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- Tohru Ozawa

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
44
Citations
6,424
285
World Ranking
1106
National Ranking
15

- Mathematical analysis
- Quantum mechanics
- Algebra

Mathematical analysis, Nonlinear system, Schrödinger equation, Mathematical physics and Nonlinear Schrödinger equation are his primary areas of study. His Mathematical analysis research is multidisciplinary, incorporating elements of Type and Klein–Gordon equation. His Nonlinear system study combines topics in areas such as Hartree, Scattering, Zero, Charge and Gauge theory.

His Schrödinger equation study also includes

- Schrödinger's cat together with Inequality and Hartree equation,
- D'Alembert operator and related Range. His research in Mathematical physics intersects with topics in Wave equation and Scattering theory, Scattering operator. His study looks at the relationship between Nonlinear Schrödinger equation and fields such as Split-step method, as well as how they intersect with chemical problems.

- Long range scattering for nonlinear Schrödinger equations in one space dimension (227 citations)
- On Critical Cases of Sobolev′s Inequalities (148 citations)
- On the derivative nonlinear Schro¨dinger equation (140 citations)

His primary areas of study are Mathematical analysis, Mathematical physics, Nonlinear system, Schrödinger equation and Initial value problem. Tohru Ozawa frequently studies issues relating to Navier stokes and Mathematical analysis. His Mathematical physics research focuses on Partial differential equation and how it relates to Applied mathematics.

His work deals with themes such as Space dimension, Scattering and Type, which intersect with Nonlinear system. Tohru Ozawa performs integrative study on Schrödinger equation and Smoothing in his works. His Sobolev inequality study in the realm of Sobolev space connects with subjects such as Sobolev spaces for planar domains.

- Mathematical analysis (56.21%)
- Mathematical physics (33.73%)
- Nonlinear system (31.66%)

- Mathematical analysis (56.21%)
- Mathematical physics (33.73%)
- Type (12.13%)

Tohru Ozawa mainly investigates Mathematical analysis, Mathematical physics, Type, Nonlinear system and Pure mathematics. Mathematical analysis and Navier stokes are frequently intertwined in his study. His Mathematical physics research incorporates themes from Superconductivity, Ginzburg landau, Partial differential equation and Schrödinger equation.

His work on Nonlinear Schrödinger equation as part of his general Schrödinger equation study is frequently connected to Small data, thereby bridging the divide between different branches of science. In his study, which falls under the umbrella issue of Nonlinear system, Strichartz estimate is strongly linked to Power. His Space research is multidisciplinary, relying on both Nabla symbol and Sobolev space.

- Sharp remainder of a critical Hardy inequality (31 citations)
- Well-posedness for a generalized derivative nonlinear Schrödinger equation (30 citations)
- An improvement on the Brézis–Gallouët technique for 2D NLS and 1D half-wave equation (22 citations)

- Mathematical analysis
- Quantum mechanics
- Algebra

Tohru Ozawa spends much of his time researching Mathematical analysis, Type, Nonlinear system, Mathematical physics and Pure mathematics. His research in the fields of Space and Nonlinear Schrödinger equation overlaps with other disciplines such as Finite time and Space time. Tohru Ozawa has included themes like Range, Hartree, Scattering, Quantum electrodynamics and Euclidean geometry in his Type study.

His Nonlinear system research includes elements of Power, Energy and Schrödinger equation. In the field of Schrödinger equation, his study on Theoretical and experimental justification for the Schrödinger equation, Quantum superposition and Schrödinger field overlaps with subjects such as Smoothing. His Mathematical physics study incorporates themes from Burgers' equation, Partial differential equation, First-order partial differential equation, Differential equation and Superconductivity.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Long range scattering for nonlinear Schrödinger equations in one space dimension

Tohru Ozawa.

Communications in Mathematical Physics **(1991)**

351 Citations

On Critical Cases of Sobolev′s Inequalities

T. Ozawa.

Journal of Functional Analysis **(1995)**

248 Citations

On the derivative nonlinear Schro¨dinger equation

Nakao Hayashi;Tohru Ozawa.

Physica D: Nonlinear Phenomena **(1992)**

236 Citations

Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation

Shuji Machihara;Makoto Nakamura;Kenji Nakanishi;Tohru Ozawa.

Journal of Functional Analysis **(2005)**

200 Citations

Long range scattering for non-linear Schrödinger and Hartree equations in space dimension n≥2

J. Ginibre;T. Ozawa.

Communications in Mathematical Physics **(1993)**

188 Citations

Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations

Shuji Machihara;Kenji Nakanishi;Tohru Ozawa.

Mathematische Annalen **(2002)**

174 Citations

Remarks on nonlinear Schrödinger equations in one space dimension

Nakao Hayashi;Tohru Ozawa;Tohru Ozawa;Tohru Ozawa;J. L. Bona.

Differential and Integral Equations **(1994)**

144 Citations

On the nonlinear Schrödinger equations of derivative type

T. Ozawa.

Indiana University Mathematics Journal **(1996)**

143 Citations

Finite energy solutions of nonlinear Schro¨dinger equations of derivative type

Nakao Hayashi;Tohru Ozawa.

Siam Journal on Mathematical Analysis **(1994)**

142 Citations

Interpolation inequalities in Besov spaces

Shuji Machihara;Shuji Machihara;Tohru Ozawa.

Proceedings of the American Mathematical Society **(2002)**

141 Citations

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