On almost periodic viscosity solutions to Hamilton ... - Google Sites

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Abstract. We prove the existence and uniqueness of Bohr almost periodic vis- cosity solution of the Cauchy problem for a
On almost periodic viscosity solutions to Hamilton-Jacobi equations Evgeniy Panov, Department of Mathematics, Novgorod State University Abstract We prove the existence and uniqueness of Bohr almost periodic viscosity solution of the Cauchy problem for a Hamilton-Jacobi equation with merely continuous hamiltonian. It is also shown that the additive subgroup generated by the spectrum of the solution does not increase in time. In the case of single space variable and non-degenerate hamiltonian we also prove the long time decay property of almost periodic viscosity solutions.

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