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- W2224250961 abstract "We consider a degenerate parabolic equation associated with the fractional $% p $-Laplace operator $left( -Delta right) _{p}^{s}$ ($pgeq 2$, $sin left( 0,1right) $) and a monotone perturbation growing like $leftvert srightvert ^{q-2}s,$ $q>p$ and with bad sign at infinity as $leftvert srightvert rightarrow infty $. We show the existence of locally-defined strong solutions to the problem with any initial condition $u_{0}in L^{r}(Omega )$ where $rgeq 2$ satisfies $r>N(q-p)/sp$. Then, we prove that finite time blow-up is possible for these problems in the range of parameters provided for $r,p,q$ and the initial datum $u_0$." @default.
- W2224250961 created "2016-06-24" @default.
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- W2224250961 date "2015-09-10" @default.
- W2224250961 modified "2023-10-03" @default.
- W2224250961 title "On some degenerate non-local parabolic equation associated with the fractional $p$-Laplacian" @default.
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