Luis Vega

Mathematical Physics · 2001–2011

A researcher in the Science corpus: 17 papers; trusts 13 researchers and is trusted by 31 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 27 citations into it; #757 of 8,562 by trust here, #384 by citations
• Applied Mathematics — 25 citations into it; #685 of 7,620 by trust here, #529 by citations
• Computational Theory and Mathematics — 5 citations into it; #3,013 of 12,182 by trust here, #6,463 by citations

Whom Luis Vega trusts overall

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

1. Shuanglin Shao
2. Aynur Bulut
3. Ronald A. DeVore
4. Gigliola Staffilani
5. Damiano Foschi
6. Carlos E. Kenig
7. Markus Kunze
8. Guergana Petrova
9. Michael Christ
10. D. Tataru

Who trusts Luis Vega overall

1. B. Dodson
2. Herbert Koch
3. Luis Escauriaza
4. Michael Christ
5. D. Tataru
6. A. Alexandrou Himonas
7. James E. Colliander
8. F. J. Fernández
9. Terence Tao
10. Zihua Guo

Papers from Luis Vega's perspective

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

1. Maximizers for the Strichartz and the Sobolev-Strichartz inequalities for the Schrödinger equation
2. STRICHARTZ ESTIMATES FOR A SCHRÖDINGER OPERATOR WITH NONSMOOTH COEFFICIENTS
3. Maximizers for the Strichartz Inequality
4. Maximizers for the Strichartz Inequalities for the wave equation (Differential and Integral Equations)
5. Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential
6. Imaginary powers of Laplace operators
7. Existence of Extremals for a Fourier Restriction Inequality
8. On localization in the continuous Anderson-Bernoulli model in higher dimension
9. Hermite functions and uncertainty principles for the Fourier and the windowed Fourier transforms
10. The averaging lemma

Their papers

• Carleman inequalities and the heat operator II (2001) — 66 citations
• On the existence of maximizers for a family of restriction theorems (2010) — 64 citations
• Existence of maximizers for Sobolev–Strichartz inequalities (2011) — 47 citations
• The Hardy Uncertainty Principle Revisited (2010) — 59 citations
• Endpoint Strichartz estimates for the magnetic Schrodinger equation (2009) — 132 citations
• Hardy's uncertainty principle, convexity and Schrödinger evolutions (2008) — 99 citations
• Bilinear virial identities and applications (2007) — 173 citations
• Counterexamples of Strichartz Inequalities for Schrodinger Equations with Repulsive Potentials (2006) — 76 citations
• On uniqueness properties of solutions of the k-generalized KdV equations (2006) — 107 citations
• On Uniqueness Properties of Solutions of Schrödinger Equations (2006) — 142 citations
• The Cauchy problem for quasi-linear Schrödinger equations (2004) — 140 citations
• A real space method for averaging lemmas (2004) — 53 citations
• L2 stability of solitons for KdV equation (2003) — 85 citations
• On unique continuation for nonlinear Schrödinger equations (2003) — 103 citations
• Global wellposedness for 1D non-linear Schrödinger equation for data with an infinite L2 norm (2001) — 82 citations
• A NOTE ON THE NONLINEAR SCHRÖDINGER EQUATION IN WEAK Lp SPACES (2001) — 49 citations
• On the ill-posedness of some canonical dispersive equations (2001) — 429 citations