Uniqueness of the Solutions of u<sub>t</sub>=Δu<sup>m</sup> and u<sub>t</sub>=Δu<sup>m</sup>-u<sup>p</sup> with Initial Datum a Measure: the Fast Diffusion Case
Year: 1994
Journal of Partial Differential Equations, Vol. 7 (1994), Iss. 2 : pp. 143–159
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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1994-JPDE-5678
Journal of Partial Differential Equations, Vol. 7 (1994), Iss. 2 : pp. 143–159
Published online: 1994-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Porous medium equation