Strong Unique Continuation Properties of Generalized Baouendi–Grushin Operators

DOI10.1080/03605300500532905zbMath1117.35019OpenAlexW2026473091MaRDI QIDQ5294657

Dimiter Vassilev, Nicola Garofalo

Publication date: 25 July 2007

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300500532905

zbMATH Keywords

unique continuationBaouendi-Grushin operatorcontrol of the order of zero

Mathematics Subject Classification ID

Perturbations in context of PDEs (35B20) Continuation and prolongation of solutions to PDEs (35B60) Subelliptic equations (35H20)

Related Items

The homogeneous polynomial solutions for the Grushin operator, Strong solutions to a strongly degenerate semilinear parabolic equation, Strong unique continuation of sub-elliptic operator on the Heisenberg group, Several logarithmic Caffarelli-Kohn-Nirenberg inequalities and applications, Carleman estimates for Baouendi–Grushin operators with applications to quantitative uniqueness and strong unique continuation, \(P\)-Laplace equation for the Grushin type operator, On the nodal set of solutions to degenerate or singular elliptic equations with an application to \(s\)-harmonic functions, Positive solutions of anisotropic Yamabe-type equations in $\mathbb {R}^n$, THE UNIQUE CONTINUATION PROPERTY OF -HARMONIC FUNCTIONS ON THE HEISENBERG GROUP, A note on the stability of local zeta functions, Unique continuation properties for generalized Baouendi-Grushin operators with singular weights, The minimum numbers of nodal domains of spherical Grushin-harmonics, Carleman estimates for a class of variable coefficient degenerate elliptic operators with applications to unique continuation, Sub-Riemannian Geometry and Hypoelliptic Operators, Asymptotic estimates and nonexistence results for critical problems with Hardy term involving Grushin-type operators, \(L^p\) estimates for Baouendi-Grushin operators, Critical Hardy-Sobolev exponents problem with Grushin operator and Hardy-type singularity terms, On the strong unique continuation property of a degenerate elliptic operator with Hardy-type potential

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