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- W3204143772 abstract "In this paper, we consider a class of quasi-linear parabolic equations with variable exponents, $$aleft( x,tright) u_{t}-Delta _{mleft( .right) }u=f_{pleft( .right)}left( uright)$$ in which $f_{pleft( .right)}left( uright)$ the source term, $a(x,t)>0$ is a nonnegative function, and the exponents of nonlinearity $m(x)$, $p(x)$ are given measurable functions. Under suitable conditions on the given data, a finite-time blow-up result of the solution is shown if the initial datum possesses suitable positive energy, and in this case, we precise estimate for the lifespan $T^{ast }$ of the solution. A blow-up of the solution with negative initial energy is also established." @default.
- W3204143772 created "2021-10-11" @default.
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- W3204143772 date "2021-09-28" @default.
- W3204143772 modified "2023-09-27" @default.
- W3204143772 title "Global nonexistence and blow-up results for a quasi-linear evolution equation with variable-exponent nonlinearities" @default.
- W3204143772 doi "https://doi.org/10.24193/subbmath.2021.3.11" @default.
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