arXiv Analytics

Sign in

arXiv:1306.1281 [math.AP]AbstractReferencesReviewsResources

Time-interior gradient estimates for quasilinear parabolic equations

Ben Andrews, Julie Clutterbuck

Published 2013-06-06Version 1

Bounded smooth solutions of the Dirichlet and Neumann problems for a wide variety of quasilinear parabolic equations, including graphical anisotropic mean curvature flows, have gradient bounded in terms of oscillation and elapsed time.

Comments: 25 pages
Journal: Indiana University Mathematics Journal 58 (2009) 351--380
Categories: math.AP
Subjects: 35K55, 35B65
Related articles: Most relevant | Search more
arXiv:1306.1278 [math.AP] (Published 2013-06-06)
Lipschitz bounds for solutions of quasilinear parabolic equations in one space variable
arXiv:1405.2587 [math.AP] (Published 2014-05-11, updated 2015-10-21)
Potential estimates and quasilinear parabolic equations with measure data
arXiv:2102.01550 [math.AP] (Published 2021-02-02)
On the continuity of solutions of quasilinear parabolic equations with generalized Orlicz growth under non-logarithmic conditions

Links

Toolbox