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| SOURCE--TYPE SOLUTIONS OF A QUASILINEAR DEGENERATE PARABOLIC EQUATION WITH ABSORPTION |
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Citation： |
Zhao Junning.SOURCE--TYPE SOLUTIONS OF A QUASILINEAR DEGENERATE PARABOLIC EQUATION WITH ABSORPTION[J].Chinese Annals of Mathematics B,1994,15(1):89~104 |
| Page view： 1071
Net amount： 727 |
Authors： |
Zhao Junning; |
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| Abstract： |
The existence and nonexistence of non--trivial solutions for
the Cauchy problem of the form
$$\align
&u_t=\text{div }(|\nabla u|^{p-2}\nabla u)-u^q,\&u(x,0)=0,\qquad x\in \R^N\setminus \{0\}
\endalign
$$
are studied. |
Keywords： |
Quasilinear degenerate parabolic equation,Cauchy problem,Non--trivial solution. |
Classification： |
35K65 |
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