Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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

TRAN VAN BANG

pp. 149-165

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.