Article ID Journal Published Year Pages File Type
4612035 Journal of Differential Equations 2008 24 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis