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Wilhelm Schlag

Yale University · US
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Area of research
Mathematical Physics · Statistical and Nonlinear Physics
Research interest
Research interests include Advanced Mathematical Physics Problems, Spectral Theory in Mathematical Physics, Nonlinear Waves and Solitons, and Nonlinear Photonic Systems.
h-index
43
citations
6,086
works
225
NIH funding
primary concept
email

Recent publications

Hölder continuity of the integrated density of states for Liouville frequencies
Journal of Spectral Theory 2026cited by 0position: contributordoi
An introduction to the distorted Fourier transform
Advanced Nonlinear Studies 2025cited by 0position: contributordoi
Correction to: On Localization and the Spectrum of Multi-frequency Quasi-periodic Operators
Vietnam Journal of Mathematics 2025cited by 0position: contributordoi
On Localization and the Spectrum of Multi-frequency Quasi-periodic Operators
Vietnam Journal of Mathematics 2023cited by 2position: contributordoi
An introduction to multiscale techniques in the theory of Anderson localization, Part I
Nonlinear Analysis 2022cited by 8position: contributordoi
On pointwise decay of waves
Journal of Mathematical Physics 2021cited by 22position: contributordoi
Profiles for the Radial Focusing 4d Energy-Critical Wave Equation
Communications in Mathematical Physics 2017cited by 2position: lastdoi
Characterization of large energy solutions of the equivariant wave map problem: II
American Journal of Mathematics 2015cited by 38position: lastdoi
Center-stable manifold of the ground state in the energy space for the critical wave equation
Mathematische Annalen 2014cited by 70position: lastdoi
Relaxation of Wave Maps Exterior to a Ball to Harmonic Maps for All Data
Geometric and Functional Analysis 2014cited by 63position: lastdoi
Threshold Phenomenon for the Quintic Wave Equation in Three Dimensions
Communications in Mathematical Physics 2014cited by 36position: lastdoi
Classical and Multilinear Harmonic Analysis
Cambridge University Press eBooks 2013cited by 247position: lastdoi
Full range of blow up exponents for the quintic wave equation in three dimensions
Journal de Mathématiques Pures et Appliquées 2013cited by 71position: lastdoi
Energy partition for the linear radial wave equation
Mathematische Annalen 2013cited by 47position: lastdoi
Concentration Compactness for Critical Wave Maps
EMS monographs in mathematics 2012cited by 150position: lastdoi
Global dynamics of the nonradial energy-critical wave equation above the ground state energy
Discrete and Continuous Dynamical Systems 2012cited by 54position: lastdoi

Grants

Dynamics of Nonlinear and Disordered Systems
NSF2350356$302,6192024–2027PIRePORTER
Spectral Theory and Nonlinear Waves
NSF2054841$400,2372021–2024PIRePORTER
Global Dynamics of Nonlinear Dispersive Evolution Equations and Spectral Theory
NSF1902691$270,0002018–2021PIRePORTER
Global Dynamics of Nonlinear Dispersive Evolution Equations and Spectral Theory
NSF1764384$270,0002018–2019PIRePORTER
Long-Term Dynamics of Nonlinear Evolution Partial Differential Equations
NSF1842197$23,9252018–2019PIRePORTER
Long-Term Dynamics of Nonlinear Evolution Partial Differential Equations
NSF1500696$375,0002015–2018PIRePORTER
Global dynamics for nonlinear dispersive equations
NSF1160817$333,0002012–2016PIRePORTER
Harmonic Analysis, Mathematical Physics, and Nonlinear PDE
NSF0653841$288,0002007–2013PIRePORTER
Harmonic Analysis with Applications to Mathematical Physics
NSF0617854$85,4602005–2007PIRePORTER
Harmonic Analysis with Applications to Mathematical Physics
NSF0300081$238,7612003–2006PIRePORTER
Nonperturbative methods for quasiperiodic discrete Schroedinger equations on the line
NSF0241930$37,7252002–2003PIRePORTER
Nonperturbative methods for quasiperiodic discrete Schroedinger equations on the line
NSF0070538$98,2142000–2003PIRePORTER

Frequent collaborators

· 6 papers (2021–2026)Joachim Krieger · University of Lausanne5 papers (2012–2014)Carlos E. Kenig · University of Chicago4 papers (2013–2017) · 3 papers (2012–2014) · 3 papers (2013–2017)Andrew Lawrie · University of Bristol2 papers (2014–2015)Haram Ko · Brown University1 papers (2025–2025)Camil Muscalu · Cornell University1 papers (2013–2013)
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