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
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.
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.
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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Long range scattering for nonlinear Schrödinger equations in one space dimension
Communications in Mathematical Physics (1991)
On Critical Cases of Sobolev′s Inequalities
Journal of Functional Analysis (1995)
On the derivative nonlinear Schro¨dinger equation
Nakao Hayashi;Tohru Ozawa.
Physica D: Nonlinear Phenomena (1992)
Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation
Shuji Machihara;Makoto Nakamura;Kenji Nakanishi;Tohru Ozawa.
Journal of Functional Analysis (2005)
Long range scattering for non-linear Schrödinger and Hartree equations in space dimension n≥2
J. Ginibre;T. Ozawa.
Communications in Mathematical Physics (1993)
Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations
Shuji Machihara;Kenji Nakanishi;Tohru Ozawa.
Mathematische Annalen (2002)
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)
On the nonlinear Schrödinger equations of derivative type
Indiana University Mathematics Journal (1996)
Finite energy solutions of nonlinear Schro¨dinger equations of derivative type
Nakao Hayashi;Tohru Ozawa.
Siam Journal on Mathematical Analysis (1994)
Interpolation inequalities in Besov spaces
Shuji Machihara;Shuji Machihara;Tohru Ozawa.
Proceedings of the American Mathematical Society (2002)
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