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- W1970349871 abstract "We study the long-time behavior of solutions of the Cauchy problem <p align=center> $u_t=Delta u - (u^q)_y- u^p, quad p, q >1,$ <p align=left class=times> defined in the domain $Q={ (x, t): x=(x, y) in mathbf{R}^{N-1} times mathbf{R}, t >0 }$ with nonnegative initial data in $L^1( mathbf{R}^N)$. We completely classify the asymptotic profiles of solutions as $t to infty$ according to the parameters $p$ and $q$. We use rescaling transformations and a priori estimates." @default.
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- W1970349871 date "1996-01-01" @default.
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- W1970349871 title "The asymptotic behavior of solutions of a semilinear parabolic equation" @default.
- W1970349871 doi "https://doi.org/10.3934/dcds.1996.2.483" @default.
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