Results 11 to 20 of about 453,228 (135)

Riesz transforms and multipliers for the Grushin operator [PDF]

Journal d'Analyse Mathématique, 2013
14 ...
Jotsaroop, K., Sanjay, P. K., Thangavelu, S.   +2 more
openaire   +4 more sources

Global existence and blow-up of solutions to pseudo-parabolic equation for Baouendi-Grushin operator [PDF]

Open Mathematics
In this note, we study a global existence and blow-up of the positive solutions to the initial-boundary value problem of the nonlinear pseudo-parabolic equation for the Baouendi-Grushin operator.
Dukenbayeva Aishabibi
doaj   +3 more sources

On local dispersive and Strichartz estimates for the Grushin operator [PDF]

, 2023
Let $G=-Δ-|x|^2\partial_{t}^2$ denote the Grushin operator on $\mathbb{R}^{n+1}$. The aim of this paper is two fold. In the first part, due to the non-dispersive phenomena of the Grushin-Schrödinger equation on $\mathbb{R}^{n+1}$, we establish a local dispersive estimate by defining the Grushin-Schrödinger kernel on a suitable domain. As a corollary we
Ghosh, Sunit, Mondal, Shyam Swarup, Swain, Jitendriya   +2 more
core   +4 more sources

Global attractor for a semilinear parabolic equation involving Grushin operator [PDF]

Electronic Journal of Differential Equations, 2008
The aim of this paper is to prove the existence of a global attractor for a semilinear degenerate parabolic equation involving the Grushin operator.
Phan Quoc Hung, Tran Dinh Ke, Trinh Tuan Phong, Cung The Anh   +3 more
doaj   +2 more sources

Liouville type theorems for elliptic equations involving Grushin operator and advection [PDF]

Electronic Journal of Differential Equations, 2017
In this article, we study the equation $$ -G_{\alpha}u+\nabla_G w\cdot\nabla_Gu=\|\mathbf{x}\|^{s}|u|^{p-1}u , \quad \mathbf{x}=(x,y)\in \mathbb{R}^N= \mathbb{R}^{N_1}\times \mathbb{R}^{N_2}, $$ where $ G_\alpha$ (resp., $\nabla_G$) is Grushin ...
Anh Tuan Duong, Nhu Thang Nguyen
doaj   +3 more sources

Riesz transforms and multipliers for the Bessel-Grushin operator [PDF]

Journal d'Analyse Mathématique, 2016
33 ...
Almeida, Victor, Betancor, Jorge J., Castro, Alejandro J., Sadarangani, Kishin   +3 more
core   +6 more sources

The kernel space of linear operator for a class of Grushin equation

Topological Methods in Nonlinear Analysis
In this paper, we concern the kernel of linear operator for a class of Grushin equation. First, we study the kernel space of linear operator for a general Grushin equation. Then, we provide an exact expression for the kernel space of linear operator associated with a special Grushin equation.
Yawei Wei, Xiaodong Zhou
openaire   +3 more sources

Regularity and Exponential Growth of Pullback Attractors for Semilinear Parabolic Equations Involving the Grushin Operator [PDF]

Abstract and Applied Analysis, 2012
Considered here is the first initial boundary value problem for a semilinear degenerate parabolic equation involving the Grushin operator in a bounded domain Ω.
Nguyen Dinh Binh
doaj   +2 more sources

Existence result for a semilinear parametric problem with Grushin type operator

Electronic Journal of Differential Equations, 2005
Using a varational method, we prove an existence result depending on a parameter, for a semilinear system in potential form with Grushin type operator.
Nguyen Minh Chuong, Tran Dinh Ke
doaj   +1 more source

On L2-boundedness of pseudo-multipliers associated to the Grushin operator [PDF]

Journal of Functional Analysis, 2023
Subsection 2.1 is new, discussing the notion of pseudo-multipliers for non-negative self-adjoint operators on $\sigma$-finite measure spaces. We show its relation with that for specific operators such as the Grushin operator. This discussion is particularly helpful in understanding our definition of symbol classes. Related changes occur in Subsection 1.
Sayan Bagchi, Rahul Garg
openaire   +3 more sources