Volume 7, Issue 2
Uniqueness of the Solutions of ut=Δum and ut=Δum-up with Initial Datum a Measure: the Fast Diffusion Case

J. Part. Diff. Eq., 7 (1994), pp. 143-159.

Published online: 1994-07

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• Abstract
In this paper, we study the Cauchy problems u_t = Δu^m \quad u(x, 0) = μ and u_t = Δu^m - u^p \quad u(x, 0) = μ where p > 0, m > (1 - \frac{α}{n})^+ and μ is a finite Radon measure. We prove the uniqueness of solution and the existence of solution.
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