Regularity properties of solutions of a class of elliptic-parabolic nonlinear Levi type equations

DOI10.1090/S0002-9947-02-02928-8zbMath1008.35030OpenAlexW1775348751MaRDI QIDQ2782665

Annamaria Montanari, Giovanna Citti

Publication date: 8 April 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-02-02928-8

zbMATH Keywords

fundamental solutionsLie groupsfreezing methodbootstrap argument

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) Degenerate elliptic equations (35J70) Analysis on real and complex Lie groups (22E30)

Related Items

Fundamental solutions for sum of squares of vector fields operators with C1,α coefficients, Quasispaces induced by vector fields measurable in \(\mathbb R^3\), Nonsmooth Hörmander vector fields and their control balls, Unnamed Item, The Levi Monge-Ampère equation: smooth regularity of strictly Levi convex solutions, Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups , n > 1, Basic properties of nonsmooth Hörmander's vector fields and Poincaré's inequality

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Real hypersurfaces in Kähler manifolds
• Balls and metrics defined by vector fields. I: Basic properties
• Weak solutions for the Levi equation and envelope of holomorphy
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Hypoelliptic differential operators and nilpotent groups
• \(C^{\infty }\) regularity of solutions of an equation of Levi's type in \(\mathbb{R}^{2n+1}\)
• Flow of real hypersurfaces by the trace of the Levi form
• Evolution of special subsets of \(\mathbb C^2\)
• On the regularity of solutions to a nonlinear ultraparabolic equation arising in mathematical finance
• Hypoelliptic second order differential equations
• Envelopes of Holomorphy of Certain 2-Spheres in C 2*
• On the Envelope of Holomorphy of a 2-Sphere in ℂ 2
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• REAL HYPERSURFACES EVOLVING BY LEVI CURVATURE: SMOOTH REGULARITY OF SOLUTIONS TO THE PARABOLIC LEVI EQUATION
• Analytic estimates for solutions of the Levi equations