%0 Journal Article
%A Azagra Rueda, Daniel
%A Ferrera Cuesta, Juan
%A López-Mesas Colomina, Fernando
%T A maximum principle for evolution Hamilton-Jacobi equations on Riemannian manifolds
%D 2006
%@ 0022-247X
%U https://hdl.handle.net/20.500.14352/49821
%X We establish a maximum principle for viscosity subsolutions and supersolutions of equations of the form u(t) + F(t, d(x)u) = 0, u(0, x) = u(0)(x), where u(0): M -> R is a bounded uniformly continuous function, M is a Riemannian manifold, and F: [0, infinity) x T*M -> R. This yields uniqueness of the viscosity solutions of such Hamilton-Jacobi equations.
%~