Results 181 to 190 of about 1,576 (215)

High-Dimensional Multiresponse Partially Functional Linear Regression. [PDF]

Stat Med
Cai X, Cao J, Yan X, Zhao P.
europepmc   +1 more source

Privacy preserving optimization of communication networks. [PDF]

Nat Commun
Lei D, Lin X, Yu X, Zhao Z, Liu F, Shi Y, Zhuang S, Gao H, Barzel B, Boccaletti S.   +9 more
europepmc   +1 more source

The response and coupling coordination of soil moisture to vegetation in the Yellow River's primary tributaries: a multi-source data analysis of the Wanchuan River Basin. [PDF]

Front Plant Sci
Liu X, Li X, Zhang X, Yang J, Li Z, Zhang H, Liu X.   +6 more
europepmc   +1 more source

Construction of Arbitrary-Order Internal Coordinate Transformations to Improve Studies of Large-Amplitude Motions. [PDF]

J Phys Chem A
Boyer MA, Tabor DP.
europepmc   +1 more source

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Optimal non-isotropic gevrey exponents for sums of squares of vector fields

Communications in Partial Differential Equations, 1997
We prove sharp non-isotropic Gevrey hypoellipticiy for a class ofo partial differential operators that are sums of squares of real vector fields (and their generalizations) satisfying the Hormander bracket condition. These include the Baouendi-Goulaouic operator.
Bove Antonio, Tartakoff David
exaly   +2 more sources

Singular solutions for sums of squares of vector fields

Communications in Partial Differential Equations, 1991
Nicholas Hanges, A Alexandrou Himonas
exaly   +2 more sources

Harnack's Inequality for Sum of Squares of Vector Fields Plus a Potential

American Journal of Mathematics, 1993
We study quantitative properties of solutions of operators of the type \({\mathcal L}= \sum_{j=1}^ p X_ j^ 2\), where \(X_ j\) are smooth vector fields in \(\mathbb{R}^ n\) satisfying Hörmander's condition of hypoellipticity: rank Lie \([X_ 1,\dots, X_ p]=n\) at every \(x\in \mathbb{R}^ n\).
G. Citti, GAROFALO, NICOLA, E. Lanconelli   +2 more
openaire   +2 more sources

Liouville Type Theorems of Semilinear Equations with Square Sum of Vector Fields

Journal of Partial Differential Equations, 2005
Summary: Let \(X_j\), \(j=1,\dots,k\), be first-order smooth quasi-homogeneous vector fields on \(\mathbb{R}^n\) with the property that the dimension of the Lie algebra generated by these vector fields is \(n\) at \(x=0\) and \(X^*_j=-X_j\), \(j=1,\dots,k\). Let \(L=\sum^k_{i=1}X_i^2\).
Han, Yazhou, Luo, Xuebo, Niu, Pengcheng
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Wave Front Set of Solutions to Sums of Squares of Vector Fields

Memoirs of the American Mathematical Society, 2012
We study the (micro)hypoanalyticity and the Gevrey hypoellipticity of sums of squares of vector fields in terms of the Poisson–Treves stratification. The FBI transform is used. We prove hypoanalyticity for several classes of sums of squares and show that our method, though not general, includes almost every known hypoanalyticity result.
ALBANO, PAOLO, BOVE, ANTONIO
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