Results 31 to 40 of about 474,728 (134)
On the Grushin operator and hyperbolic symmetry [PDF]
Complexity of geometric symmetry for differential operators with mixed homogeniety is examined here. Sharp Sobolev estimates are calculated for the Grushin operator in low dimensions using hyperbolic symmetry and conformal geometry.
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A non‐contact computer vision method enables monitoring and quantitative comparison of vessel‐specific CO release kinetics from structurally diverse surrogates in two‐chamber COware reactors, revealing that surrogate reactivity scores correlate with carbonylation reaction outcomes.
Kristin Donnachie +4 more
wiley +2 more sources
Non-isotropic Gevrey Hypoellipticity for Grushin Operators
We shall determine non-isotropic Gevrey exponents for general Grushin operators based on the results given in the paper [26], where a method to determine isotropic (worst) Gevrey exponents was given. The ideas of the bracket calculus given in the paper [2] and FBI-transformation given in the paper [5] are also useful.
Hashimoto, Yoshiaki +2 more
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Hardy inequalities for a magnetic Grushin operator with aharonov-bohm type magnetic field [PDF]
A version of the Aharonov–Bohm magnetic field for a Grushin subelliptic operator is introduced; then its quadratic form is shown to satisfy an improved Hardy ...
Laptev, A. +3 more
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On the transition density function of the diffusion process generated by the Grushin operator
The short-time asymptotic behavior of the transition density function of the diffusion process generated by the Grushin operator with parameter γ > 0 will be investigated, by using its explicit expression in terms of expectation.
タニグチ, セツオ +3 more
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SAK Principle for a class of Grushin-type operators
We prove Fefferman's SAK Principle for a class of hypoelliptic operators on \mathbb R^2 whose nonnegative symbol vanishes anisotropically on the characteristic manifold.
MANICCIA, LIDIA, MUGHETTI, MARCO
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On some operator-valued Fourier pseudo-multipliers associated to Grushin operators [PDF]
This is a continuation of our work [BBGG23, BBGG22] where we have initiated the study of sparse domination and quantitative weighted estimates for Grushin pseudo-multipliers.
Basak, Riju +3 more
core +1 more source
Nonlinear Liouville theorems for Grushin and Tricomi operators
The paper concerns with necessary conditions for solvability of the inequality \[ L(x,y,D_x,D_y)u \geq | x|^{-\theta_1}| y|^{-\theta_2} | u|^q, \quad x\in \mathbb R^d,\;y\in \mathbb R^k, \tag{1} \] where \(L\) is a quasi-homogeneous operator, \[ L(f(\lambda^{\delta_1}.,\lambda ^{\delta_2}.))(x,y)=\lambda^h(Lf)(\lambda^{\delta_1}x, \lambda^{\delta_2}y).
D'AMBROSIO, Lorenzo, LUCENTE, SANDRA
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A Bench‐Stable Fluorophosphine Nickel(0) Complex and Its Catalytic Application
We herein present the synthesis of a bench‐stable Ni(0) complex, [Ni(PFPh2)4], stabilized by vastly underexplored fluorophosphine ligands. The application of [Ni(PFPh2)4] in Suzuki–Miyaura and Kumada‐Tamao‐Corriu cross‐coupling reactions as well as in Buchwald–Hartwig C─N bond formation reactions, indicates its promising potential as alternative to ...
Franziska Flecken +3 more
wiley +2 more sources
Gevrey Hypoellipticity for Grushin Operators
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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