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- W3196571866 abstract "We consider the higher order diffusion Schrodinger equation with a time nonlocal nonlinearity $$ ipartial_tu-(-Delta_{mathbb{H}})^mu =frac{lambda}{Gamma(alpha)}int_0^t(t-s)^{alpha-1} | u(s)|^{p},ds, $$ posed in ((eta, t) in mathbb{H}times(0,+infty)), supplemented with an initial data (u(eta,0)=f(eta)), where (m>1,,p>1,,0<alpha<1), and (Delta_{mathbb{H}}) is the Laplacian operator on the ((2N+1))-dimensional Heisenberg group (mathbb{H}). Then, we prove a blow up result for its solutions. Furthermore, we give an upper bound estimate of the life span of blow up solutions. For more information see https://ejde.math.txstate.edu/Volumes/2020/02/abstr.html" @default.
- W3196571866 created "2021-09-13" @default.
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- W3196571866 date "2020-01-07" @default.
- W3196571866 modified "2023-09-27" @default.
- W3196571866 title "Lifespan of solutions of a fractional evolution equation with higher order diffusion on the Heisenberg group" @default.
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- W3196571866 doi "https://doi.org/10.58997/ejde.2020.02" @default.
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