Nikolay Tzvetkov

Mathematical Physics · 2000–2017

A researcher in the Science corpus: 22 papers; trusts 39 researchers and is trusted by 57 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 102 citations into it; #204 of 8,562 by trust here, #126 by citations
• Statistical and Nonlinear Physics — 51 citations into it; #882 of 10,127 by trust here, #1,276 by citations
• Applied Mathematics — 49 citations into it; #362 of 7,620 by trust here, #303 by citations
• Control and Systems Engineering — 23 citations into it; #1,822 of 8,257 by trust here, #1,814 by citations
• Computational Theory and Mathematics — 5 citations into it; #4,840 of 12,182 by trust here, #6,798 by citations
• Nuclear and High Energy Physics — 5 citations into it

Whom Nikolay Tzvetkov trusts overall

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

1. Nicolas Burq
2. Hideo Takaoka
3. Michael Christ
4. Terence Tao
5. Carlos E. Kenig
6. Patrick Gérard
7. Jerry L. Bona
8. Tadahiro Oh
9. A. Ionescu
10. James E. Colliander

Who trusts Nikolay Tzvetkov overall

1. Nicolas Burq
2. Tadahiro Oh
3. Terence Tao
4. Jonas Lührmann
5. A. Alexandrou Himonas
6. Carlos E. Kenig
7. Andrea R. Nahmod
8. Soonsik Kwon
9. Massimiliano Gubinelli
10. 'Arp'ad B'enyi

Papers from Nikolay Tzvetkov's perspective

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

1. Semilinear Schrodinger Equations
2. Maximal Functions Associated to Filtrations
3. Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds
4. Sharp global well-posedness for KdV and modified KdV on ℝ and
5. Multilinear weighted convolution of L2 functions, and applications to nonlinear dispersive equations
6. STRICHARTZ ESTIMATES FOR A SCHRÖDINGER OPERATOR WITH NONSMOOTH COEFFICIENTS
7. On the ill-posedness of some canonical dispersive equations
8. On the local well-posedness of the Benjamin-Ono and modified Benjamin-Ono equations
9. Global existence for energy critical waves in 3-d domains
10. Global well-posedness of the Benjamin–Ono equation in low-regularity spaces

Their papers

• Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds (2005) — 185 citations
• An optimal regularity result on the quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schr\"odinger equation (2017) — 62 citations
• Invariant Measures and Long-Time Behavior for the Benjamin–Ono Equation (2014) — 64 citations
• Remarks on the Gibbs measures for nonlinear dispersive equations (2014) — 77 citations
• MODIFIED SCATTERING FOR THE CUBIC SCHRÖDINGER EQUATION ON PRODUCT SPACES AND APPLICATIONS (2013) — 152 citations
• Probabilistic well-posedness for the cubic wave equation (2011) — 155 citations
• Strichartz estimates for partially periodic solutions to Schr (2010) — 99 citations
• Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in $H^1(\mathbb{T}^3)$ (2010) — 126 citations
• Sharp well-posedness results for the BBM equation (2008) — 157 citations
• Invariant measure for a three dimensional nonlinear wave equation (2007) — 66 citations
• Random data Cauchy theory for supercritical wave equations II: a global existence result (2007) — 310 citations
• Random data Cauchy theory for supercritical wave equations I: local theory (2007) — 344 citations
• Strichartz estimates for long range perturbations (2005) — 70 citations
• Multilinear Eigenfunction Estimates And Global Existence For The Three Dimensional Nonlinear Schr (2004) — 154 citations
• Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds (2004) — 546 citations
• Global well-posedness for the KP-BBM equations (2004) — 50 citations
• Nonlinear wave interactions for the Benjamin-Ono equation. (2004) — 161 citations
• On the local well-posedness of the Benjamin-Ono equation in Hs(ℝ) (2003) — 142 citations
• Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation (2002) — 120 citations
• An instability property of the nonlinear Schrödinger equation on $S^{d}$ (2002) — 158 citations