Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4612035 | Journal of Differential Equations | 2008 | 24 Pages |
Abstract
We extend to the singular case the results of [E. Henriques, J.M. Urbano, Intrinsic scaling for PDEs with an exponential nonlinearity, Indiana Univ. Math. J. 55 (5) (2006) 1701–1721] concerning the regularity of weak solutions of the porous medium equation with variable exponent. The method of intrinsic scaling is used to show that local weak solutions are locally continuous.
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