Subelliptic Hamilton-Jacobi equations: the coercive evolution case

DOI10.1080/00036811.2010.530257zbMath1329.35122OpenAlexW2003918045WikidataQ58258815 ScholiaQ58258815MaRDI QIDQ4908177

Marco Biroli

Publication date: 4 March 2013

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2010.530257

zbMATH Keywords

sub-Riemannian geometryCarnot groupCrandall-Ligget-Pazy theoremviscosity subsolution and supersolution

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Initial value problems for nonlinear first-order PDEs (35F25) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Sub-Riemannian geometry (53C17) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21) Comparison principles in context of PDEs (35B51)

Related Items (2)

Almost periodic viscosity solutions of nonlinear evolution equations in Carnot groups ⋮ Stochastic Homogenization for Functionals with Anisotropic Rescaling and Noncoercive Hamilton--Jacobi Equations

Cites Work

• Perron's method for Hamilton-Jacobi equations
• On solving certain nonlinear partial differential equations by accretive operator methods
• The evolution operator solution of the Cauchy problem for the Hamilton- Jacobi equation
• Homogenization of Hamilton-Jacobi equations in the Heisenberg group
• Existence of viscosity solutions of Hamilton-Jacobi equations
• Metric Hopf-Lax formula with semicontinuous data
• A VERSION OF THE HOPF-LAX FORMULA IN THE HEISENBERG GROUP
• Approximation of solutions of Hamilton-Jacobi equations on the Heisenberg group
• Comparison and existence results for evolutive non-coercive first-order Hamilton-Jacobi equations
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
• Nonlinear evolution equations in Banach spaces
• Surface measures in Carnot-Carathéodory spaces

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