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Acta Mathematica Vietnamica

HOPF-LAX-OLEINIK TYPE FORMULA FOR MULTI-TIME HAMILTON-JACOBI EQUATIONS

icon-email NGUYEN HUU THO

Abstract

We consider the Cauchy problem for multi-time Hamilton-Jacobi equations whose Hamiltonians depend on the unknown function and its spacial gradient. We obtain an explicit formula for viscosity solution in a special case.

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Viện Hàn lâm Khoa học và Công nghệ Việt Nam Hội Toán học Việt Nam Viện Nghiên cứu Cao cấp về toán MathScinet Arxiv