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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.
No events are currently scheduled.
Past events
11
Oct
2016
Existence and uniqueness of planar vortex patch in incompressible steady flow »
In this talk, we consider the planar vortex patch problem in an incompressible steady flow in a bounded domain $\mathbb R^2$.
04
Oct
2016
Positive solitary wave solutions to quasilinear Schrodinger equations »
In this talk, I will speak some results about positive solitary wave solutions to quaslinear Schrodinger equations.
04
Oct
2016
Regularity of Solutions for Some Degenerate Equations »
In this talk, I would report recent results on the Gevrey (or analytic) regularities of solutions for some degenerate paritial differential equations.
20
Sep
2016
Expanding curvature flow for convex surfaces in space forms »
We consider the convex surfaces expanding in space forms by powers $(0<p\leq 1)$ of a strictly monotone, homogeneous degree one function of its principal curvatures.
23
Aug
2016
The Heat kernel on Asymptotic Hyperbolic Manifolds »
We will show the upper bound of the heat kernel, via the corresponding resolvent on AH spaces due to Mazzeo-Melrose, Melrose-Sa Barreto-Vasy.
16
Aug
2016
Entropy and self-shrinkers of the mean curvature flow »
The Colding-Minicozzi entropy is an important tool for understanding the mean curvature flow (MCF).
14
Jun
2016
Poisson stochastic integration and stochastic PDE »
In this talk we present some examples of Poisson random measures and their use in the theory of SPDE.
26
Apr
2016
Riesz continuity of the Atiyah-Singer Dirac operator under perturbations of the metric »
This is joint work with Alan McIntosh (Australian National University) and Andreas Rosén (Gothenburg University).
15
Mar
2016
Partial Differential Equations and Analysis Seminar »
In this seminar, we will discuss the topological and Non-topological solutions of Chern-Simons equations which is developed to explain the second type of superconductivity phenomenon.
10
Feb
2016
Heat equation and reaction-diffusion equation with boundary noise »
Solvability of the heat equation with the Dirichlet white-noise boundary condition was an open problem for about 30 years.
10
Feb
2016
Liouville theorems involving the fractional Laplacian »
The fractional Laplacian in Euclidean space is a nonlocal operator.
10
Feb
2016
Multicommutators and Multiplier Theorems »
This is a joint work with Loukas Grafakos, Danqing He and Hanh Van Nguyen.
09
Feb
2016
A new approach to maximal regularity for parabolic PDEs »
Maximal regularity can often be used to obtain a priori estimates which give global existence results.
15
Dec
2015
Mihlin multipliers from a noncommutative angle »
We consider the problem how many derivatives are required for vector-valued extension of the classical Mihlin multiplier theorem.
24
Nov
2015
