BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Well-posedness of fully nonlinear PDEs with Caputo time fractional derivatives Namba, Tokinaga


We will introduce an extended notion of viscosity solutions for initial-boundary value problems of second order fully nonlinear PDEs that include Caputo time fractional derivatives of order less than one. As is the integer-order case, the unique existence is established by the comparison principle and Perron's method. Stability with respect to the order of time derivative is provided by the half-relaxed limit method.

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