Summary
In this paper a quasilinear parabolic equation with strong nonlinearity is studied. This equation may have solutions which blow up in finite time, a global behaviour which has been studied extensively in recent years. By using the invariant property of equation and the scaling invariant solutions-self-similar solutions it is proved that the solutions of the Cauchy problem inR n with a class of specified initial values will blow up in finite time at a single point.
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Qi, Y.W. The asymptotics of blow-up solutions to a degenerate parabolic equation. Z. angew. Math. Phys. 42, 488–496 (1991). https://doi.org/10.1007/BF00946171
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DOI: https://doi.org/10.1007/BF00946171