ON A CLASS OF ELLIPTIC PSEUDODIFFERENTIAL OPERATORS DEGENERATE ON A SUBMANIFOLD
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Publication:5648995
DOI10.1070/SM1971v013n02ABEH001033zbMath0238.47038OpenAlexW2046158776MaRDI QIDQ5648995
Publication date: 1971
Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/sm1971v013n02abeh001033
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Liouville type theorem for nonlinear elliptic system involving Grushin operator ⋮ Nonexistence of positive solutions to a system of elliptic inequalities involving the Grushin operator ⋮ Strong Unique Continuation Properties of Generalized Baouendi–Grushin Operators ⋮ The homogeneous polynomial solutions for the Grushin operator ⋮ Multiparameter perturbation theory of Fredholm operators applied to Bloch functions ⋮ Null controllability of a parabolic equation involving the Grushin operator in some multi-dimensional domains ⋮ Higher-order degenerate elliptic equations: spaces, operators, boundary- value problems ⋮ The tangent space in sub-Riemannian geometry ⋮ Unnamed Item ⋮ Equations with nonnegative characteristic form. I ⋮ Equations with nonnegative characteristic form. II ⋮ Absence of positive eigenvalues for a class of subelliptic operators ⋮ On stable solutions to a weighted degenerate elliptic equation with advection terms ⋮ ON THE TRANSITION DENSITY FUNCTION OF THE DIFFUSION PROCESS GENERATED BY THE GRUSHIN OPERATOR ⋮ The inverse, the heat semigroup, Liouville's theorems and the spectrum for the Grushin operator ⋮ Regularity and exponential growth of pullback attractors for semilinear parabolic equations involving the Grushin operator ⋮ Strong unique continuation property for fourth order Baouendi-Grushin type subelliptic operators with strongly singular potential ⋮ Liouville-type theorem for a nonlinear sub-elliptic system involving \(\Delta_{\lambda}\)-Laplacian and advection terms ⋮ A Berestycki–Lions type result for a class of degenerate elliptic problems involving the Grushin operator ⋮ A Brézis-Nirenberg type problem for a class of degenerate elliptic problems involving the Grushin operator ⋮ Existence of the solution for a class of the semilinear degenerate elliptic equation involving the Grushin operator in R2$\mathbb {R}^2$: The interaction between Grushin's critical exponent and exponential growth ⋮ A class of sums of squares with a given Poisson-Trèves stratification ⋮ Existence of a solution to the inhomogeneous equation with the one-dimensional Schrödinger operator in the space of quickly decreasing functions ⋮ Structure of cohomology groups whose coefficients are microfunction solution sheaves of systems of pseudo-differential equations withmultiple characteristics, I ⋮ Hypoelliptic differential operators with double characteristics ⋮ Parametrices for pseudodifferential operators with multiple characteristics ⋮ Hypoellipticity for a class of operators with multiple characteristics ⋮ Hypoellipticity and higher order Levi conditions ⋮ Fundamental solution of a higher step Grushin type operator ⋮ AN APPLICATION OF THE PARTIAL MALLIAVIN CALCULUS TO BAOUENDI-GRUSHIN OPERATORS ⋮ The geometry of \(cc\)-balls and the constants in the ball-box theorem on Heisenberg group algebras ⋮ The minimum numbers of nodal domains of spherical Grushin-harmonics ⋮ Unnamed Item ⋮ Analyticity of solutions of semi-linear equations with double characteristics ⋮ The growth of \(H\)-harmonic functions on the Heisenberg group ⋮ On the dynamics of nonautonomous parabolic systems involving the Grushin operators ⋮ Gevery hypoellipticity of the grushin operators and the heat kernel method ⋮ Invariants associés à une classe d'opérateurs pseudodifférentiels et applications à l'hypoellipticité ⋮ Boundary value problems with oblique derivative ⋮ On the Gevrey hypo-ellipticity of sums of squares of vector fields. ⋮ On the analyticity of solutions to semilinear differential equations degenerated on a submanifold ⋮ On the classification of solutions to an elliptic equation involving the Grushin operator ⋮ Addition de variables et application à la régularité ⋮ Asymptotic behavior of the eigenvalues of the Schrödinger operator in thin closed tubes ⋮ Critical points and level sets of Grushin-harmonic functions in the plane ⋮ Hypoellipticity on the Heisenberg group ⋮ Exact solutions and branching of singularities for some hyperbolic equations in two variables ⋮ Local solvability for \(\square_b\) on degenerate CR manifolds and related systems ⋮ Problem of diffraction at a fine screen ⋮ Existence of solutions to non-homogeneous higher order differential equation in the Schwartz space ⋮ Asymptotic behavior of eigenvalues of the Laplace operator in thin infinite tubes ⋮ On the spectrum of an anharmonic oscillator ⋮ On a class of pseudodifferential operators with double characteristics ⋮ Analytic hypo-ellipticity and propagation of regularity for a system of microdifferential equations with non-involutory characteristics ⋮ Non-isotropic Gevrey hypoellipticity for Grushin operators. ⋮ Analytic hypo-ellipticity of a system of microdifferential equations with non-involutory characteristics ⋮ The inverse of a parameter family of degenerate operators and applications to the Kohn-Laplacian ⋮ Semilinear perturbation of powers of the mizohata operators ⋮ Propagation des singularités le long de courbes microbicaractéristiques pour des opérateurs pseudodifférentiels à caractéristiques doubles. 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