Tohru Ozawa

Applied Mathematics · 2001–2016

A researcher in the Science corpus: 12 papers; trusts 5 researchers and is trusted by 9 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 27 citations into it; #3,117 of 7,620 by trust here, #2,192 by citations
• Mathematical Physics — 23 citations into it; #4,500 of 8,562 by trust here, #2,582 by citations
• Statistical and Nonlinear Physics — 10 citations into it; #8,622 of 10,127 by trust here, #9,324 by citations

Whom Tohru Ozawa trusts overall

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

1. Shubin Wang
2. Yves Meyer
3. Yonggeun Cho
4. E. Lenzmann

Who trusts Tohru Ozawa overall

1. Yonggeun Cho
2. Michael Ruzhansky
3. Shubin Wang
4. Hichem Hajaiej

Papers from Tohru Ozawa's perspective

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

1. Semilinear Schrodinger Equations
2. Blowup for nonlinear wave equations describing boson stars
3. Well-posedness for Semi-relativistic Hartree Equations of Critical Type
4. Maximal Functions Associated to Filtrations
5. Remarks on some dispersive estimates
6. A partial regularity result for a class of Stationary Yang-Mills Fields in high dimension
7. Weighted Strichartz estimates with angular regularity and their applications
8. Strichartz Estimates in Spherical Coordinates
9. A Nonlinear Dirichlet Problem on the Unit Ball
10. Linear Algebra

Their papers

• Well-posedness for a generalized derivative nonlinear Schrödinger equation (2016) — 51 citations
• Sharp remainder of a critical Hardy inequality (2016) — 49 citations
• On the Cauchy Problem of Fractional Schrödinger Equation with Hartree Type Nonlinearity (2012) — 129 citations
• Necessary and Sucient Conditions for the Fractional Gagliardo-Nirenberg Inequalities and Applications to Navier-Stokes and Generalized Boson Equations (2011) — 133 citations
• Necessary and Sufficient Conditions for the Fractional Gagliardo-Nirenberg Inequalities and Applications to Navier-Stokes and Generalized Boson Equations (Harmonic Analysis and Nonlinear Partial Differential Equations) (2011) — 76 citations
• Remarks on some dispersive estimates (2011) — 88 citations
• Sobolev inequalities with symmetry (2009) — 134 citations
• On small amplitude solutions to the generalized Boussinesq equations (2006) — 81 citations
• Small global solutions and the nonrelativistic limit for the nonlinear Dirac equation (2003) — 90 citations
• Interpolation inequalities in Besov spaces (2002) — 115 citations
• Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations (2002) — 170 citations
• The Cauchy Problem for Nonlinear Klein-Gordon Equations in the Sobolev Spaces (2001) — 87 citations