We consider a class of doubly nonlinear parabolic equations used in modeling free boundaries with a finite speed of propagation. We prove that nonnegative weak solutions satisfy a smoothing property; this is a well-known feature in some particular cases such as the porous medium equation or the parabolic p-Laplace equation. The result is obtained via regularization and a comparison theorem. © 2005 American Mathematical Society.
|Original language||English (US)|
|Number of pages||15|
|Journal||Transactions of the American Mathematical Society|
|State||Published - Aug 1 2005|
ASJC Scopus subject areas