The spectrum of a selfadjoint, C∞ linear elliptic partial differential operator on a compact manifold contains only isolated eigenvalues, each having finite multiplicity. It is sometimes the case that ...

Three physicists wanted to calculate how neutrinos change. They ended up discovering an unexpected relationship between some of the most ubiquitous objects in math. After breakfast one morning in ...

The classical first-order Hamilton-Jacobi equation $u^\epsilon _t+H(Du^\epsilon ,x/\epsilon )=0$ has a unique viscosity solution satisfying an initial condition uε ...