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Acta Mathematica Vietnamica

THE UNIQUENESS OF VISCOSITY SOLUTIONS OF SECOND ORDER NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS IN A HILBERT SPACE OF TWO-DIMENSIONAL FUNCTIONS

icon-email TRAN VAN BANG

Abstract

In this paper we prove the uniqueness of viscosity solutions of the second order nonlinear partial differential equations associated with the Stokes and Euler operators in a Hilbert space of two-dimensional functions.