Ozawa, Tohru; Tomioka, Kenta Schrödinger-improved Boussinesq system in two space dimensions. (English) Zbl 1490.35439 J. Evol. Equ. 22, No. 2, Paper No. 35, 16 p. (2022). MSC: 35Q55 35Q41 35Q53 35A35 35B30 35L70 35D35 35A01 35A02 76Q05 PDFBibTeX XMLCite \textit{T. Ozawa} and \textit{K. Tomioka}, J. Evol. Equ. 22, No. 2, Paper No. 35, 16 p. (2022; Zbl 1490.35439) Full Text: DOI arXiv
Ozawa, Tohru; Tomioka, Kenta Zakharov system in two space dimensions. (English) Zbl 1478.35195 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112532, 20 p. (2022). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 35A35 35B30 35A01 35A02 35L70 82D10 PDFBibTeX XMLCite \textit{T. Ozawa} and \textit{K. Tomioka}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112532, 20 p. (2022; Zbl 1478.35195) Full Text: DOI
Fujiwara, Kazumasa; Georgiev, Vladimir; Ozawa, Tohru On global well-posedness for nonlinear semirelativistic equations in some scaling subcritical and critical cases. (English) Zbl 1439.35415 J. Math. Pures Appl. (9) 136, 239-256 (2020). Reviewer: Konstantin Merz (Braunschweig) MSC: 35Q40 35Q55 35A01 35A02 35B45 PDFBibTeX XMLCite \textit{K. Fujiwara} et al., J. Math. Pures Appl. (9) 136, 239--256 (2020; Zbl 1439.35415) Full Text: DOI arXiv
Fujiwara, Kazumasa; Ozawa, Tohru Weighted \(L^p\)-boundedness of convolution type integral operators associated with bilinear estimates in the Sobolev spaces. (English) Zbl 1342.26043 J. Math. Soc. Japan 68, No. 1, 169-191 (2016). Reviewer: Jiří Rákosník (Praha) MSC: 26D10 46E35 PDFBibTeX XMLCite \textit{K. Fujiwara} and \textit{T. Ozawa}, J. Math. Soc. Japan 68, No. 1, 169--191 (2016; Zbl 1342.26043) Full Text: DOI Euclid
Ozawa, Tohru; Machihara, Shuji; Fujiwara, Kazumasa Remark on a semirelativistic equation in the energy space. (English) Zbl 1336.35311 Discrete Contin. Dyn. Syst. 2015, Suppl., 473-478 (2015). MSC: 35Q40 35Q55 PDFBibTeX XMLCite \textit{T. Ozawa} et al., Discrete Contin. Dyn. Syst. 2015, 473--478 (2015; Zbl 1336.35311) Full Text: DOI
Hoshino, Gaku; Ozawa, Tohru Analytic smoothing effect for a system of Schrödinger equations with three wave interaction. (English) Zbl 1329.35281 J. Math. Phys. 56, No. 9, 091513, 17 p. (2015). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q55 35A01 35A02 PDFBibTeX XMLCite \textit{G. Hoshino} and \textit{T. Ozawa}, J. Math. Phys. 56, No. 9, 091513, 17 p. (2015; Zbl 1329.35281) Full Text: DOI
Fujiwara, Kazumasa; Machihara, Shuji; Ozawa, Tohru Well-posedness for the Cauchy problem for a system of semirelativistic equations. (English) Zbl 1319.35205 Commun. Math. Phys. 338, No. 1, 367-391 (2015). MSC: 35Q40 81Q05 35B65 83F05 PDFBibTeX XMLCite \textit{K. Fujiwara} et al., Commun. Math. Phys. 338, No. 1, 367--391 (2015; Zbl 1319.35205) Full Text: DOI
Hoshino, Gaku; Ozawa, Tohru Analytic smoothing effect for nonlinear Schrödinger equation in two space dimensions. (English) Zbl 1304.35643 Osaka J. Math. 51, No. 3, 609-618 (2014). Reviewer: Marin I. Marin (Braşov) MSC: 35Q55 35J10 35Q41 81Q05 PDFBibTeX XMLCite \textit{G. Hoshino} and \textit{T. Ozawa}, Osaka J. Math. 51, No. 3, 609--618 (2014; Zbl 1304.35643) Full Text: Euclid
Hayashi, Nakao; Ozawa, Tohru; Tanaka, Kazunaga On a system of nonlinear Schrödinger equations with quadratic interaction. (English) Zbl 1291.35347 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 4, 661-690 (2013). MSC: 35Q55 35A15 35B44 PDFBibTeX XMLCite \textit{N. Hayashi} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 4, 661--690 (2013; Zbl 1291.35347) Full Text: DOI
Ozawa, T.; Yamauchi, K. Analytic smoothing effect for global solutions to nonlinear Schrödinger equations. (English) Zbl 1185.35264 J. Math. Anal. Appl. 364, No. 2, 492-497 (2010). MSC: 35Q55 35B65 81Q05 PDFBibTeX XMLCite \textit{T. Ozawa} and \textit{K. Yamauchi}, J. Math. Anal. Appl. 364, No. 2, 492--497 (2010; Zbl 1185.35264) Full Text: DOI
Ozawa, T. Remarks on proofs of conservation laws for nonlinear Schrödinger equations. (English) Zbl 1089.35071 Calc. Var. Partial Differ. Equ. 25, No. 3, 403-408 (2006). MSC: 35Q55 35L65 PDFBibTeX XMLCite \textit{T. Ozawa}, Calc. Var. Partial Differ. Equ. 25, No. 3, 403--408 (2006; Zbl 1089.35071) Full Text: DOI Link
Kita, Naoyasu; Ozawa, Tohru Sharp asymptotic behavior of solutions to nonlinear Schrödinger equations with repulsive interactions. (English) Zbl 1068.35157 Commun. Contemp. Math. 7, No. 2, 167-176 (2005). MSC: 35Q55 35B40 PDFBibTeX XMLCite \textit{N. Kita} and \textit{T. Ozawa}, Commun. Contemp. Math. 7, No. 2, 167--176 (2005; Zbl 1068.35157) Full Text: DOI
Machihara, Shuji; Nakanishi, Kenji; Ozawa, Tohru Small global solutions and the nonrelativistic limit for the nonlinear Dirac equation. (English) Zbl 1041.35061 Rev. Mat. Iberoam. 19, No. 1, 179-194 (2003). Reviewer: Hideo Yamagata (Osaka) MSC: 35Q40 35Q55 81Q05 46E35 PDFBibTeX XMLCite \textit{S. Machihara} et al., Rev. Mat. Iberoam. 19, No. 1, 179--194 (2003; Zbl 1041.35061) Full Text: DOI EuDML
Machihara, Shuji; Ozawa, Tohru Interpolation inequalities in Besov spaces. (English) Zbl 1022.46018 Proc. Am. Math. Soc. 131, No. 5, 1553-1556 (2003). Reviewer: Nicolae Popa (Bucureşti) MSC: 46B70 46M35 46E35 PDFBibTeX XMLCite \textit{S. Machihara} and \textit{T. Ozawa}, Proc. Am. Math. Soc. 131, No. 5, 1553--1556 (2003; Zbl 1022.46018) Full Text: DOI
Nakamura, Makoto; Ozawa, Tohru Small data scattering for nonlinear Schrödinger wave and Klein-Gordon equations. (English) Zbl 1121.35086 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 1, No. 2, 435-460 (2002). Reviewer: Song Jiang (Beijing) MSC: 35L70 35Q55 35P25 PDFBibTeX XMLCite \textit{M. Nakamura} and \textit{T. Ozawa}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 1, No. 2, 435--460 (2002; Zbl 1121.35086) Full Text: EuDML
Nakamura, Makoto; Ozawa, Tohru The Cauchy problem for nonlinear Klein-Gordon equations in the Sobolev spaces. (English) Zbl 1006.35068 Publ. Res. Inst. Math. Sci. 37, No. 3, 255-293 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 35L70 35L15 PDFBibTeX XMLCite \textit{M. Nakamura} and \textit{T. Ozawa}, Publ. Res. Inst. Math. Sci. 37, No. 3, 255--293 (2001; Zbl 1006.35068) Full Text: DOI
Nakamura, M.; Ozawa, T. Small solutions to nonlinear Schrödinger equations in the Sobolev spaces. (English) Zbl 0970.35136 J. Anal. Math. 81, 305-329 (2000). Reviewer: Nikita E.Ratanov (Chelyabinsk) MSC: 35Q55 46E35 35P25 PDFBibTeX XMLCite \textit{M. Nakamura} and \textit{T. Ozawa}, J. Anal. Math. 81, 305--329 (2000; Zbl 0970.35136) Full Text: DOI
Nakamura, M.; Ozawa, T. The Cauchy problem for nonlinear wave equations in the homogeneous Sobolev space. (English) Zbl 0960.35066 Ann. Inst. Henri Poincaré, Phys. Théor. 71, No. 2, 199-215 (1999). Reviewer: H.Tanabe (Toyonaka) MSC: 35L70 35L15 35L05 PDFBibTeX XMLCite \textit{M. Nakamura} and \textit{T. Ozawa}, Ann. Inst. Henri Poincaré, Phys. Théor. 71, No. 2, 199--215 (1999; Zbl 0960.35066) Full Text: Numdam EuDML
Nakamura, M.; Ozawa, T. Nonlinear Schrödinger equations in the Sobolev space of critical order. (English) Zbl 0909.35126 J. Funct. Anal. 155, No. 2, 364-380 (1998). Reviewer: L.A.Sakhnovich (Odessa) MSC: 35Q55 PDFBibTeX XMLCite \textit{M. Nakamura} and \textit{T. Ozawa}, J. Funct. Anal. 155, No. 2, 364--380 (1998; Zbl 0909.35126) Full Text: DOI
Ozawa, Tohru; Tsutaya, Kimitoshi; Tsutsumi, Yoshio Global existence and asymptotic behavior of solutions for the Klein-Gordon equations with quadratic nonlinearity in two space dimensions. (English) Zbl 0877.35030 Math. Z. 222, No. 3, 341-362 (1996). Reviewer: J.Ginibre (Orsay) MSC: 35G25 35L15 35L70 PDFBibTeX XMLCite \textit{T. Ozawa} et al., Math. Z. 222, No. 3, 341--362 (1996; Zbl 0877.35030) Full Text: DOI EuDML
Hayashi, Nako; Kato, Keiichi; Ozawa, Tohru Dilation method and smoothing effects of solutions to the Benjamin-Ono equation. (English) Zbl 0847.35129 Proc. R. Soc. Edinb., Sect. A 126, No. 2, 273-285 (1996). MSC: 35Q55 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} et al., Proc. R. Soc. Edinb., Sect. A, Math. 126, No. 2, 273--285 (1996; Zbl 0847.35129) Full Text: DOI
Ozawa, T.; Tsutaya, K.; Tsutsumi, Y. Normal form and global solutions for the Klein-Gordon-Zakharov equations. (English) Zbl 0842.35092 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 12, No. 4, 459-503 (1995). MSC: 35Q40 35A05 35B40 46N20 PDFBibTeX XMLCite \textit{T. Ozawa} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 12, No. 4, 459--503 (1995; Zbl 0842.35092) Full Text: DOI Numdam EuDML
Ginibre, J.; Ozawa, T.; Velo, G. On the existence of the wave operators for a class of nonlinear Schrödinger equations. (English) Zbl 0808.35136 Ann. Inst. Henri Poincaré, Phys. Théor. 60, No. 2, 211-239 (1994). Reviewer: B.A.Malomed (Ramat Aviv) MSC: 35Q55 35L05 PDFBibTeX XMLCite \textit{J. Ginibre} et al., Ann. Inst. Henri Poincaré, Phys. Théor. 60, No. 2, 211--239 (1994; Zbl 0808.35136) Full Text: Numdam EuDML
Ginibre, J.; Ozawa, T. Long range scattering for nonlinear Schrödinger and Hartree equations in space dimension \(n\geq{}2\). (English) Zbl 0776.35070 Commun. Math. Phys. 151, No. 3, 619-645 (1993). Reviewer: A.Tsutsumi (Sakai) MSC: 35Q55 35P25 PDFBibTeX XMLCite \textit{J. Ginibre} and \textit{T. Ozawa}, Commun. Math. Phys. 151, No. 3, 619--645 (1993; Zbl 0776.35070) Full Text: DOI
Hayashi, Nakao; Ozawa, Tohru On the derivative nonlinear Schrödinger equation. (English) Zbl 0741.35081 Physica D 55, No. 1-2, 14-36 (1992). MSC: 35Q55 35K55 35A05 35A07 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{T. Ozawa}, Physica D 55, No. 1--2, 14--36 (1992; Zbl 0741.35081) Full Text: DOI
Ozawa, Tohru Space-time behavior of propagators for Schrödinger evolution equations with Stark effect. (English) Zbl 0748.35035 J. Funct. Anal. 97, No. 2, 264-292 (1991). Reviewer: R.Salvi (Milano) MSC: 35Q40 35G10 35K25 47D06 PDFBibTeX XMLCite \textit{T. Ozawa}, J. Funct. Anal. 97, No. 2, 264--292 (1991; Zbl 0748.35035) Full Text: DOI
Ozawa, Tohru Invariant subspaces for the Schrödinger evolution group. (English) Zbl 0734.35090 Ann. Inst. Henri Poincaré, Phys. Théor. 54, No. 1, 43-57 (1991). Reviewer: Tohru Ozawa MSC: 35Q40 81U30 PDFBibTeX XMLCite \textit{T. Ozawa}, Ann. Inst. Henri Poincaré, Phys. Théor. 54, No. 1, 43--57 (1991; Zbl 0734.35090) Full Text: Numdam EuDML
Ozawa, Tohru Long range scattering for nonlinear Schrödinger equations in one space dimension. (English) Zbl 0742.35043 Commun. Math. Phys. 139, No. 3, 479-493 (1991). MSC: 35P25 35Q55 PDFBibTeX XMLCite \textit{T. Ozawa}, Commun. Math. Phys. 139, No. 3, 479--493 (1991; Zbl 0742.35043) Full Text: DOI
Ozawa, Tohru; Hayashi, Nakao Lower bounds for order of decay or of growth in time for solutions to linear and nonlinear Schrödinger equations. (English) Zbl 0714.35014 Publ. Res. Inst. Math. Sci. 25, No. 6, 847-859 (1989). MSC: 35B40 35Q55 35K15 PDFBibTeX XMLCite \textit{T. Ozawa} and \textit{N. Hayashi}, Publ. Res. Inst. Math. Sci. 25, No. 6, 847--859 (1989; Zbl 0714.35014) Full Text: DOI
Ozawa, Tohru Lower \(L^ p\)-bounds for scattering solutions of the Schrödinger equations. (English) Zbl 0702.35021 Publ. Res. Inst. Math. Sci. 25, No. 4, 579-586 (1989). Reviewer: T.Ozawa MSC: 35B40 35P25 35J10 35Q40 PDFBibTeX XMLCite \textit{T. Ozawa}, Publ. Res. Inst. Math. Sci. 25, No. 4, 579--586 (1989; Zbl 0702.35021) Full Text: DOI
Ozawa, Tohru New \(L^ p\)-estimates for solutions to the Schrödinger equations and time asymptotic behavior of observables. (English) Zbl 0702.35020 Publ. Res. Inst. Math. Sci. 25, No. 4, 521-577 (1989). Reviewer: T.Ozawa MSC: 35B40 35Q40 35J10 PDFBibTeX XMLCite \textit{T. Ozawa}, Publ. Res. Inst. Math. Sci. 25, No. 4, 521--577 (1989; Zbl 0702.35020) Full Text: DOI
Hayashi, Nakao; Ozawa, Tohru Smoothing effect for some Schrödinger equations. (English) Zbl 0681.35079 J. Funct. Anal. 85, No. 2, 307-348 (1989). Reviewer: N.Hayashi MSC: 35Q99 35K15 35D10 35J10 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{T. Ozawa}, J. Funct. Anal. 85, No. 2, 307--348 (1989; Zbl 0681.35079) Full Text: DOI
Hayashi, Nakao; Ozawa, Tohru Time decay for some Schrödinger equations. (English) Zbl 0646.35020 Math. Z. 200, No. 4, 467-483 (1989). Reviewer: N.Hayashi MSC: 35J10 35B40 35B05 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{T. Ozawa}, Math. Z. 200, No. 4, 467--483 (1989; Zbl 0646.35020) Full Text: DOI EuDML
Hayashi, Nakao; Ozawa, Tohru Scattering theory in the weighted \(L^ 2({\mathbb{R}}^ n)\) spaces for some Schrödinger equations. (English) Zbl 0659.35078 Ann. Inst. Henri Poincaré, Phys. Théor. 48, No. 1, 17-37 (1988). MSC: 35P25 35J10 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{T. Ozawa}, Ann. Inst. Henri Poincaré, Phys. Théor. 48, No. 1, 17--37 (1988; Zbl 0659.35078) Full Text: Numdam EuDML
Hayashi, Nakao; Ozawa, Tohru Time decay of solutions to the Cauchy problem for time-dependent Schrödinger-Hartree equations. (English) Zbl 0648.35078 Commun. Math. Phys. 110, 467-478 (1987). MSC: 35Q99 35G20 35B65 35B35 PDFBibTeX XMLCite \textit{N. Hayashi} and \textit{T. Ozawa}, Commun. Math. Phys. 110, 467--478 (1987; Zbl 0648.35078) Full Text: DOI