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- W1700463285 abstract "We prove the growth rate of global solutions of the equation $u_t=Delta u-u^{-nu}$ in $R^ntimes (0,infty)$, $u(x,0)=u_0>0$ in $R^n$, where $nu>0$ is a constant. More precisely for any $0 1$. We also find various conditions on the initial value for the solution to extinct in a finite time and obtain the corresponding decay rate of the solution near the extinction time." @default.
- W1700463285 created "2016-06-24" @default.
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- W1700463285 date "2008-08-06" @default.
- W1700463285 modified "2023-09-27" @default.
- W1700463285 title "Growth rate and extinction rate of a reaction diffusion equation with a singular nonlinearity" @default.
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