When we look at a differential equation in a very irregular
media (composite material, mixed solutions, etc.) from very close,
we may see a very complicated problem. However, if we look from far
away we may not see the details and the problem may...
We discuss the local properties of the boundaries of sets whose
indicator function is a local minimizer of a Sobolev norm of
exponent strictly less than 1/2. It turns out that one devise a
regularity that parallels very much that of de Giorgi for...
We will discuss diffusion limits for linear Boltzmann equations.
When the equilibrium distribution function is a Maxwellian
distribution, it is well known that for an appropriate time scale,
the small mean free path limit gives rise to a diffusion...
When we look at a differential equation in a very irregular
media (composite material, mixed solutions, etc.) from very close,
we may see a very complicated problem. However, if we look from far
away we may not see the details and the problem may...
When we look at a differential equation in a very irregular
media (composite material, mixed solutions, etc.) from very close,
we may see a very complicated problem. However, if we look from far
away we may not see the details and the problem may...
If a solution (M,g(t)) of Ricci flow develops a local
singularity at a finite time T , then there is a proper subset S of
M on which the curvature becomes infinite as time approaches T .
Existing approaches to Ricci-flow-with-surgery, due to...
Given two differential equations it is often useful to know
invariants which guarantee that there exists a transformation of
variables (independent, dependent or both) that transforms one of
the equations into the other. Recently it has been...
