What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (56.21%)
- Mathematical physics (33.73%)
- Nonlinear system (31.66%)
What were the highlights of his more recent work (between 2014-2021)?
- Mathematical analysis (56.21%)
- Mathematical physics (33.73%)
- Type (12.13%)
In recent papers he was focusing on the following fields of study:
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.
Between 2014 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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