Gevrey hypo-ellipticity for sums of squares of vector fields: some examples

Geometric Analysis of PDE and Several Complex Variables - Contemporary Mathematics ◽

10.1090/conm/368/06772 ◽

2005 ◽

pp. 41-68 ◽

Author(s):

Antonio Bove

Keyword(s):

Vector Fields ◽

Sums Of Squares

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Chapter 12 Hardy and Rellich Inequalities for Sums of Squares of Vector Fields

Hardy Inequalities on Homogeneous Groups - Progress in Mathematics ◽

10.1007/978-3-030-02895-4_13 ◽

2019 ◽

pp. 501-543

Author(s):

Michael Ruzhansky ◽

Durvudkhan Suragan

Keyword(s):

Vector Fields ◽

Sums Of Squares

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General Sums of Squares of Real Vector Fields

Nonelliptic Partial Differential Equations - Developments in Mathematics ◽

10.1007/978-1-4419-9813-2_7 ◽

2011 ◽

pp. 71-79

Author(s):

David S. Tartakoff

Keyword(s):

Vector Fields ◽

Sums Of Squares ◽

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Some Non-Analytic-Hypoelliptic Sums\\ of Squares of Vector Fields

Bulletin of the American Mathematical Society ◽

10.1090/s0273-0979-1992-00258-6 ◽

1992 ◽

Vol 26 (1) ◽

pp. 137-141 ◽

Author(s):

Michael Christ

Keyword(s):

Vector Fields ◽

Sums Of Squares

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Local real analyticity of solutions for sums of squares of non-linear vector fields

Journal of Differential Equations ◽

10.1016/j.jde.2004.07.001 ◽

2005 ◽

Vol 213 (2) ◽

pp. 341-351 ◽

Author(s):

David S. Tartakoff ◽

Luisa Zanghirati

Keyword(s):

Vector Fields ◽

Sums Of Squares ◽

Linear Vector ◽

Real Analyticity ◽

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Global analytic hypoellipticity for a class of quasilinear sums of squares of vector fields

Geometric Analysis of PDE and Several Complex Variables - Contemporary Mathematics ◽

10.1090/conm/368/06778 ◽

2005 ◽

pp. 177-200 ◽

Author(s):

Makhlouf Derridj ◽

David S. Tartakoff

Keyword(s):

Vector Fields ◽

Sums Of Squares ◽

Analytic Hypoellipticity

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Wave Front Set of Solutions to Sums of Squares of Vector Fields

Memoirs of the American Mathematical Society ◽

10.1090/s0065-9266-2012-00663-0 ◽

2012 ◽

Vol 221 (1039) ◽

pp. 1 ◽

Author(s):

Paolo Albano ◽

Antonio Bove

Keyword(s):

Vector Fields ◽

Sums Of Squares ◽

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On the Gevrey regularity for sums of squares of vector fields, study of some models

Journal of Differential Equations ◽

10.1016/j.jde.2018.03.018 ◽

2018 ◽

Vol 265 (3) ◽

pp. 906-920 ◽

Author(s):

Gregorio Chinni

Keyword(s):

Vector Fields ◽

Sums Of Squares ◽

Gevrey Regularity

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Singular solutions for sums of squares of vector fields

Communications in Partial Differential Equations ◽

10.1080/03605309108820808 ◽

1991 ◽

Vol 16 (8-9) ◽

pp. 1503-1511 ◽

Author(s):

Nicholas Hanges ◽

A. Alexandrou Himonas

Keyword(s):

Vector Fields ◽

Sums Of Squares ◽

Singular Solutions

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Analytic Hypoellipticity for a New Class of Sums of Squares of Vector Fields in $${\mathcal {R}}^3$$ R 3

Journal of Geometric Analysis ◽

10.1007/s12220-016-9716-9 ◽

2016 ◽

Vol 27 (2) ◽

pp. 1237-1259 ◽

Author(s):

David S. Tartakoff

Keyword(s):

Vector Fields ◽

Sums Of Squares ◽

New Class ◽

Analytic Hypoellipticity

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Analytic Hypoellipticity at Non-Symplectic Poisson-Treves Strata for Certain Sums of Squares of Vector Fields

Journal of Geometric Analysis ◽

10.1007/s12220-008-9043-x ◽

2008 ◽

Vol 18 (4) ◽

pp. 1002-1021 ◽

Author(s):

Antonio Bove ◽

David S. Tartakoff

Keyword(s):

Vector Fields ◽

Sums Of Squares ◽

Analytic Hypoellipticity

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