Well-posedness results for a class of semilinear time-fractional diffusion equations
https://link.springer.com/article/10.1007%2Fs00033-020-01348-yPublisher, magazine: ,
Publication year: 2020
Lưu Trích dẫn Chia sẻAbstract
In this paper, we discuss an initial value problem for the semilinear time-fractional diffusion equation. The local well-posedness (existence and regularity) is presented when the source term satisfies a global Lipschitz condition. The unique continuation of solution and finite time blowup result are presented when the reaction terms are logarithmic functions (local Lipschitz types).
Tags: Well-posedness, Blowup, Fractional calculus, Nonlinear problem
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Well-posedness results for a class of semilinear time-fractional diffusion equations