| Talk_id | Date | Speaker | Title |
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29098
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Wednesday 9/8
4:00 PM
|
Alexander Volberg, MSU
|
Drastic differences between the potential theories on trees and on multi-trees
- Alexander Volberg, MSU
- Drastic differences between the potential theories on trees and on multi-trees
- 09/08/2021
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
(Virtual Meeting Link)
- Dapeng Zhan (zhan@msu.edu)
No abstract available.
|
|
29099
|
Wednesday 9/15
4:00 PM
|
Kleinhenz, Perry, MSU
|
Stabilization rates for the damped wave equation with polynomial and oscillatory damping
- Kleinhenz, Perry, MSU
- Stabilization rates for the damped wave equation with polynomial and oscillatory damping
- 09/15/2021
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
(Virtual Meeting Link)
- Dapeng Zhan (zhan@msu.edu)
In this talk I will discuss energy decay of solutions of the Damped wave equation. After giving an overview of classical results I'll focus on the torus with damping that does not satisfy the geometric control condition. In this setup properties of the damping at the boundary of its support determine the decay rate, however a general sharp rate is not known.
I will discuss damping which is 0 on a strip and vanishes either like a polynomial x^b or an oscillating exponential e^{-1/x} sin^2(1/x). Polynomial damping produces decay of the semigroup at exactly t^{-(b+2)/(b+3)}, while oscillating damping produces decay at least as fast as t^{-4/5+\delta} for any \delta>0. I will explain how these model cases are proved and how they direct further study of the general sharp rate.
|
|
29122
|
Wednesday 9/22
4:00 PM
|
Ruoyu Wang , Northwestern
|
Boundary Stabilisation of Waves on Product Manifolds
- Ruoyu Wang , Northwestern
- Boundary Stabilisation of Waves on Product Manifolds
- 09/22/2021
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
(Virtual Meeting Link)
- Dapeng Zhan (zhan@msu.edu)
Take a square and consider the damped waves with boundary damping $a>0$ on the top side only. We will discuss my recent result implying that the energy of those waves must uniformly decay no faster than $t^{-1/2}$, and no slower than it. We will also discuss this result in the context of product manifolds where the transverse geometric control is sufficient but not necessary for such energy decay.
Zoom passcode: A*****-P**
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29125
|
Wednesday 11/3
4:00 PM
|
Xin Sun, University of Pennsylvania
|
TBD
- Xin Sun, University of Pennsylvania
- TBD
- 11/03/2021
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
(Virtual Meeting Link)
- Dapeng Zhan (zhan@msu.edu)
TBD
|
