ASYMPTOTIC LIPSCHITZ REGULARITY OF VISCOSITY SOLUTIONS OF HAMILTON-JACOBI EQUATIONS

作者：Li, Xia^*; Wang, Lin

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146(4): 1571-1583.

DOI：10.1090/proc/13816

• Hamilton-Jacobi equations
• viscosity solutions
• asymptotic Lipschitz regularity

For each continuous initial data phi(x) is an element of C(M, R), we obtain the asymptotic Lipschitz regularity of the viscosity solution of the following evolutionary Hamilton-Jacobi equation with convex and coercive Hamiltonians:
{partial derivative(t)u(x, t) + H(x, partial derivative(x)u(x, t)) = 0,
u(x, 0) = partial derivative(x).

• 出版日期2018-4
• 单位清华大学; 苏州科技大学