Well-posedness results for a class of semilinear time-fractional diffusion equations

被引：0
|
作者：
Bruno de Andrade
Vo Van Au
Donal O’Regan
Nguyen Huy Tuan
机构：
[1] Universidade Federal de Sergipe,Departamento de Matemática
[2] Duy Tan University,Institute of Fundamental and Applied Sciences
[3] Duy Tan University,Faculty of Natural Sciences
[4] National University of Ireland,School of Mathematics, Statistics and Applied Mathematics
[5] University of Science,Department of Mathematics and Computer Science
[6] Vietnam National University,undefined
来源：
Zeitschrift für angewandte Mathematik und Physik | 2020年 / 71卷
关键词：
Well-posedness; Blowup; Fractional calculus; Nonlinear problem; 26A33; 33E12; 35B40; 35K70; 44A20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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).
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