Global well-posedness and blow-up solutions of the Cauchy problem for a time-fractional superdiffusion equation View Full Text


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Article Info

DATE

2019-03

AUTHORS

Quanguo Zhang, Yaning Li

ABSTRACT

We study the following time-fractional nonlinear superdiffusion equation 0CDtαu-▵u=|u|p,x∈RN,t>0,u(0,x)=u0(x),ut(0,x)=u1(x),x∈RN,where 1<α<2, p>1, u0,u1∈Lq(RN) (q>1) and 0CDtαu denotes the Caputo fractional derivative of order α. The critical exponents of this problem are determined when u1≡0 and u1≢0, respectively.

PAGES

271-303

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00028-018-0475-x

DOI

http://dx.doi.org/10.1007/s00028-018-0475-x

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1107666231


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