# Difference between revisions of "PDE Geometric Analysis seminar"

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|- | |- | ||

|January 25 | |January 25 | ||

− | ||Tianling Jin (HKUST) | + | ||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 | ||

Line 87: | Line 87: | ||

|} | |} | ||

− | = | + | =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.