42 citations · 87 across the 10 of their papers we have counts for
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On the focusing critical semi-linear wave equation
Joachim Krieger, Wilhelm Schlag
The focusing critical wave equation in three dimensions exhibits a special class of static solutions which are linearly unstable. These solutions decay like an inverse first power.…
Spectral Theory and Nonlinear PDE: a Survey
Wilhelm Schlag
This is a slightly modified version of the survey article. Minor changes to the text and the references have been made.
Non-generic blow-up solutions for the critical focusing NLS in 1-d
Joachim Krieger, Wilhelm Schlag
This paper addresses the existence of codimension one stable manifolds for the pseudo-conformal blow-up solution for critical one-dimensional NLS. By the work of Perelman and Merle…
Dispersive estimates for Schroedinger operators: A survey
Wilhelm Schlag
We present some old and new results on dispersive estimates for Schroedinger equations.
Stable manifolds for all monic supercritical NLS in one dimension
Joachim Krieger, Wilhelm Schlag
We show that all supercritical monic focusing NLS in one space dimension exhibit asymptotic stability of perturbed standing waves provided the perturbations are chosen on a small h…
Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three: I
Burak Erdogan, Wilhelm Schlag
We prove dispersive estimates for Schroedinger operators in dimension three without any assumptions on zero energy. Ie, we allows resonances and/or eigenvalues at zero energy.