A Gaussian upper bound for the fundamental solutions of a class of ultraparabolic equations

DOI10.1016/S0022-247X(03)00159-8zbMath1026.35056MaRDI QIDQ1399402

Andrea Pascucci, Sergio Polidoro

Publication date: 30 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

second order partial differential equationsGaussian estimatesequation in divergence form

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Fundamental solutions to PDEs (35A08) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70)

Related Items (12)

The strong maximum principle and the Harnack inequality for a class of hypoelliptic non-Hörmander operators ⋮ THE MOSER'S ITERATIVE METHOD FOR A CLASS OF ULTRAPARABOLIC EQUATIONS ⋮ Curvature terms in small time heat kernel expansion for a model class of hypoelliptic Hörmander operators ⋮ Nash estimates and upper bounds for non-homogeneous Kolmogorov equations ⋮ Characterization of solutions of a class of ultraparabolic equations of the Kolmogorov type ⋮ Mathematical analysis and numerical methods for a PDE model of a stock loan pricing problem ⋮ On the fundamental solution for degenerate Kolmogorov equations with rough coefficients ⋮ Variational analysis for generalized Kolmogorov operators ⋮ Pointwise local estimates and Gaussian upper bounds for a class of uniformly subelliptic ultraparabolic operators ⋮ Analysis of an uncertain volatility model ⋮ Gaussian lower bounds for non-homogeneous Kolmogorov equations with measurable coefficients ⋮ Harnack inequalities and Gaussian estimates for a class of hypoelliptic operators

Cites Work

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• A new proof of Moser's parabolic Harnack inequality using the old ideas of Nash
• The Fokker-Planck equation. Methods of solution and applications.
• A global lower bound for the fundamental solution of Kolmogorov-Fokker-Planck equations
• The Dirichlet problem for a class of ultraparabolic equations
• Hypoelliptic second order differential equations
• Continuity of Solutions of Parabolic and Elliptic Equations
• Explicit Constants for Gaussian Upper Bounds on Heat Kernels
• A boundary value problem for a class of quasilinear ultraparabolic equations
• On Boltzmann and Landau equations
• Hölder regularity for a Kolmogorov equation
• THE MOSER'S ITERATIVE METHOD FOR A CLASS OF ULTRAPARABOLIC EQUATIONS
• A harnack inequality for parabolic differential equations
• Correetion to “A Harnack Inequality for Parabolic Differential Equations”
• Bounds for the fundamental solution of a parabolic equation
• The Fundamental Solution of a Degenerate Partial Differential Equation of Parabolic Type

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