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Chen, Pengyu; Ma, Weifeng; Tao, Shu; Zhang, Kaibin

Blowup and global existence of mild solutions for fractional extended Fisher-Kolmogorov equations. (English) Zbl 07486814

Int. J. Nonlinear Sci. Numer. Simul. 22, No. 6, 641-656 (2021).
Summary: In this paper, we investigate the blowup, as well as global existence, and uniqueness of mild solutions for the initial-boundary value problem to a class of fractional extended Fisher-Kolmogorov equations with a general nonlinear term. We establish a general framework to find the global mild solutions for fractional extended Fisher-Kolmogorov equations with general nonlinear function, which will provide an effective way to deal with such problems. The results obtained in this paper can be considered as a contribution to this nascent field.

MSC:

35R11 Fractional partial differential equations
47J35 Nonlinear evolution equations

Keywords:

fractional extended Fisher-Kolmogorov equation; global existence; initial-boundary value problem; mild solution
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References:

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