UTK-PDE Distinguished Lecture Series is a series of lectures in partial differential equations (PDEs) delivered virtually by world renowned mathematicians. Each part in the series consists of three to five lectures covering core ideas, techniques, and state of the art in selected topics in the area of partial differential equations. Lectures will be thoughtfully designed and technically simplified so that they will be accessible to an audience with only basic background in Analysis and PDEs. All lectures will be recorded and posted together with lecture notes (Youtube Channel UTK-PDE Lecture Series). The series is founded and organized by Dr. Tuoc Phan with the support from the Department of Mathematics at the University of Tennessee - Knoxville.

** Volume II (Spring 2021)**: Professor Jun-cheng Wei (Department of Mathematics of University of British Columbia). Enter your name and e-mail address in this form if you would like to receive reminding messages.

** Title**: Gluing methods and Applications.

** Abstract**: *In this lecture series, I will introduce the gluing methods and applications. Four examples of nonlinear equations will be used to illustrate the methods: 1) nonlinear Schrödinger equations (finite dimensional reduction method) 2) Allen-Cahn equation and minimal surfaces (infinite dimensional reduction method) 3) energy-critical parabolic equations (parabolic gluing method) 4) 2D Euler equation (gluing method applied to transport equation). If time permits I will also describe some applications of the reverse gluing methods including $C^{2,\alpha}$ estimates for interfaces of Allen-Cahn and non-existence of Type II blow-ups for energy-critical heat equation. *

** Schedule**: Zoom link will be available 30 minutes before each lecture. Enter your name and e-mail address in this form if you would like to receive reminding messages.

Date/Time | Zoom information | Lecture Notes | Lecture Videos |
---|---|---|---|

April 1, 2:50PM (EDT) | Zoom link | Lecture Slides | Lecture 1 |

April 8, 2:50PM (EST) | Zoom link | Lecture Slides | Lecture 2 |

April 15, 2:50PM (EST) | Zoom link | Lecture Slides | Lecture 3 |

April 22, 2:50PM (EST) | Zoom link | Lecture Slides | Lecture 4 |

April 29, 2:50PM (EST) | Zoom link | Lecture Slides | Lecture 5 |

** Youtube Channel**: UTK-PDE Lecture Series. Feel free to subscribe.

**Title**: The Monge-Ampère equation

** Volume I Flyer [PDF]**. Sharing the flyer and the series information is greatly appreciated.

** Schedule** (Zoom information/passcode will be available 30 minutes before each lecture)

Date/Time | Zoom information | Lecture Notes | Lecture Videos |
---|---|---|---|

October 29, 2:50PM (EDT) | Zoom link, Passcode: 980817 | Lecture 1 | Video 1 |

November 5, 2:50PM (EST) | Zoom link, Passcode (not required) | Lecture 2 | Video 2 |

November 12, 2:50PM (EST) | Zoom link, Passcode (not required) | Lecture 3 | Video 3 |

November 19, 2:50PM (EST) | Zoom link, Passcode (not required) | Lecture 4 | Video 4 |

** Youtube Channel**: UTK-PDE Lecture Series. Feel free to subscribe.

**Contact information:** Write to
Tuoc Phan at phan(at)math(dot)utk(dot)edu if you would like to receive the reminding messages on this event or if you have questions/requests.