Monica Visan

Mathematical Physics · 2005–2018

A researcher in the Science corpus: 11 papers; trusts 34 researchers and is trusted by 30 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 133 citations into it; #236 of 8,562 by trust here, #136 by citations
• Applied Mathematics — 71 citations into it; #649 of 7,620 by trust here, #1,149 by citations
• Statistical and Nonlinear Physics — 52 citations into it; #1,980 of 10,127 by trust here, #3,979 by citations
• Control and Systems Engineering — 39 citations into it; #1,098 of 8,257 by trust here, #3,004 by citations
• Computational Theory and Mathematics — 10 citations into it
• Rheumatology — 9 citations into it
• Atomic and Molecular Physics, and Optics — 5 citations into it

Whom Monica Visan trusts overall

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

1. Terence Tao
2. Sahbi Keraani
3. James E. Colliander
4. F. Merle
5. Rowan Killip
6. Carlos E. Kenig
7. Markus Keel
8. Gigliola Staffilani
9. Mari Cruz Vilela
10. E. Ryckman

Who trusts Monica Visan overall

1. B. Dodson
2. Rowan Killip
3. Vedran Sohinger
4. Terence Tao
5. Benoit Pausader
6. Aynur Bulut
7. Carlos E. Kenig
8. A. Ionescu
9. Xiaoyi Zhang
10. Shuanglin Shao

Papers from Monica Visan's perspective

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

1. Global Solutions of Nonlinear Schrodinger Equations (Journal of Partial Differential Equations)
2. Semilinear Schrodinger Equations
3. Multilinear estimates for periodic KdV equations, and applications
4. Sharp global well-posedness for KdV and modified KdV on ℝ and
5. Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions
6. Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrödinger equation in the radial case
7. Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
8. Existence of blow-up solutions in the energy space for the critical generalized KdV equation
9. Perturbation theory for linear operators
10. Maximal Functions Associated to Filtrations

Their papers

• KdV is well-posed in H–1 (2018) — 186 citations
• Sobolev spaces adapted to the Schrödinger operator with inverse-square potential (2015) — 126 citations
• Quintic NLS in the exterior of a strictly convex obstacle (2012) — 68 citations
• The focusing energy-critical nonlinear Schr\"odinger equation in dimensions five and higher (2008) — 256 citations
• Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions (2007) — 166 citations
• The cubic nonlinear Schr\"odinger equation in two dimensions with radial data (2007) — 251 citations
• The mass-critical nonlinear Schr\"odinger equation with radial data in dimensions three and higher (2007) — 172 citations
• Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in R 1+4 (2007) — 263 citations
• Minimal-mass blowup solutions of the mass-critical NLS (2006) — 159 citations
• The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities (2005) — 353 citations
• The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions (2005) — 294 citations