Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 47, pp. 1-15.

Title: Viscosity solutions of the Cauchy problem for second-order
       nonlinear partial differential equations in Hilbert spaces
       
Authors: Tran Van Bang (Hanoi pedagogical Univ., Vietnam)
         Tran Duc Van  (Hanoi Institute of Math., Vietnam)

Abstract: 
 In this paper we prove the existence and uniqueness of viscosity
 solutions of the Cauchy problem for the second order nonlinear
 partial differential equations in Hilbert spaces.

Submitted November 2, 2005. Published April 11, 2006.
Math Subject Classifications: 35D99.
Key Words: Hamilton-Jacobi equations; viscosity solutions.