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 PDF BibTeX XML Cite \textit{A. Martinez} et al., Springer Proc. Math. Stat. 269, 575--587 (2018; Zbl 1426.35100) Full Text: DOI
Su, Xifeng; Thieullen, Philippe Convergence of discrete Aubry-Mather model in the continuous limit. (English) Zbl 1394.37097 Nonlinearity 31, No. 5, 2126-2156 (2018). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J40 37J45 37J50 70H09 PDF BibTeX XML Cite \textit{X. Su} and \textit{P. Thieullen}, Nonlinearity 31, No. 5, 2126--2156 (2018; Zbl 1394.37097) Full Text: DOI arXiv
Christiansen, Peter L.; Iermakova, Sofia V.; Gaididei, Yuri B.; Sørensen, Mads Peter Scattering of flexural waves in Euler-Bernoulli beams by short-range potentials. (English) Zbl 1452.74057 J. Phys. A, Math. Theor. 51, No. 9, Article ID 095202, 16 p. (2018); erratum ibid. 51, No. 19, Article ID 199601, 1 p. (2018). MSC: 74J20 74K10 PDF BibTeX XML Cite \textit{P. L. Christiansen} et al., J. Phys. A, Math. Theor. 51, No. 9, Article ID 095202, 16 p. (2018; Zbl 1452.74057) Full Text: DOI
Bouclet, Jean-Marc; Royer, Julien Local energy decay for the damped wave equation. (English) Zbl 1295.35078 J. Funct. Anal. 266, No. 7, 4538-4615 (2014). MSC: 35B40 35L15 PDF BibTeX XML Cite \textit{J.-M. Bouclet} and \textit{J. Royer}, J. Funct. Anal. 266, No. 7, 4538--4615 (2014; Zbl 1295.35078) Full Text: DOI arXiv
Kamvissis, Spyridon; Teschl, Gerald Long-time asymptotics of the periodic Toda lattice under short-range perturbations. (English) Zbl 1301.37055 J. Math. Phys. 53, No. 7, 073706, 35 p. (2012). MSC: 37K40 37K10 37K20 37K60 35Q15 14H52 14H70 PDF BibTeX XML Cite \textit{S. Kamvissis} and \textit{G. Teschl}, J. Math. Phys. 53, No. 7, 073706, 35 p. (2012; Zbl 1301.37055) 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 PDF BibTeX XML Cite \textit{S. Mao} and \textit{S. Nakamura}, Commun. Partial Differ. Equations 34, No. 5, 506--519 (2009; Zbl 1178.35013) Full Text: DOI arXiv
Tarulli, Mirko Resolvent estimates for scalar fields with electromagnetic perturbation. (English) Zbl 1089.35056 Electron. J. Differ. Equ. 2004, Paper No. 146, 14 p. (2004). MSC: 35Q40 35L05 35J10 35B25 47A10 81Q10 PDF BibTeX XML Cite \textit{M. Tarulli}, Electron. J. Differ. Equ. 2004, Paper No. 146, 14 p. (2004; Zbl 1089.35056) Full Text: EMIS EuDML
Pladdy, Christopher Asymptotics of the resolvent of the Dirac operator with a scalar short-range potential. (English) Zbl 0972.35082 Analysis, München 21, No. 1, 79-97 (2001). MSC: 35P25 81U99 35Q40 PDF BibTeX XML Cite \textit{C. Pladdy}, Analysis, München 21, No. 1, 79--97 (2001; Zbl 0972.35082) Full Text: DOI
Kuroda, S. T.; Nagatani, Hiroshi \({\mathcal H}_{-2}\)-construction and some applications. (English) Zbl 0976.47009 Dittrich, Jaroslav (ed.) et al., Mathematical results in quantum mechanics. QMath7 conference, Prag, Czech Republic, June 22-26, 1998. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 108, 99-105 (1999). Reviewer: Takashi Ichinose (Kanazawa) MSC: 47A55 81Q15 47B25 47N50 PDF BibTeX XML Cite \textit{S. T. Kuroda} and \textit{H. Nagatani}, in: Mathematical results in quantum mechanics. QMath7 conference, Prag, Czech Republic, June 22--26, 1998. Basel: Birkhäuser. 99--105 (1999; Zbl 0976.47009)
Croc, E.; Iftimie, V. Wave operators in a multistratified strip. (English) Zbl 0928.35117 Integral Equations Oper. Theory 33, No. 4, 389-405 (1999). MSC: 35P25 35L05 PDF BibTeX XML Cite \textit{E. Croc} and \textit{V. Iftimie}, Integral Equations Oper. Theory 33, No. 4, 389--405 (1999; Zbl 0928.35117) Full Text: DOI
Frankenthal, Shimshon; Beran, Mark J. Transverse spectra of waves in random media. (English) Zbl 0923.73013 Waves Random Media 7, No. 2, 257-282 (1997). Reviewer: D.Stanomir (Bucureşti) MSC: 74J99 74H50 74S30 PDF BibTeX XML Cite \textit{S. Frankenthal} and \textit{M. J. Beran}, Waves Random Media 7, No. 2, 257--282 (1997; Zbl 0923.73013) Full Text: DOI
Hunziker, W. Mathematical theory of \(N\)-body quantum systems. (English) Zbl 0898.35070 Helv. Phys. Acta 71, No. 1, 26-43 (1997). Reviewer: G.F.Roach (Glasgow) MSC: 35P25 35Q40 35J10 81V70 81Q15 PDF BibTeX XML Cite \textit{W. Hunziker}, Helv. Phys. Acta 71, No. 1, 26--43 (1997; Zbl 0898.35070)
Benfatto, G. Renormalization group approach to zero temperature Bose condensation. (English) Zbl 0849.46053 Math. Phys. Electron. J. 2, No. 3, 9 p. (1996). MSC: 46N50 81T17 82B28 PDF BibTeX XML Full Text: EMIS EuDML
Bonetto, F.; Mastropietro, V. Beta function and anomaly of the Fermi surface for a \(d=1\) system of interacting fermions in a periodic potential. (English) Zbl 0846.46049 Commun. Math. Phys. 172, No. 1, 57-93 (1995). MSC: 46N50 81T15 81V70 35Q40 PDF BibTeX XML Cite \textit{F. Bonetto} and \textit{V. Mastropietro}, Commun. Math. Phys. 172, No. 1, 57--93 (1995; Zbl 0846.46049) Full Text: DOI
Arsu, Gruia Spectral analysis for simply characteristic operators by Mourre’s method. III. (English) Zbl 0841.47007 J. Oper. Theory 34, No. 1, 177-187 (1995). MSC: 47A40 35P25 81U05 47N50 35P05 PDF BibTeX XML Cite \textit{G. Arsu}, J. Oper. Theory 34, No. 1, 177--187 (1995; Zbl 0841.47007)
Jensen, Arne Scattering theory for Stark Hamiltonians. (English) Zbl 0827.47006 Proc. Indian Acad. Sci., Math. Sci. 104, No. 4, 599-651 (1994). MSC: 47A40 47A55 PDF BibTeX XML Cite \textit{A. Jensen}, Proc. Indian Acad. Sci., Math. Sci. 104, No. 4, 599--651 (1994; Zbl 0827.47006)
Feldman, Joel; Magnen, Jacques; Rivasseau, Vincent; Trubowitz, Eugene Ward identities and a perturbative analysis of a \(U(1)\) Goldstone boson in a many fermion system. (English) Zbl 0829.46057 Helv. Phys. Acta 66, No. 5, 498-550 (1993). MSC: 46N50 81Q15 82B10 PDF BibTeX XML Cite \textit{J. Feldman} et al., Helv. Phys. Acta 66, No. 5, 498--550 (1993; Zbl 0829.46057)
Chernoff, Paul R.; Hughes, Rhonda J. A new class of point interactions in one dimension. (English) Zbl 0790.47039 J. Funct. Anal. 111, No. 1, 97-117 (1993). MSC: 47N50 47A40 47A20 47B25 81Q15 47B38 PDF BibTeX XML Cite \textit{P. R. Chernoff} and \textit{R. J. Hughes}, J. Funct. Anal. 111, No. 1, 97--117 (1993; Zbl 0790.47039) Full Text: DOI
Hachem, Ghias Spectral theory for Dirac operators with a Stark potential. (English) Zbl 0678.34063 J. Math. Pures Appl., IX. Sér. 71, No. 4, 293-329 (1992). Reviewer: G.Hachem MSC: 34E05 34E20 42A38 81Q05 PDF BibTeX XML Cite \textit{G. Hachem}, J. Math. Pures Appl. (9) 71, No. 4, 293--329 (1992; Zbl 0678.34063)
Benfatto, G.; Gallavotti, G. Perturbation theory of the Fermi surface in a quantum liquid. A general quasiparticle formalism and one-dimensional systems. (English) Zbl 0716.76090 J. Stat. Phys. 59, No. 3-4, 541-664 (1990). MSC: 76Y05 82D15 82D50 PDF BibTeX XML Cite \textit{G. Benfatto} and \textit{G. Gallavotti}, J. Stat. Phys. 59, No. 3--4, 541--664 (1990; Zbl 0716.76090) Full Text: DOI
Arsu, G. Spectral analysis for simply characteristic operators by Mourre’s method. I. (English) Zbl 0702.47003 Linear operators in function spaces, 12th Int. Conf. Oper. Theory, Timişoara/Rom. 1988, Oper. Theory, Adv. Appl. 43, 89-99 (1990). Reviewer: M.Perelmuter MSC: 47A40 35P25 35S05 PDF BibTeX XML
Iftimie, Viorel Opérateurs de Schrödinger du type à n corps dispersifs. (Schrödinger operators of type with n dispersive fields). (French) Zbl 0749.47032 An. Univ. Bucur., Mat. 39, No. 1-2, 27-33 (1990). MSC: 47F05 35J10 47G30 PDF BibTeX XML Cite \textit{V. Iftimie}, An. Univ. Bucur., Mat. 39, No. 1--2, 27--33 (1990; Zbl 0749.47032)
Arsu, Gruia A time dependent scattering theory for strongly propagative systems with perturbations of short-range class. (English) Zbl 0693.47010 Rev. Roum. Math. Pures Appl. 34, No. 7, 595-603 (1989). Reviewer: M.Thompson MSC: 47A40 35P25 PDF BibTeX XML Cite \textit{G. Arsu}, Rev. Roum. Math. Pures Appl. 34, No. 7, 595--603 (1989; Zbl 0693.47010)
Kikuchi, Koji A result on the scattering theory for first order systems with long-range perturbations. (English) Zbl 0661.35068 Proc. Japan Acad., Ser. A 63, 179-181 (1987). Reviewer: R.C.Gilbert MSC: 35P25 35Q99 78A45 47A40 47L90 PDF BibTeX XML Cite \textit{K. Kikuchi}, Proc. Japan Acad., Ser. A 63, 179--181 (1987; Zbl 0661.35068) Full Text: DOI
Devinatz, Allen A unified approach to short range scattering. (English) Zbl 0644.47012 Operators in indefinite metric spaces, scattering theory and other topics, 10th Int. Conf., Bucharest/Rom. 1985, Oper. Theory, Adv. Appl. 24, 103-121 (1987). Reviewer: D.Yafaev MSC: 47A40 35P25 PDF BibTeX XML
Phillips, Ralph; Wiskott, Bettina; Woo, Alex Scattering theory for the wave equation on a hyperbolic manifold. (English) Zbl 0639.35064 Differential equations and mathematical physics, Proc. Int. Conf., Birmingham/Ala. 1986, Lect. Notes Math. 1285, 375-390 (1987). MSC: 35P25 35L05 58J45 58J50 PDF BibTeX XML
Muthuramalingam, Pl. Existence of the wave operators in long range scattering: The case of parabolic operators. (English) Zbl 0598.47010 J. Fac. Sci., Univ. Tokyo, Sect. I A 32, 443-455 (1985). Reviewer: N.Watson MSC: 47A40 35P25 47A55 47J10 PDF BibTeX XML Cite \textit{Pl. Muthuramalingam}, J. Fac. Sci., Univ. Tokyo, Sect. I A 32, 443--455 (1985; Zbl 0598.47010)
Cycon, Hans L.; Perry, Peter A. Local time decay of high energy scattering states for the Schrödinger equation. (English) Zbl 0538.35026 Math. Z. 188, 125-142 (1984). MSC: 35J10 35P20 47A55 PDF BibTeX XML Cite \textit{H. L. Cycon} and \textit{P. A. Perry}, Math. Z. 188, 125--142 (1985; Zbl 0538.35026) Full Text: DOI EuDML
Phillips, Ralph S. Scattering theory for the wave equation with a short range perturbation. II. (English) Zbl 0526.35066 Indiana Univ. Math. J. 33, 831-846 (1984). MSC: 35P25 35L10 81Q15 PDF BibTeX XML Cite \textit{R. S. Phillips}, Indiana Univ. Math. J. 33, 831--846 (1984; Zbl 0526.35066) Full Text: DOI
Holden, Helge; Høegh-Krohn, Raphael; Johannesen, Steinar The short range expansion. (English) Zbl 0546.35019 Adv. Appl. Math. 4, 402-421 (1983). MSC: 35J10 47A55 35P05 47A10 PDF BibTeX XML Cite \textit{H. Holden} et al., Adv. Appl. Math. 4, 402--421 (1983; Zbl 0546.35019) Full Text: DOI
Albeverio, Sergio; Bollé, D.; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Streit, L. Low-energy parameters in nonrelativistic scattering theory. (English) Zbl 0542.35056 Ann. Phys. 148, 308-326 (1983). Reviewer: R.Picard MSC: 35P25 35Q99 81U05 35J10 PDF BibTeX XML Cite \textit{S. Albeverio} et al., Ann. Phys. 148, 308--326 (1983; Zbl 0542.35056) Full Text: DOI
Phillips, Ralph S. Scattering theory for the wave equation with a short-range perturbation. (English) Zbl 0515.35068 Adv. Math., Suppl. Stud. 8, 129-137 (1983). MSC: 35P25 35L10 PDF BibTeX XML
Vugal’ter, S. A.; Zhislin, G. M. The symmetry and Efimov’s effect in systems of three-quantum particles. (English) Zbl 0515.47024 Commun. Math. Phys. 87, 89-103 (1982). MSC: 47F05 47A10 81Q10 81Q15 PDF BibTeX XML Cite \textit{S. A. Vugal'ter} and \textit{G. M. Zhislin}, Commun. Math. Phys. 87, 89--103 (1982; Zbl 0515.47024) Full Text: DOI
Phillips, Ralph S. Scattering theory for the wave equation with a short range perturbation. (English) Zbl 0465.35073 Indiana Univ. Math. J. 31, 609-639 (1982). MSC: 35P25 35L05 35B20 PDF BibTeX XML Cite \textit{R. S. Phillips}, Indiana Univ. Math. J. 31, 609--639 (1982; Zbl 0465.35073) Full Text: DOI
Albeverio, Sergio; Høegh-Krohn, Raphael Point interactions as limits of short range interactions. (English) Zbl 0501.35023 J. Oper. Theory 6, 313-339 (1981). MSC: 35J10 35B25 81Q15 82D20 47A40 35P15 PDF BibTeX XML Cite \textit{S. Albeverio} and \textit{R. Høegh-Krohn}, J. Oper. Theory 6, 313--339 (1981; Zbl 0501.35023)
Murata, Minoru Characterizations of the ranges of wave operators for symmetric systems and an application. (English) Zbl 0471.35067 Tokyo J. Math. 4, 113-132 (1981). MSC: 35P25 35B40 47A40 35L40 PDF BibTeX XML Cite \textit{M. Murata}, Tokyo J. Math. 4, 113--132 (1981; Zbl 0471.35067) Full Text: DOI
Thompson, M. The principle of limiting absorption for Laplacians on two-point homogeneous spaces. (English) Zbl 0458.35076 Proc. R. Soc. Edinb., Sect. A 87, 319-329 (1981). MSC: 35P25 47A40 47A55 PDF BibTeX XML Cite \textit{M. Thompson}, Proc. R. Soc. Edinb., Sect. A, Math. 87, 319--329 (1981; Zbl 0458.35076) Full Text: DOI