Research Papers (for earlier ones see MathSciNet) - Wilhelm Schlag

1. On pointwise decay for linear waves on a Schwarzschild black hole background (with Roland Donninger and Avy Soffer)
   preprint 2009.
2. Decay estimates for the one-dimensional wave equation with an inverse power potential (with Roland Donninger)
   preprint 2009.
3. A proof of Price's law on Schwarzschild black hole manifolds for all angular momenta (with Roland Donninger and Avy Soffer)
   preprint 2009.
4. Concentration compactness for critical wave maps. (with Joachim Krieger)
   preprint 2009.
5. Renormalization and blow-up for the critical Yang-Mills problem. (with Joachim Krieger and Daniel Tataru)
   preprint 2008, to appear in Advances in Mathematics.
6. Semiclassical analysis of low and zero energy scattering for one dimensional Schroedinger operators with inverse square potentials (with Ovidiu Costin, Wolfgang Staubach, and Saleh Tanveer)
   preprint 2008, to appear in Journal Func. Analysis
7. Decay for the wave and Schroedinger evolutions on manifolds with conical ends, Part II (with Avy Soffer and Wolfgang Staubach)
   preprint 2008, to appear in Transactions AMS
8. Decay for the wave and Schroedinger evolutions on manifolds with conical ends, Part I (with Avy Soffer and Wolfgang Staubach)
   preprint 2006, to appear in Transactions AMS
9. Two Erdoes problems on lacunary sequences: chromatic number and Diophantine approximation (with Yuval Peres)
   preprint 2007, to appear in Proc. London Math. Society
10. Strichartz and smoothing estimates for Schroedinger operators with almost
    critical magnetic potentials in three and higher dimensions (with Burak Erdogan and Michael Goldberg)
    preprint 2007, to appear in Forum Math.
11. Slow blow up solutions for the H^1(R^3) critical focusing semi-linear wave equation (with Joachim Krieger and Daniel Tataru)
    preprint 2007, to appear in Duke Math. Journal.
12. Renormalization and blow up for charge one equivariant critical wave maps (with Joachim Krieger and Daniel Tataru)
    preprint 2006, Inventiones Math.
13. Strichartz and smoothing estimates for Schroedinger operators with large magnetic potentials in R^3 (with Burak Erdogan and Michael Goldberg)
    preprint 2006, Journal of the EMS
14. On the formation of gaps in the spectrum of Schroedinger operators with quasi-periodic potentials (with Michael Goldstein)
    preprint 2006. Has appeared in Barry Simon's Festschrift on the occasion of his sixtieth birthday.
15. On resonances and the formation of gaps in the spectrum of quasi-periodic Schroedinger equations (with Michael Goldstein)
    preprint 2008, to appear in Annals of Math.
16. On Schroedinger operators with dynamically defined potentials (with Michael Goldstein)
    preprint 2005, to appear in Moscow Mathematical Journal, volume dedicated to Sinai's 70th birthday.
17. Fine properties of the integrated density of states and a quantitative separation property of the Dirichlet eigenvalues (with Michael Goldstein)
    to appear in GAFA.
18. Spectral theory and nonlinear PDE: a survey
    preprint 2005, Discrete and Cont. Dynamical Systems
19. A remark on Littlewood-Paley theory for the distorted Fourier transform
    preprint 2005, Proceedings AMS
20. Non-generic blow-up solutions for the critical focusing NLS in 1-d (with J. Krieger)
    Journal of the EMS
21. On the focusing critical semi-linear wave equation (with J. Krieger)
    preprint 2005, American Journal of Math.
22. Numerical verification of a gap condition for linearized NLS (with L. Demanet)
    Nonlinearity 19 (2006), 829-852.
23. Dispersive estimates for Schrodinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three: II
    as ps file . (with M Burak Erdogan)
    preprint 2005, Journal d'Analyse Math
24. Stable manifolds for all supercritical monic NLS in one dimension
    as pdf file, and the same paper in .ps format PS . (with Joachim Krieger)
    preprint 2005, Journal of the AMS
25. Dispersive estimates for Schroedinger operators: a survey
    as pdf file, and the same paper in .ps format PS .
    preprint 2005, Proceedings of the PDE meeting at the IAS, Princeton, March 2004.
26. Dispersive estimates for Schrodinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three: I
    as dvi file, and the same paper in PDF format PDF . (with Burak Erdogan)
    preprint 2004, Dynamics of PDE
27. Agmon-Kato-Kuroda theorems for a large class of perturbations (with Alexander Ionescu)
    preprint 2004, Duke Math. Journal, 2006.
28. Stable manifolds for an orbitally unstable NLS
    preprint 2004, to appear in Annals of Math.
29. Dispersive estimates for Schroedinger operators in two dimensions
    as dvi file, and the same paper in PDF format PDF .
    preprint 2004, Comm. Math. Phys.
30. A Limiting Absorption Principle for the three-dimensional Schroedinger equation with L^p potentials (with Michael Goldberg)
    Int. Math. Research Notices.
31. On discrete Schroedinger operators with stochastic potentials
    as ps file, and the same paper in PDF format PDF .
    Proceedings of ICMP Lisbon, 2003.
32. Dispersive estimates for Schroedinger operators in dimensions one and three
    as ps file, and the same paper in PDF format PDF . (with Michael Goldberg)
    Comm. Math. Phys. vol. 251, no. 1 (2004), 157-178.
33. Asymptotic stability of N-soliton states of NLS
    as ps file, and the same paper in PDF format PDF . (with Igor Rodnianski and Avy Soffer)
    preprint 2003.
34. Dispersive analysis of charge transfer models
    as ps file, and the same paper in PDF format PDF . (with Igor Rodnianski and Avy Soffer)
    has appeared in Comm. Pure and Appl. Math.
35. Energy growth in Schroedinger's equation with Markovian forcing
    as ps file, and the same paper in PDF format PDF . (with Burak Erdogan and Rowan Killip)
    Comm. Math. Phys. 240 (2003), no. 1-2, 1-29.
36. On the Hardy-Littlewood majorant problem for random sets
    as dvi file, and the same paper in PDF format PDF . (with Gerd Mockenhaupt)
    Journal of Functional Analysis.
37. On continuum incidence problems related to harmonic analysis
    the same paper in PDF format PDF .
    J. Func. Analysis 201 (2003), no. 2, 480-521.
38. Time decay for solutions of Schroedinger equations with rough and time-dependent potentials
    the same paper in PDF format PDF .
    Invent. Math. 155 (2004), no. 3, 451-513. (with Igor Rodnianski)
39. Classical and quantum scattering for a class of long range random potentials
    the same paper in PDF format PDF .
    Int. Math. Res. Notices 2003, no. 5, 243-300. (with Igor Rodnianski)
40. On the integrated density of states for Schroedinger operators on Z^2 with quasi periodic potential.
    Comm. Math. Phys. 223 (2001), no. 1, 47-65.
41. Frequency concentration and localization lengths for the Anderson model at small disorders.
    Journal d'analyse math. 88 (2002), 173-220. (with C. Shubin and T. Wolff)
42. Anderson localization for Schroedinger operators on Z^2 with quasi-periodic potential.
    Acta Mathematica 188 (2002), no. 1, 41-86. (with J. Bourgain and M. Goldstein)
43. Bernoulli convolutions and an intermediate value theorem for entropies of K-partitions.
    Journal d'analyse math. 87 (2002), 337-367. (with E. Lindenstrauss and Y. Peres)
44. Anderson localization for Schroedinger operators on Z with potentials given by the skew-shift.
    Comm. Math. Phys. 220 (2001), no. 3, 583-621. (with J. Bourgain and M. Goldstein)
45. Anderson localization for Schroedinger operators on Z with strongly mixing potentials.
    Comm. Math. Phys. 215 (2000), 143-175. (with J. Bourgain)
46. Holder continuity of the integrated density of states for quasiperiodic Schroedinger equations and averages of shifts of subharmonic functions.
    Annals of Math. (2) 154 (2001), no. 1, 155-203. (with M. Goldstein)