Nakamura, Shu Long-range scattering matrix for Schrödinger-type operators. (English) Zbl 1504.35205 Anal. PDE 15, No. 7, 1725-1762 (2022). MSC: 35P25 35J10 35S30 58J50 81U05 PDFBibTeX XMLCite \textit{S. Nakamura}, Anal. PDE 15, No. 7, 1725--1762 (2022; Zbl 1504.35205) Full Text: DOI arXiv
Exner, Pavel; Nakamura, Shu; Tadano, Yukihide Continuum limit of the lattice quantum graph Hamiltonian. (English) Zbl 1513.81068 Lett. Math. Phys. 112, No. 4, Paper No. 83, 15 p. (2022). MSC: 81Q35 35J10 47B39 PDFBibTeX XMLCite \textit{P. Exner} et al., Lett. Math. Phys. 112, No. 4, Paper No. 83, 15 p. (2022; Zbl 1513.81068) Full Text: DOI arXiv
Kameoka, Kentaro; Nakamura, Shu Resonances and viscosity limit for the Wigner-von Neumann-type Hamiltonian. (English) Zbl 1471.35106 Pure Appl. Anal. 2, No. 4, 861-873 (2020). Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk) MSC: 35J10 35P25 PDFBibTeX XMLCite \textit{K. Kameoka} and \textit{S. Nakamura}, Pure Appl. Anal. 2, No. 4, 861--873 (2020; Zbl 1471.35106) Full Text: DOI arXiv
Martinez, André; Nakamura, Shu; Sordoni, Vania Propagation of analytic singularities for short and long range perturbations of the free Schrödinger equation. (English) Zbl 1426.35100 Hitrik, Michael (ed.) et al., Algebraic and analytic microlocal analysis. AAMA, Evanston, Illinois, USA, May 14–26, 2012 and May 20–24, 2013. Contributions of the workshops. Cham: Springer. Springer Proc. Math. Stat. 269, 575-587 (2018). Reviewer: Petar Popivanov (Sofia) MSC: 35J10 35A21 35A18 PDFBibTeX XMLCite \textit{A. Martinez} et al., Springer Proc. Math. Stat. 269, 575--587 (2018; Zbl 1426.35100) Full Text: DOI
Behrndt, Jussi; Gesztesy, Fritz; Nakamura, Shu Spectral shift functions and Dirichlet-to-Neumann maps. (English) Zbl 1417.35016 Math. Ann. 371, No. 3-4, 1255-1300 (2018). Reviewer: Petr Zemánek (Brno) MSC: 35J15 35J10 47B25 47A10 47A40 PDFBibTeX XMLCite \textit{J. Behrndt} et al., Math. Ann. 371, No. 3--4, 1255--1300 (2018; Zbl 1417.35016) Full Text: DOI arXiv
Nakamura, Shu Microlocal resolvent estimates, revisited. (English) Zbl 1515.35022 J. Math. Sci., Tokyo 24, No. 2, 239-257 (2017). MSC: 35A27 35J10 35P25 81U05 PDFBibTeX XMLCite \textit{S. Nakamura}, J. Math. Sci., Tokyo 24, No. 2, 239--257 (2017; Zbl 1515.35022) Full Text: arXiv Link
Behrndt, Jussi; Gesztesy, Fritz; Nakamura, Shu A spectral shift function for Schrödinger operators with singular interactions. arXiv:1710.03367 Preprint, arXiv:1710.03367 [math.SP] (2017). MSC: 35J10 35J15 47A10 47A40 47B25 35P20 35P25 47A55 47B10 47F05 81Q10 BibTeX Cite \textit{J. Behrndt} et al., ``A spectral shift function for Schr\"{o}dinger operators with singular interactions'', Preprint, arXiv:1710.03367 [math.SP] (2017) Full Text: arXiv OA License
Horie, Kazuki; Nakamura, Shu Propagation of singularities for Schrödinger equations with modestly long range type potentials. (English) Zbl 1305.35027 Publ. Res. Inst. Math. Sci. 50, No. 3, 477-496 (2014). MSC: 35J15 35B65 35P25 35A27 35J10 35A21 PDFBibTeX XMLCite \textit{K. Horie} and \textit{S. Nakamura}, Publ. Res. Inst. Math. Sci. 50, No. 3, 477--496 (2014; Zbl 1305.35027) Full Text: DOI arXiv
Ito, Kenichi; Nakamura, Shu Remarks on the fundamental solution to Schrödinger equation with variable coefficients. (English. French summary) Zbl 1251.35102 Ann. Inst. Fourier 62, No. 3, 1091-1121 (2012). MSC: 35Q41 35P25 81Q05 PDFBibTeX XMLCite \textit{K. Ito} and \textit{S. Nakamura}, Ann. Inst. Fourier 62, No. 3, 1091--1121 (2012; Zbl 1251.35102) Full Text: DOI arXiv
Ito, Kenichi; Nakamura, Shu Schrödinger equations on scattering manifolds and microlocal singularities. (English) Zbl 1217.58020 RIMS Kôkyûroku Bessatsu B16, 91-100 (2010). Reviewer: Luigi Rodino (Torino) MSC: 58J50 58J40 81U20 58J47 PDFBibTeX XMLCite \textit{K. Ito} and \textit{S. Nakamura}, RIMS Kôkyûroku Bessatsu B16, 91--100 (2010; Zbl 1217.58020)
Martinez, André; Nakamura, Shu; Sordoni, Vania Analytic wave front set for solutions to Schrödinger equations. II: Long range perturbations. (English) Zbl 1214.35055 Commun. Partial Differ. Equations 35, No. 10-12, 2279-2309 (2010). Reviewer: Viorel Iftimie (Bucureşti) MSC: 35Q40 35B65 35A18 35A20 35J10 35A27 PDFBibTeX XMLCite \textit{A. Martinez} et al., Commun. Partial Differ. Equations 35, No. 10--12, 2279--2309 (2010; Zbl 1214.35055) Full Text: DOI arXiv
Klopp, Frédéric; Nakamura, Shu Spectral extrema and Lifshitz tails for non-monotonous alloy type models. (English) Zbl 1198.35065 Commun. Math. Phys. 287, No. 3, 1133-1143 (2009). MSC: 35J10 81Q10 35R60 60H25 PDFBibTeX XMLCite \textit{F. Klopp} and \textit{S. Nakamura}, Commun. Math. Phys. 287, No. 3, 1133--1143 (2009; Zbl 1198.35065) Full Text: DOI arXiv
Ito, Kenichi; Nakamura, Shu Singularities of solutions to the Schrödinger equation on scattering manifold. (English) Zbl 1186.35004 Am. J. Math. 131, No. 6, 1835-1865 (2009). Reviewer: Xavier Antoine (Vandœuvre-lès-Nancy) MSC: 35A20 35Q41 35A27 35A18 58J32 PDFBibTeX XMLCite \textit{K. Ito} and \textit{S. Nakamura}, Am. J. Math. 131, No. 6, 1835--1865 (2009; Zbl 1186.35004) Full Text: DOI arXiv
Martinez, André; Nakamura, Shu; Sordoni, Vania Analytic wave front set for solutions to Schrödinger equations. (English) Zbl 1180.35016 Adv. Math. 222, No. 4, 1277-1307 (2009). Reviewer: Viorel Iftimie (Bucureşti) MSC: 35A21 35A18 35A20 35A27 35J10 PDFBibTeX XMLCite \textit{A. Martinez} et al., Adv. Math. 222, No. 4, 1277--1307 (2009; Zbl 1180.35016) Full Text: DOI arXiv
Mao, Shikuan; Nakamura, Shu Wave front set for solutions to perturbed harmonic oscillators. (English) Zbl 1178.35013 Commun. Partial Differ. Equations 34, No. 5, 506-519 (2009). Reviewer: Luigi Rodino (Torino) MSC: 35A18 35J10 35A21 35Q40 PDFBibTeX XMLCite \textit{S. Mao} and \textit{S. Nakamura}, Commun. Partial Differ. Equations 34, No. 5, 506--519 (2009; Zbl 1178.35013) Full Text: DOI arXiv
Nakamura, Shu Semiclassical singularities propagation property for Schrödinger equations. (English) Zbl 1176.35045 J. Math. Soc. Japan 61, No. 1, 177-211 (2009). Reviewer: K. Kajitani (Ibaraki) MSC: 35B65 35P25 35A27 PDFBibTeX XMLCite \textit{S. Nakamura}, J. Math. Soc. Japan 61, No. 1, 177--211 (2009; Zbl 1176.35045) Full Text: DOI arXiv
Nakamura, Shu Wave front set for solutions to Schrödinger equations. (English) Zbl 1155.35014 J. Funct. Anal. 256, No. 4, 1299-1309 (2009). MSC: 35J10 35Q55 PDFBibTeX XMLCite \textit{S. Nakamura}, J. Funct. Anal. 256, No. 4, 1299--1309 (2009; Zbl 1155.35014) Full Text: DOI
Martinez, André; Nakamura, Shu; Sordoni, Vania Propagation of analytic singularities for the Schrödinger equation. (English) Zbl 1176.35006 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2007-2008, Exp. No. XVIII, 14 p. (2008). Reviewer: Michael Perelmuter (Kyïv) MSC: 35A21 35J10 35A18 35A20 58J50 PDFBibTeX XMLCite \textit{A. Martinez} et al., Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2007--2008, Exp. No. XVIII, 14 p. (2008; Zbl 1176.35006) Full Text: EuDML
Klopp, Frédéric; Nakamura, Shu Lifshitz tails for some non monotonous random models. (English) Zbl 1176.35184 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2007-2008, Exp. No. XIV, 7 p. (2008). MSC: 35R60 35J10 35B40 PDFBibTeX XMLCite \textit{F. Klopp} and \textit{S. Nakamura}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2007--2008, Exp. No. XIV, 7 p. (2008; Zbl 1176.35184) Full Text: EuDML
Martinez, Andre; Nakamura, Shu; Sordoni, Vania Analytic smoothing effect for the Schrödinger equation with long-range perturbation. (English) Zbl 1122.35027 Commun. Pure Appl. Math. 59, No. 9, 1330-1351 (2006). Reviewer: K. Kajitani (Ibaraki) MSC: 35J10 35A20 35B65 PDFBibTeX XMLCite \textit{A. Martinez} et al., Commun. Pure Appl. Math. 59, No. 9, 1330--1351 (2006; Zbl 1122.35027) Full Text: DOI Link
Nakamura, Shu Propagation of the homogeneous wave front set for Schrödinger equations. (English) Zbl 1130.35023 Duke Math. J. 126, No. 2, 349-367 (2005). MSC: 35B65 35J10 PDFBibTeX XMLCite \textit{S. Nakamura}, Duke Math. J. 126, No. 2, 349--367 (2005; Zbl 1130.35023) Full Text: DOI
Nakamura, Shu A remark on the Lifshitz tail for Schrödinger operator with random magnetic field. (English) Zbl 1019.81015 Proc. Indian Acad. Sci., Math. Sci. 112, No. 1, 183-187 (2002). Reviewer: T.Ichinose (Kanazawa) MSC: 81Q10 35J10 81P20 35R35 PDFBibTeX XMLCite \textit{S. Nakamura}, Proc. Indian Acad. Sci., Math. Sci. 112, No. 1, 183--187 (2002; Zbl 1019.81015) Full Text: DOI
Nakamura, Shu Lifshitz tail for Schrödinger operator with random magnetic field. (English) Zbl 1018.81011 Commun. Math. Phys. 214, No. 3, 565-572 (2000). Reviewer: Farruh Mukhamedov (Tashkent) MSC: 81Q10 35J10 35R35 PDFBibTeX XMLCite \textit{S. Nakamura}, Commun. Math. Phys. 214, No. 3, 565--572 (2000; Zbl 1018.81011) Full Text: DOI
Nakamura, Shu Lifshitz tail for 2D discrete Schrödinger operator with random magnetic field. (English) Zbl 1079.82537 Ann. Henri Poincaré 1, No. 5, 823-835 (2000). MSC: 82B44 35J10 35R60 39A70 81Q10 47B80 PDFBibTeX XMLCite \textit{S. Nakamura}, Ann. Henri Poincaré 1, No. 5, 823--835 (2000; Zbl 1079.82537) Full Text: DOI
Nakamura, Shu Gaussian decay estimates for the eigenfunctions of magnetic Schrödinger operators. (English) Zbl 0855.35093 Commun. Partial Differ. Equations 21, No. 5-6, 993-1006 (1996). Reviewer: A.Martinez (Villetaneuse) MSC: 35P05 35J10 35Q40 PDFBibTeX XMLCite \textit{S. Nakamura}, Commun. Partial Differ. Equations 21, No. 5--6, 993--1006 (1996; Zbl 0855.35093) Full Text: DOI
Nakamura, S. Band spectrum for Schrödinger operators with strong periodic magnetic fields. (English) Zbl 0843.35066 Demuth, M. (ed.) et al., Partial differential operators and mathematical physics. International conference in Holzhau, Germany, July 3-9, 1994. Basel: Birkhäuser Verlag. Oper. Theory, Adv. Appl. 78, 261-270 (1995). Reviewer: D.R.Yafaev (Rennes) MSC: 35P15 35J10 35Q40 PDFBibTeX XMLCite \textit{S. Nakamura}, in: Partial differential operators and mathematical physics. International conference in Holzhau, Germany, July 3-9, 1994. Basel: Birkhäuser Verlag. 261--270 (1995; Zbl 0843.35066)
Nakamura, Shu Topics concerning the spectra of Schrödinger operators in strong magnetic fields. (Japanese) Zbl 0900.81066 Ichinose, Takashi (ed.), Spectral and scattering theory and related topics. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, November 14–16, 1994. Kyoto: Kyoto Univ., Research Institute for Mathematical Sciences, RIMS Kôkyûroku. 905, 114-120 (1995). MSC: 81V10 35J10 35P05 PDFBibTeX XMLCite \textit{S. Nakamura}, in: Spectral and scattering theory and related topics. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, November 14--16, 1994. Kyoto: Kyoto Univ., Research Institute for Mathematical Sciences. 114--120 (1995; Zbl 0900.81066)
Nakamura, Shu Resolvent estimates and time-decay in the semiclassical limit. (English) Zbl 0791.35112 Robert, D. (ed.), Méthodes semi-classiques, Volume 2. Colloque international (Nantes, juin 1991). Paris: Société Mathématique de France, Astérisque. 210, 247-262 (1992). Reviewer: D.R.Yafaev (Rennes) MSC: 35Q40 81Q20 35J10 PDFBibTeX XMLCite \textit{S. Nakamura}, in: Méthodes semi-classiques, Volume 2. Colloque international (Nantes, juin 1991). Paris: Société Mathématique de France. 247--262 (1992; Zbl 0791.35112)
Jensen, Arne; Nakamura, Shu On the mapping properties of the wave operators in scattering theory. (English) Zbl 0947.81559 Schmüdgen, K. (ed.), Mathematical physics X. Proceedings of the 10th congress on mathematical physics, Leipzig, Germany, July 30 - August 9, 1991. Berlin: Springer-Verlag. 447-450 (1992). MSC: 81U05 35J10 35P25 47A40 47F05 47N50 PDFBibTeX XMLCite \textit{A. Jensen} and \textit{S. Nakamura}, in: Mathematical physics X. Proceedings of the 10th congress on mathematical physics, Leipzig, Germany, July 30 -- August 9, 1991. Berlin: Springer-Verlag. 447--450 (1992; Zbl 0947.81559)
Nakamura, Shu Semiclassical resolvent estimates for the barrier top energy. (English) Zbl 0741.35051 Commun. Partial Differ. Equations 16, No. 4-5, 873-883 (1991). Reviewer: D.Robert (Nantes) MSC: 35P25 35J10 PDFBibTeX XMLCite \textit{S. Nakamura}, Commun. Partial Differ. Equations 16, No. 4--5, 873--883 (1991; Zbl 0741.35051) Full Text: DOI
Nakamura, S. Distortion analyticity for two-body Schrödinger operators. (English) Zbl 0736.35026 Ann. Inst. Henri Poincaré, Phys. Théor. 53, No. 2, 149-157 (1990). Reviewer: J.Asch (Berlin) MSC: 35J10 35Q40 PDFBibTeX XMLCite \textit{S. Nakamura}, Ann. Inst. Henri Poincaré, Phys. Théor. 53, No. 2, 149--157 (1990; Zbl 0736.35026) Full Text: Numdam EuDML
Hislop, Peter D.; Nakamura, Shu Semiclassical resolvent estimates. (English) Zbl 0719.35064 Ann. Inst. Henri Poincaré, Phys. Théor. 51, No. 2, 187-198 (1989). Reviewer: M.Thompson (Porto Alegre) MSC: 35P25 35J10 81U10 PDFBibTeX XMLCite \textit{P. D. Hislop} and \textit{S. Nakamura}, Ann. Inst. Henri Poincaré, Phys. Théor. 51, No. 2, 187--198 (1989; Zbl 0719.35064) Full Text: Numdam EuDML
Nakamura, Shu Shape resonances for distortion analytic Schrödinger operators. (English) Zbl 0699.35204 Commun. Partial Differ. Equations 14, No. 10, 1385-1419 (1989). Reviewer: R.Racke MSC: 35P99 35J10 PDFBibTeX XMLCite \textit{S. Nakamura}, Commun. Partial Differ. Equations 14, No. 10, 1385--1419 (1989; Zbl 0699.35204) Full Text: DOI
Nakamura, Shu Scattering theory for the shape resonance model. II: Resonance scattering. (English) Zbl 0686.35091 Ann. Inst. Henri Poincaré, Phys. Théor. 50, No. 2, 133-142 (1989). Reviewer: D.Yafaev MSC: 35P25 35J10 PDFBibTeX XMLCite \textit{S. Nakamura}, Ann. Inst. Henri Poincaré, Phys. Théor. 50, No. 2, 133--142 (1989; Zbl 0686.35091) Full Text: Numdam EuDML
Nakamura, Shu Scattering theory for the shape resonance model. I: Non-resonant energies. (English) Zbl 0686.35090 Ann. Inst. Henri Poincaré, Phys. Théor. 50, No. 2, 115-131 (1989). Reviewer: D.Yafaev MSC: 35P25 35J10 PDFBibTeX XMLCite \textit{S. Nakamura}, Ann. Inst. Henri Poincaré, Phys. Théor. 50, No. 2, 115--131 (1989; Zbl 0686.35090) Full Text: Numdam EuDML
Nakamura, Shu A note on the absence of resonances for Schrödinger operators. (English) Zbl 0688.35073 Lett. Math. Phys. 16, No. 3, 217-223 (1988). Reviewer: H.Kalf MSC: 35P99 35J10 47B25 PDFBibTeX XMLCite \textit{S. Nakamura}, Lett. Math. Phys. 16, No. 3, 217--223 (1988; Zbl 0688.35073) Full Text: DOI
Nakamura, Shu Integral kernels of the scattering matrices for time-periodic Schrödinger equations. (English) Zbl 0652.35094 J. Funct. Anal. 76, No. 1, 176-192 (1988). Reviewer: A.M.Zapala MSC: 35P25 35J10 81U20 35B65 35B05 PDFBibTeX XMLCite \textit{S. Nakamura}, J. Funct. Anal. 76, No. 1, 176--192 (1988; Zbl 0652.35094) Full Text: DOI
Nakamura, Shu Time-delay and Lavine’s formula. (English) Zbl 0639.35021 Commun. Math. Phys. 109, 397-415 (1987). MSC: 35J10 35Q99 PDFBibTeX XMLCite \textit{S. Nakamura}, Commun. Math. Phys. 109, 397--415 (1987; Zbl 0639.35021) Full Text: DOI
Nakamura, Shu Scattering operators for time-periodic Schrödinger equations. (English) Zbl 0658.35071 Spectral and scattering theory for differential operators, Proc. Conf., Fujisakura-so/Jap. 1986, 109-124 (1986). Reviewer: S.Nakamura MSC: 35P25 81U05 35J10 PDFBibTeX XML
Nakamura, Shu Asymptotic completeness for three-body Schrödinger equations with time- periodic potentials. (English) Zbl 0622.35057 J. Fac. Sci., Univ. Tokyo, Sect. I A 33, 379-402 (1986). MSC: 35P25 35J10 81U10 PDFBibTeX XMLCite \textit{S. Nakamura}, J. Fac. Sci., Univ. Tokyo, Sect. I A 33, 379--402 (1986; Zbl 0622.35057)
Nakamura, Shu Structure of the scattering operator for time-periodic Schrödinger equations. (English) Zbl 0598.35084 J. Math. Soc. Japan 38, 261-273 (1986). Reviewer: R.Racke MSC: 35P25 35J10 35B10 PDFBibTeX XMLCite \textit{S. Nakamura}, J. Math. Soc. Japan 38, 261--273 (1986; Zbl 0598.35084) Full Text: DOI