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math.AP2016
Well-posedness of Hamilton-Jacobi equations with Caputo's time-fractional derivative
Yoshikazu Giga, Tokinaga Namba
A Hamilton-Jacobi equation with Caputo's time-fractional derivative of order less than one is considered. The notion of a viscosity solution is introduced to prove unique existence…
math.AP2016★ 1 cited
Stability properties and large time behavior of viscosity solutions of Hamilton-Jacobi equations on metric spaces
Atsushi Nakayasu, Tokinaga Namba
We investigate asymptotic behaviors of a metric viscosity solution of a Hamilton-Jacobi equation defined on a general metric space in Gangbo-Świȩch sense. Our results include gener…