Difference between revisions of "PDE Geometric Analysis seminar"

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|January 25
 
|January 25
||Tianling Jin (HKUST)
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||Tianling Jin (HKUST and Caltech)
 
|[[# Tianling Jin | Holder gradient estimates for parabolic homogeneous p-Laplacian equations  ]]
 
|[[# Tianling Jin | Holder gradient estimates for parabolic homogeneous p-Laplacian equations  ]]
 
| Zlatos
 
| Zlatos
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|}
 
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=Abstract=
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=Abstracts=
  
 
===Tianling Jin===
 
===Tianling Jin===
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We prove interior Holder estimates for the spatial gradient of viscosity solutions to the parabolic homogeneous p-Laplacian equation  
 
We prove interior Holder estimates for the spatial gradient of viscosity solutions to the parabolic homogeneous p-Laplacian equation  
$$
+
$u_t=|\nabla u|^{2-p} div(|\nabla u|^{p-2}\nabla u)$,
u_t=|\nabla u|^{2-p} div(|\nabla u|^{p-2}\nabla u),
 
$$
 
 
where 1<p<\infty. This equation arises from tug-of-war like stochastic games with white noise. It can also be considered as the parabolic p-Laplacian equation in non divergence form. This is joint work with Luis Silvestre.
 
where 1<p<\infty. This equation arises from tug-of-war like stochastic games with white noise. It can also be considered as the parabolic p-Laplacian equation in non divergence form. This is joint work with Luis Silvestre.

Revision as of 15:22, 6 January 2016

The seminar will be held in room 901 of Van Vleck Hall on Mondays from 3:30pm - 4:30pm, unless indicated otherwise.

Previous PDE/GA seminars

Tentative schedule for Fall 2016

Seminar Schedule Spring 2016

date speaker title host(s)
January 25 Tianling Jin (HKUST and Caltech) Holder gradient estimates for parabolic homogeneous p-Laplacian equations Zlatos
February 1 Russell Schwab (Michigan State University) TBA Lin
February 8 Jingrui Cheng (UW Madison)
February 15
February 22 Hong Zhang (Brown) Kim
February 29 Aaron Yip (Purdue university) TBD Tran
March 7 Hiroyoshi Mitake (Hiroshima university) TBD Tran
March 15 Nestor Guillen (UMass Amherst) TBA Lin
March 21 (Spring Break)
March 28 Ryan Denlinger (Courant Institute) TBA Lee
April 4
April 11
April 18
April 25 Moon-Jin Kang (UT-Austin) Kim
May 2

Abstracts

Tianling Jin

Holder gradient estimates for parabolic homogeneous p-Laplacian equations

We prove interior Holder estimates for the spatial gradient of viscosity solutions to the parabolic homogeneous p-Laplacian equation $u_t=|\nabla u|^{2-p} div(|\nabla u|^{p-2}\nabla u)$, where 1<p<\infty. This equation arises from tug-of-war like stochastic games with white noise. It can also be considered as the parabolic p-Laplacian equation in non divergence form. This is joint work with Luis Silvestre.