Acta Mathematica Vietnamica
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HOPF-LAX-OLEINIK TYPE FORMULA FOR MULTI-TIME HAMILTON-JACOBI EQUATIONS
NGUYEN HUU THOpp. 275-287
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.