S. Klainerman

Mathematical Physics · 2000–2010

A researcher in the Science corpus: 9 papers; trusts 2 researchers and is trusted by 19 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 10 citations into it; #1,158 of 8,562 by trust here, #1,159 by citations
• Applied Mathematics — 8 citations into it; #990 of 7,620 by trust here, #1,057 by citations
• Control and Systems Engineering — 5 citations into it; #2,924 of 8,257 by trust here, #4,722 by citations

Whom S. Klainerman trusts overall

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

1. D. Tataru
2. Terence Tao
3. Hart F. Smith

Who trusts S. Klainerman overall

1. Terence Tao
2. D. Tataru
3. J. Krieger
4. Geordie Richards
5. Hart F. Smith
6. Philip T. Gressman
7. M. Grillakis
8. S. Selberg
9. Jacob Sterbenz
10. Igor Rodnianski

Papers from S. Klainerman's perspective

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

1. Strichartz estimates for operators with nonsmooth coefficients and the nonlinear wave equation
2. On global existence and scattering for the wave maps equation
3. Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients, II
4. Multilinear weighted convolution of L2 functions, and applications to nonlinear dispersive equations
5. STRICHARTZ ESTIMATES FOR A SCHRÖDINGER OPERATOR WITH NONSMOOTH COEFFICIENTS
6. Maximal Functions Associated to Filtrations
7. Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
8. Renormalization and blow up for charge one equivariant critical wave maps
9. Regularity of Wave-Maps in Dimension 2 + 1
10. Rough solutions for the wave maps equation

Their papers

• PDE as a Unified Subject (2010) — 53 citations
• On the Uniqueness of Solutions to the Gross-Pitaevskii Hierarchy (2007) — 158 citations
• Mathematical aspects of nonlinear dispersive equations (2007) — 286 citations
• A geometric approach to the Littlewood–Paley theory (2003) — 68 citations
• Improved local well-posedness for quasilinear wave equations in dimension three (2003) — 98 citations
• BILINEAR ESTIMATES AND APPLICATIONS TO NONLINEAR WAVE EQUATIONS (2001) — 159 citations
• On the global regularity of wave maps in the critical Sobolev norm (2000) — 80 citations
• A commuting vectorfields approach to Strichartz-type inequalities and applications to quasi-linear wave equations (2000) — 47 citations
• Bilinear space-time estimates for homogeneous wave equations (2000) — 142 citations