Mathematics Colloquium
Speaker: Karthik Adimurthi.
Affiliation: TIFR CAM, Bangalore.
Date and Time: Monday 19 August, 4:00 pm - 5:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Uniform boundedness and Lipschitz estimates for quasilinear
parabolic equations.
Abstract: In this talk, we will discuss some well known regularity issues
concerning equations of the form $u_t - div |\nabla u|^{p-2} \nabla u = 0$
for $1
2$) and the singular case ($p<2$)
separately. Moreover in several instances, the estimates are not even
stable as $p\rightarrow 2$. In this talk, I shall discuss two regularity
estimates and give an overview on how to obtain uniform $L^{\infty}$ and
$C^{0,1}$ estimates in the full range $\frac{2N}{N+2}