Electron. J. Diff. Eqns., Vol. 2006(2006), No. 47, pp. 1-15.

Viscosity solutions of the Cauchy problem for second-order nonlinear partial differential equations in Hilbert spaces

Tran Van Bang, Tran Duc Van

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.

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Tran Van Bang
Department of Mathematics
Hanoi pedagogical University number 2, Vietnam
email: bangtv75@yahoo.com
  Tran Duc Van
Hanoi Institute of Mathematics
P.O. Box 631, BoHo, Hanoi, Vietnam
email: tdvan@math.ac.vn

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