Subelliptic Hamilton-Jacobi equations: the coercive evolution case

被引：4

作者：

Biroli, Marco ^{[1
,2
]}

机构：

[1] Politecn Milan, Dipartimento Matemat F Brioschi, I-20133 Milan, Italy

[2] Accademia Nazl Sci Detta XL, Rome, Italy

来源：

APPLICABLE ANALYSIS | 2013年 / 92卷 / 01期

关键词：

partial differential equations in Carnot groups; viscosity solutions of Hamilton-Jacobi equations; regularity; HOPF-LAX FORMULA; HEISENBERG-GROUP; VISCOSITY SOLUTIONS; BANACH SPACES; EXISTENCE;

D O I：

10.1080/00036811.2010.530257

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence and uniqueness of a viscosity (Lipschitz) solution relative to bounded uniformly continuous (Lipschitz) initial data for a subelliptic evolution HamiltonJacobi equation with a coercive Hamiltonian. Moreover we also prove a comparison property for viscosity sub- and supersolutions.

引用

页码：1 / 14

页数：14

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