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We find the exact eigenvalues and eigenfunctions for the problem of a particle in a box with a delta function potential $V(x)=\lambda\delta(x-x_{0})$ using the factorization method. We show that the p...
The short pulse (SP) equation is a novel model equation describing the propagation of ultra-short optical pulses in nonlinear media. This article reviews some recent results about the SP equation. In ...
One of the central difficulties in connection to the L^2 bounded curvature conjecture in general relativity is to be able to control the causal structure of spacetimes with this very limited regularit...
The first in a sequence of three papers written in collaboration with I. Rodnianski on solutions with minimal regularity for the Einstein equations.. Taking advantage oif the special structure of the ...

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