### ON CONNECTIONS BETWEEN GENERALIZED SOLUTIONS OF PDE'S OF THE FIRST ORDER

#### Abstract

The paper is devoted to investigation of connections between generalized solutions of the Cauchy problemfor the Hamilton-Jacobi-Bellman equation and the corresponding quasilinear equation of the first order in theof case n-dimentional state space

#### Keywords

Hamilton-Jacobi-Bellman equation; Quasilinear equation; Viscosity solution

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