# Difference between revisions of "PDE Geometric Analysis seminar"

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=Abstract= | =Abstract= | ||

− | ===Hung Tran | + | ===Hung Tran=== |

Some inverse problems in periodic homogenization of Hamilton--Jacobi equations. | Some inverse problems in periodic homogenization of Hamilton--Jacobi equations. | ||

Abstract: We look at the effective Hamiltonian $\overline{H}$ associated with the Hamiltonian $H(p,x)=H(p)+V(x)$ in the periodic homogenization theory. Our central goal is to understand the relation between $V$ and $\overline{H}$. We formulate some inverse problems concerning this relation. Such type of inverse problems are in general very challenging. I will discuss some interesting cases in both convex and nonconvex settings. Joint work with Songting Luo and Yifeng Yu. | Abstract: We look at the effective Hamiltonian $\overline{H}$ associated with the Hamiltonian $H(p,x)=H(p)+V(x)$ in the periodic homogenization theory. Our central goal is to understand the relation between $V$ and $\overline{H}$. We formulate some inverse problems concerning this relation. Such type of inverse problems are in general very challenging. I will discuss some interesting cases in both convex and nonconvex settings. Joint work with Songting Luo and Yifeng Yu. |

## Revision as of 15:40, 28 August 2015

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

## Contents

### Previous PDE/GA seminars

### Tentative schedule for Spring 2016

# Seminar Schedule Fall 2015

date | speaker | title | host(s) |
---|---|---|---|

September 7 (Labor Day) | |||

September 14 | Hung Tran (Madison) | Some inverse problems in periodic homogenization of Hamilton--Jacobi equations | |

September 21 | Eric Baer (Madison) | TBA | |

September 28 | Donghyun Lee (Madison) | TBA | |

October 5 | Hyung-Ju Hwang (Postech & Brown Univ) | TBA | Kim |

October 12 | Binh Tran (Madison) | TBA | |

October 19 | Bob Jensen (Loyola University Chicago) | TBA | Tran |

October 26 | Luis Silvestre (Chicago) | TBA | Kim |

November 2 | Connor Mooney (UT Austin) | TBA | Lin |

November 9 | Yifeng Yu (UC Irvine) | TBA | Tran |

November 16 | Lu Wang (Madison) | TBA | |

November 23 | |||

November 30 | |||

December 7 | |||

December 14 | reserved | Zlatos |

# Abstract

### Hung Tran

Some inverse problems in periodic homogenization of Hamilton--Jacobi equations.

Abstract: We look at the effective Hamiltonian $\overline{H}$ associated with the Hamiltonian $H(p,x)=H(p)+V(x)$ in the periodic homogenization theory. Our central goal is to understand the relation between $V$ and $\overline{H}$. We formulate some inverse problems concerning this relation. Such type of inverse problems are in general very challenging. I will discuss some interesting cases in both convex and nonconvex settings. Joint work with Songting Luo and Yifeng Yu.