Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4612834 | Journal of Differential Equations | 2009 | 16 Pages |
Abstract
We bound the modulus of continuity of solutions to quasilinear parabolic equations in one space variable in terms of the initial modulus of continuity and elapsed time. In particular we characterize those equations for which the Lipschitz constants of solutions can be bounded in terms of their initial oscillation and elapsed time.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis