On the initial-boundary value problems for a degenerate parabolic equation
Volume 81 / 2008
Banach Center Publications 81 (2008), 197-211
MSC: Primary 35K65; Secondary 35K60.
DOI: 10.4064/bc81-0-13
Abstract
For an equation of the type of porous media equation the Cauchy–Dirichlet and Cauchy–Neumann problems are considered. The existence and uniqueness results in the case of $L^{\infty}$ initial and boundary data are given.