Wilhelm Schlag

Mathematical Physics · 2000–2013

A researcher in the Science corpus: 14 papers; trusts 28 researchers and is trusted by 47 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 84 citations into it; #307 of 8,562 by trust here, #204 by citations
• Applied Mathematics — 64 citations into it; #574 of 7,620 by trust here, #461 by citations
• Statistical and Nonlinear Physics — 22 citations into it; #4,069 of 10,127 by trust here, #5,200 by citations
• Control and Systems Engineering — 18 citations into it; #2,377 of 8,257 by trust here, #6,417 by citations
• Computational Theory and Mathematics — 16 citations into it
• Numerical Analysis — 5 citations into it; #1,125 of 3,586 by trust here, #2,832 by citations

Whom Wilhelm Schlag trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Terence Tao
2. D. Tataru
3. F. Merle
4. J. Krieger
5. Carlos E. Kenig
6. Hatem Zaag
7. A. Ionescu
8. Igor Rodnianski
9. Michael Struwe
10. Yuval Peres

Who trusts Wilhelm Schlag overall

1. Raphael Cote
2. Pablo Shmerkin
3. F. Merle
4. Yvan Martel
5. Michael Hochman
6. Thomas Duyckaerts
7. J. Krieger
8. Jacob Sterbenz
9. Piero D'Ancona
10. Tuomas Orponen

Papers from Wilhelm Schlag's perspective

Ordered by how strongly the researchers Wilhelm Schlag trusts endorse each paper. Same corpus, a different order for every researcher.

1. Regularity of Wave-Maps in Dimension 2 + 1
2. Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
3. Renormalization and blow up for charge one equivariant critical wave maps
4. Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrödinger equation in the radial case
5. Global regularity of wave maps, I: small critical Sobolev norm in high dimension
6. Determination of the blow-up rate for the semilinear wave equation
7. The wave maps equation
8. Equivariant wave maps in two space dimensions
9. STRICHARTZ ESTIMATES FOR A SCHRÖDINGER OPERATOR WITH NONSMOOTH COEFFICIENTS
10. Existence of blow-up solutions in the energy space for the critical generalized KdV equation

Their papers

• Classical and Multilinear Harmonic Analysis: Frontmatter (2013) — 216 citations
• Energy partition for the linear radial wave equation (2012) — 56 citations
• Invariant Manifolds and Dispersive Hamiltonian Evolution Equations (2011) — 181 citations
• Concentration Compactness for Critical Wave Maps (2009) — 166 citations
• Slow blow-up solutions for the $H^1({\mathbb R}^3)$ critical focusing semilinear wave equation (2009) — 113 citations
• Two Erdős problems on lacunary sequences: Chromatic number and Diophantine approximation (2007) — 63 citations
• Spectral theory and nonlinear partial differential equations: A survey (2006) — 56 citations
• Renormalization and blow up for charge one equivariant critical wave maps (2006) — 249 citations
• A limiting absorption principle for the three-dimensional Schrödinger equation with Lp potentials (2004) — 105 citations
• Dispersive Estimates for Schrödinger Operators in Dimensions One and Three (2003) — 252 citations
• Time decay for solutions of Schrödinger equations with rough and time-dependent potentials (2001) — 395 citations
• Sixty Years of Bernoulli Convolutions (2000) — 341 citations
• Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions (2000) — 254 citations
• Anderson Localization for Schrödinger Operators on ℤ with Strongly Mixing Potentials (2000) — 71 citations