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Partial Differential Equations and Analysis Seminar
The partial differential equations and analysis seminar is the research seminar associated with the applied and nonlinear analysis, and the analysis and geometry programs.
Upcoming events
27
Aug
2019
1.30–3.30pm 27 August 2019
Professor Yu Yuan (MSRVP), University of Washington, Professor Young-Heon Kim, University of British Columbia
In this seminar, Professor Yu Yuan and Professor Young-Heon Kim will discuss special lagrangian equations and optimal transport for dendritic structures.
27
Aug
2019
1.30–3.30pm 27 August 2019
Professor Yu Yuan (MSRVP), University of Washington, Professor Young-Heon Kim, University of British Columbia
In this seminar, Professor Yu Yuan and Professor Young-Heon Kim will discuss special lagrangian equations and optimal transport for dendritic structures.
Past events
16
Aug
2019
Geometry of Ricci solitons »
In this seminar, Professor Huai-Dong Cao will discuss some recent progress on Ricci solitons, especially in dimension four.
13
Aug
2019
A new phenomenon involving inverse curvature flows in hyperbolic space »
In this seminar, we discover a new phenomenon involving inverse curvature flows in hyperbolic space.
09
Aug
2019
Dynamics of a Fisher-KPP nonlocal diffusion model with free boundaries »
Professor Yihong Du will introduce and discuss a class of free boundary problems with "nonlocal diffusion".
06
Aug
2019
Energy critical 2-D stochastic wave equation »
In this seminar, Nimit Rana will prove the existence and uniqueness of a local maximal solution to a $H^1$-critical stochastic wave equation with multiplicative noise on a smooth bounded domain $\mathcal{D} \subset \mathbb{R}^2$ with exponential nonlinearity.
09
Jul
2019
The perfectly matched layer (PML): theory and practice »
In this talk we discuss the well-posedness and stability of the PML initial boundary value problem. In particular, we will perform a spectral analysis of the integro-differential operator corresponding to the PML-IBVP, and derive general solutions of the PML-IBVP in the Fourier- Laplace domain.
11
Jun
2019
Bounds on the maximal Bochner-Riesz means for elliptic operators »
I will discuss $L^p$ boundedness of the maximal Bochner-Riesz means for self-adjoint operators of elliptic type which satisfy
the finite speed of propagation for the associated wave operator.
04
Jun
2019
Weyl Pseudodifferential Operators in Ornstein-Uhlenbeck Settings »
The classical Weyl pseudodifferential calculus is a particular choice of "quantisation". Ornstein-Uhlenbeck (OU) operators are analogs of the Laplacian adapted to spaces with Gaussian measure. I will explain my current work in adapting the Weyl calculus to the OU setting.
28
May
2019
On square functions in the control of linear systems »
I will survey some fundamental concepts in linear systems.
17
May
2019
Disclinations in 3D Landau-de Gennes theory »
In this talk I will introduce a new bifurcation theory to find multiple solutions of Landau-de Gennes equation.
14
May
2019
Spaces of functions invariant under Fourier integral operators of order zero (part 2) »
This talk follows up on the seminar by Andrew Hassell on May 8. However, at the start of my talk I will recall the contents of his seminar, so that the talk is accessible without prior knowledge of the subject.
07
May
2019
Spaces of functions invariant under Fourier integral operators of order zero »
It was proved by Seeger, Sogge and Stein that Fourier Integral operators (FIOs) in $n$ dimensions map
the Hardy space $H^1$ into $L^1$ provided they have sufficiently negative order, that is, no bigger than $-(n-1)/2$.
16
Apr
2019
In memory of Alan McIntosh and Joe Moyal: an operator theoretic approach to pseudo-differential calculus »
Can one use pseudo-differential calculus in situations where no Fourier transform is available? On a manifold, one can use the euclidean pseudo-differential calculus locally, but can one find a global analogue?
09
Apr
2019
Adapted sparse domination and good-lambda inequalities »
The method of sparse domination is an efficient technique for obtaining weighted L^p bounds of singular integral operators with sharp dependence on the weight constant. In this talk we show how one can use good-lambda inequalities to obtain a sparse domination that is adapted to various operators and weight classes.
02
Apr
2019
On the global dynamics of Maxwell-Klein-Gordon equations »
It is conjectured that for the Maxwell-Klein-Gordon equations having data with non-vanishing charge and arbitrary large size, the global solutions disperse as linear waves and enjoy the so-called peeling properties for pointwise estimates. We give a gauge independent proof of the conjecture.
29
Mar
2019
Compactification of Lie Groups »
I will discuss compactifications of semisimple Lie groups, in particular SU(n) over the real and complex fields, as manifolds with corners.
