallels between control PDE's (Partial Differential Equations) and systems of ODE's (Ordinary Differential Equations) [PDF]
System theorists understand that the same mathematical objects which determine controllability for nonlinear control systems of ordinary differential equations (ODEs) also determine hypoellipticity for linear partial differentail equations (PDEs ...
Hunt, L. R., Villarreal, Ramiro
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Hypoelliptic functional inequalities
Mathematische ZeitschriftAbstractIn this paper we derive a variety of functional inequalities for general homogeneous invariant hypoelliptic differential operators on nilpotent Lie groups. The obtained inequalities include Hardy, Sobolev, Rellich, Hardy–Littllewood–Sobolev, Gagliardo–Nirenberg, Caffarelli–Kohn–Nirenberg and Heisenberg–Pauli–Weyl type uncertainty inequalities ...
Ruzhansky, M, Yessirkegenov, N
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Horizontally Affine Functions on Step-2 Carnot Algebras. [PDF]
J Geom Anal, 2023 Le Donne E, Morbidelli D, Rigot S.
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Active thermal cloaking and mimicking. [PDF]
Proc Math Phys Eng Sci, 2021 Cassier M +3 more
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