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• W2952500312 abstract "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 of a solution to the initial value problem under periodic boundary conditions. For this purpose comparison principle as well as Perron's method is established. Stability with respect to the order of derivative as well as the standard one is studied. Regularity of a solution is also discussed. Our results in particular apply to a linear transport equation with time-fractional derivatives with variable coefficients." @default.
• W2952500312 created "2019-06-27" @default.
• W2952500312 creator A5056828006 @default.
• W2952500312 creator A5071130497 @default.
• W2952500312 date "2016-12-16" @default.
• W2952500312 modified "2023-10-01" @default.
• W2952500312 title "Well-posedness of Hamilton-Jacobi equations with Caputo's time-fractional derivative" @default.
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• W2952500312 hasPublicationYear "2016" @default.
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