Results 31 to 40 of about 453,228 (135)
Weighted Caffarelli–Kohn–Nirenberg type inequalities related to Grushin type operators
Advances in Nonlinear Analysis, 2016 We consider the Grushin type operator on ℝxd×ℝyk{\mathbb{R}^{d}_{x}\times\mathbb{R}^{k}_{y}} of the ...
Song Manli, Li Wenjuan
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Sobolev spaces and boundary-value problems for the curl and gradient-of-divergence operators
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020 We study boundary value and spectral problems in a bounded domain $G$ with smooth border for operators $\operatorname{rot} +\lambda I$ and $\nabla \operatorname{div} +\lambda I$ in the Sobolev spaces. For $\lambda\neq 0$ these operators are reducible (by
Romen Semenovich Saks
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Non-isotropic Gevrey Hypoellipticity for Grushin Operators
Publications of the Research Institute for Mathematical Sciences, 2002 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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Sparse Bounds for Pseudo-multipliers Associated to Grushin Operators, I
Journal of Fourier Analysis and Applications, 2023 39 ...
Sayan Bagchi +3 more
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Liouville-type theorem for Kirchhoff equations involving Grushin operators
Boundary Value Problems, 2020 The aim of this paper is to prove the Liouville-type theorem of the following weighted Kirchhoff equations: 0.1 − M ( ∫ R N ω ( z ) | ∇ G u | 2 d z ) div G ( ω ( z ) ∇ G u ) = f ( z ) e u , z = ( x , y ) ∈ R N = R N 1 × R N 2 $$\begin{aligned} \begin ...
Yunfeng Wei, Caisheng Chen, Hongwei Yang
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SAK Principle for a class of Grushin-type operators
Revista Matemática Iberoamericana, 2006 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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A Bench‐Stable Fluorophosphine Nickel(0) Complex and Its Catalytic Application
Angewandte Chemie, Volume 137, Issue 24, June 10, 2025.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
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Nonlinear Liouville theorems for Grushin and Tricomi operators
Journal of Differential Equations, 2003 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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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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The restriction theorem for the Grushin operators
, 2014 We study the Grushin operators acting on $\mathbb{R}^{d_1}_x \times \mathbb{R}^{d_2}_t$ and defined by the formula \begin{equation*} L=-\overset{d_1}{\underset{j=1}{\sum}}\partial_{x_j}^2-\left(\overset{d_1}{\underset{j=1}{\sum}}|x_j|^2\right)\overset{d_2}{\underset{k=1}{\sum}}\partial_{t_k}^2.
Liu, Heping, Song, Manli
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