Higher Dimensional Blow Up for Semilinear Parabolic Equations
- 1 January 1992
- journal article
- research article
- Published by Taylor & Francis in Communications in Partial Differential Equations
- Vol. 17 (9-10) , 1567-1596
- https://doi.org/10.1080/03605309208820896
Abstract
We consider the Cauchy problem where is a continuous, nonnegative and bounded function. It is well known that the solution may blow up in a finite time. We shall be concerned here with the asymptotic behaviour of as blow up is approached. In particular the final profile of near blow up points is studied, and the fact that the blow up set has zero Lebesgue measure is proved.Keywords
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