Ivrii, V. Pointwise spectral asymptotics out of the diagonal near degeneration points. (English. Russian original) Zbl 1500.35008 Math. Notes 112, No. 4, 533-548 (2022); translation from Mat. Zametki 112, No. 4, 534-552 (2022). MSC: 35A27 35J15 35P20 PDFBibTeX XMLCite \textit{V. Ivrii}, Math. Notes 112, No. 4, 533--548 (2022; Zbl 1500.35008); translation from Mat. Zametki 112, No. 4, 534--552 (2022) Full Text: DOI arXiv
Ivrii, Victor Complete semiclassical spectral asymptotics for periodic and almost periodic perturbations of constant operators. (English) Zbl 1501.35270 Manuilov, Vladimir M. (ed.) et al., Differential equations on manifolds and mathematical physics. Dedicated to the memory of Boris Sternin. Selected papers based on the presentations of the conference on partial differential equations and applications, Moscow, Russia, November 6–9, 2018. Cham: Birkhäuser. Trends Math., 183-201 (2021). MSC: 35P20 35A27 PDFBibTeX XMLCite \textit{V. Ivrii}, in: Differential equations on manifolds and mathematical physics. Dedicated to the memory of Boris Sternin. Selected papers based on the presentations of the conference on partial differential equations and applications, Moscow, Russia, November 6--9, 2018. Cham: Birkhäuser. 183--201 (2021; Zbl 1501.35270) Full Text: DOI arXiv
Ivrii, Victor Microlocal analysis, sharp spectral asymptotics and applications. V. Applications to quantum theory and miscellaneous problems. (English) Zbl 1445.35008 Cham: Springer (ISBN 978-3-030-30560-4/hbk; 978-3-030-30563-5/pbk; 978-3-030-30561-1/ebook). xxiv, 739 p. (2019). Reviewer: Luigi Rodino (Torino) MSC: 35-02 35S05 35A27 35Q41 PDFBibTeX XMLCite \textit{V. Ivrii}, Microlocal analysis, sharp spectral asymptotics and applications. V. Applications to quantum theory and miscellaneous problems. Cham: Springer (2019; Zbl 1445.35008) Full Text: DOI
Ivrii, Victor Microlocal analysis, sharp spectral asymptotics and applications IV. Magnetic Schrödinger operator 2. (English) Zbl 1445.35007 Cham: Springer (ISBN 978-3-030-30544-4/hbk; 978-3-030-30547-5/pbk; 978-3-030-30545-1/ebook). xxiii, 714 p. (2019). Reviewer: Luigi Rodino (Torino) MSC: 35-02 35P05 35Q41 35S50 35S05 35A27 35S30 35P20 PDFBibTeX XMLCite \textit{V. Ivrii}, Microlocal analysis, sharp spectral asymptotics and applications IV. Magnetic Schrödinger operator 2. Cham: Springer (2019; Zbl 1445.35007) Full Text: DOI
Ivrii, Victor Microlocal analysis, sharp spectral asymptotics and applications II. Functional methods and eigenvalue asymptotics. (English) Zbl 1441.35003 Cham: Springer (ISBN 978-3-030-30540-6/hbk; 978-3-030-30541-3/ebook). xix, 525 p. (2019). Reviewer: Luigi Rodino (Torino) MSC: 35-02 35P20 35A27 35S05 PDFBibTeX XMLCite \textit{V. Ivrii}, Microlocal analysis, sharp spectral asymptotics and applications II. Functional methods and eigenvalue asymptotics. Cham: Springer (2019; Zbl 1441.35003) Full Text: DOI
Ivrii, Victor Microlocal analysis, sharp spectral asymptotics and applications I. Semiclassical microlocal analysis and local and microlocal semiclassical asymptotics. (English) Zbl 1441.35002 Cham: Springer (ISBN 978-3-030-30556-7/hbk; 978-3-030-30557-4/ebook). xlix, 889 p. (2019). Reviewer: Luigi Rodino (Torino) MSC: 35-02 35A27 35P20 35S05 35S30 35A21 35A18 PDFBibTeX XMLCite \textit{V. Ivrii}, Microlocal analysis, sharp spectral asymptotics and applications I. Semiclassical microlocal analysis and local and microlocal semiclassical asymptotics. Cham: Springer (2019; Zbl 1441.35002) Full Text: DOI
Ivrii, V. Asymptotics of the ground state energy in the relativistic settings. (English) Zbl 1414.81278 St. Petersbg. Math. J. 30, No. 3, 445-456 (2019) and Algebra Anal. 30, No. 3, 76-92 (2018). MSC: 81V45 81V55 81Q20 35P15 PDFBibTeX XMLCite \textit{V. Ivrii}, St. Petersbg. Math. J. 30, No. 3, 445--456 (2019; Zbl 1414.81278) Full Text: DOI arXiv
Hassell, Andrew; Ivrii, Victor Spectral asymptotics for the semiclassical Dirichlet to Neumann operator. (English) Zbl 1373.35211 J. Spectr. Theory 7, No. 3, 881-905 (2017). MSC: 35P20 58J50 PDFBibTeX XMLCite \textit{A. Hassell} and \textit{V. Ivrii}, J. Spectr. Theory 7, No. 3, 881--905 (2017; Zbl 1373.35211) Full Text: DOI arXiv
Ivrii, Victor Local spectral asymptotics for \(2D\)-Schrödinger operators with strong magnetic field near the boundary. (English) Zbl 1222.35134 Braverman, Maxim (ed.) et al., Spectral theory and geometric analysis. International conference in honor of Mikhail Shubin’s 65th birthday, Northeastern University, Boston, MA, USA, July 29–August 2, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4948-4/pbk). Contemporary Mathematics 535, 95-108 (2011). Reviewer: Nils Ackermann (Mexico City) MSC: 35P20 35J10 81Q10 PDFBibTeX XMLCite \textit{V. Ivrii}, Contemp. Math. 535, 95--108 (2011; Zbl 1222.35134)
Ivrii, Victor Sharp spectral asymptotics for operators with irregular coefficients. II: Domains with boundaries and degenerations. (English) Zbl 1027.58020 Commun. Partial Differ. Equations 28, No. 1-2, 103-128 (2003). Reviewer: Georgi E.Karadzhov (Sofia) MSC: 58J37 35P20 PDFBibTeX XMLCite \textit{V. Ivrii}, Commun. Partial Differ. Equations 28, No. 1--2, 103--128 (2003; Zbl 1027.58020) Full Text: DOI
Bronstein, Mikhail; Ivrii, Victor Sharp spectral asymptotics for operators with irregular coefficients. I: Pushing the limits. (English) Zbl 1027.58019 Commun. Partial Differ. Equations 28, No. 1-2, 83-102 (2003). Reviewer: Georgi E.Karadzhov (Sofia) MSC: 58J37 35P20 PDFBibTeX XMLCite \textit{M. Bronstein} and \textit{V. Ivrii}, Commun. Partial Differ. Equations 28, No. 1--2, 83--102 (2003; Zbl 1027.58019) Full Text: DOI
Ivrii, Victor Eigenvalue asymptotics for Neumann Laplacian in domains with ultra-thin cusps. (English) Zbl 1061.35504 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau 1998-1999, Exp. No. X, 8 p. (1999). MSC: 35P20 35J25 58J37 PDFBibTeX XMLCite \textit{V. Ivrii}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 1998--1999, Exp. No. X, 8 p. (1999; Zbl 1061.35504) Full Text: Numdam EuDML
Ivrii, Victor Precise spectral asymptotics for Neumann Laplacian in domains with cusps. (English) Zbl 1031.35113 Appl. Anal. 71, No. 1-4, 139-147 (1999). Reviewer: Pavel Burda (Praha) MSC: 35P20 35J25 35J05 PDFBibTeX XMLCite \textit{V. Ivrii}, Appl. Anal. 71, No. 1--4, 139--147 (1999; Zbl 1031.35113) Full Text: DOI
Ivrii, Victor Semiclassical spectral asymptotics and multiparticle quantum theory. (English) Zbl 0845.35099 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, 199-212 (1995). MSC: 35Q40 81Q20 PDFBibTeX XMLCite \textit{V. Ivrii}, in: Partial differential operators and mathematical physics. International conference in Holzhau, Germany, July 3-9, 1994. Basel: Birkhäuser Verlag. 199--212 (1995; Zbl 0845.35099)
Ivrii, Victor Semiclassical asymptotics for exchange energy. (English) Zbl 0877.35108 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau Sémin. 1993-1994, Exp. No. 20, 10 p. (1994). MSC: 35Q40 81V70 81Q20 PDFBibTeX XMLCite \textit{V. Ivrii}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau, Exp. No. 20, 10\,p. (1994; Zbl 0877.35108) Full Text: Numdam EuDML
Ivrii, Victor Semiclassical spectral asymptotics. (English) Zbl 0839.35092 Robert, D. (ed.), Méthodes semi-classiques. Vol. 1. École d’été (Nantes, juin 1991). Paris: Société Mathématique de France, Astérisque. 207, 7-33 (1992). MSC: 35P20 81Q20 35J10 PDFBibTeX XMLCite \textit{V. Ivrii}, in: Méthodes semi-classiques. Vol. 1. École d'été (Nantes, juin 1991). Paris: Société Mathématique de France. 7--33 (1992; Zbl 0839.35092)
Ivrii, Victor Eigenvalue asymptotics for Schrödinger and Dirac operators with the constant magnetic field and with electric potential decreasing at infinity. (English) Zbl 0738.35050 Journ. Équ. Dériv. Partielles, St.-Jean-De-Monts 1991, No.X, 5 p. (1991). MSC: 35P20 PDFBibTeX XML Full Text: Numdam EuDML
Ivrii, V.; Filippov, E.; Kachalkina, A. Precise spectral asymptotics. (English) Zbl 0739.35054 Integral equations and inverse problems, Proc. Int. Conf., Varna/Bulg. 1989, Pitman Res. Notes Math. Ser. 235, 146-153 (1991). MSC: 35P20 PDFBibTeX XMLCite \textit{V. Ivrii} et al., in: Spectral properties of elliptic operators of negative order. . 146--153 (1991; Zbl 0739.35054)
Ivrij, V. Ya. Exact spectral asymptotics for the Dirac operator with a strong magnetic field. (English. Russian original) Zbl 0779.35078 Sov. Math., Dokl. 41, No. 1, 122-125 (1990); translation from Dokl. Akad. Nauk SSSR 310, No. 4, 788-792 (1990). MSC: 35P20 81Q10 PDFBibTeX XMLCite \textit{V. Ya. Ivrij}, Sov. Math., Dokl. 41, No. 1, 122--125 (1990; Zbl 0779.35078); translation from Dokl. Akad. Nauk SSSR 310, No. 4, 788--792 (1990)
Ivrij, V. Spectral asymptotics with highly accurate remainder estimates. (English) Zbl 0713.35066 Sémin. Équations Dériv. Partielles 1989-1990, No. 6, 16 p. (1990). Reviewer: A.Müller-Rettkowski MSC: 35P20 35S05 81Q20 PDFBibTeX XML Full Text: EuDML
Ivrii, V.; Kachalkina, A. Spectral asymptotics with highly accurate remainder estimates. (English) Zbl 0766.47027 Order, disorder and chaos in quantum systems, Proc. Conf., Dubna/USSR 1989, Oper. Theory, Adv. Appl. 46, 61-63 (1990). Reviewer: G.A.Perla Menzala (Rio de Janeiro) MSC: 47F05 47A10 35P20 35J10 47B38 PDFBibTeX XMLCite \textit{V. Ivrii} and \textit{A. Kachalkina}, in: Order, disorder and chaos in quantum systems. Proceedings of a conference held at Dubna, USSR on October 17-21, 1989. Basel etc.: Birkhäuser Verlag. 61--63 (1990; Zbl 0766.47027)
Ivrij, Viktor Precise spectral asymptotics for Schrödinger and Dirac operators with strong magnetic field. (English) Zbl 0744.35027 Schrödinger operators, standard and non-standard, Proc. Conf., Dubna/USSR 1988, 259-270 (1989). Reviewer: K.Hardenberg (Braunschweig) MSC: 35P20 81V10 47A10 PDFBibTeX XMLCite \textit{V. Ivrij}, in: Dirichlet forms and non-standard Schrödinger operators. . 259--270 (1989; Zbl 0744.35027)
Ivrij, V. Ya. Estimates of the spectrum of the Dirac operator. (English. Russian original) Zbl 0661.35067 Sov. Math., Dokl. 36, No. 3, 599-602 (1988); translation from Dokl. Akad. Nauk SSSR 297, 1298-1302 (1987). MSC: 35P20 35Q99 PDFBibTeX XMLCite \textit{V. Ya. Ivrij}, Sov. Math., Dokl. 36, No. 3, 599--602 (1988; Zbl 0661.35067); translation from Dokl. Akad. Nauk SSSR 297, 1298--1302 (1987)
Ivrij, V. On the number of negative eigenvalues of Schrödinger operators with singular potentials. (English) Zbl 0727.35098 Hyperbolic equations, Proc. Conf., Padova/Italy 1985, Pitman Res. Notes Math. Ser. 158, 74-81 (1987). MSC: 35P15 35J10 PDFBibTeX XML
Ivrii, Victor Estimates for a number of negative eigenvalues of the Schrödinger operator with singular potentials. (English) Zbl 0719.47031 Proc. Int. Congr. Math., Berkeley/Calif. 1986, Vol. 2, 1084-1093 (1987). MSC: 47F05 35J10 35P15 47A10 PDFBibTeX XML
Ivrij, V. Ya. Precise spectral asymptotics for elliptic operators on manifolds with boundary. (English. Russian original) Zbl 0651.35068 Sib. Math. J. 28, No. 1-2, 80-86 (1987); translation from Sib. Mat. Zh. 28, No. 1(161), 107-114 (1987). Reviewer: Y.Rojtberg MSC: 35P20 35J40 58J50 PDFBibTeX XMLCite \textit{V. Ya. Ivrij}, Sib. Math. J. 28, No. 1--2, 80--86 (1987; Zbl 0651.35068); translation from Sib. Mat. Zh. 28, No. 1(161), 107--114 (1987) Full Text: DOI
Ivrij, Viktor Three spectral problems revised. (English) Zbl 0656.58031 Hyperbolic equations and related topics, Proc. Taniguchi Int. Symp., Katata and Kyoto/Jap. 1984, 85-88 (1986). Reviewer: B.Konopelchenko MSC: 58J50 PDFBibTeX XML
Ivrij, V. Ya. The Weyl asymptotic formula for the Laplace-Beltrami operator in Riemannian polyhedra and in domains with conical boundary singularities. (English. Russian original) Zbl 0652.35091 Sov. Math., Dokl. 33, 596-599 (1986); translation from Dokl. Akad. Nauk SSSR 288, 35-38 (1986). Reviewer: G.Phillipin MSC: 35P20 35J05 PDFBibTeX XMLCite \textit{V. Ya. Ivrij}, Sov. Math., Dokl. 33, 596--599 (1986; Zbl 0652.35091); translation from Dokl. Akad. Nauk SSSR 288, 35--38 (1986)
Ivrij, V. Precise eigenvalue asymptotics for transversally elliptic operators. (English) Zbl 0643.35075 Current topics in partial differential equations, Pap. dedic. S. Mizohata Occas. 60th Birthday, 55-62 (1986). Reviewer: V.Ivrij MSC: 35P20 65H10 58J50 PDFBibTeX XML
Ivrij, V. Ya.; Fedorova, S. I. Dilatation and the asymptotics of the eigenvalues of spectral problems with singularities. (English. Russian original) Zbl 0628.35077 Funct. Anal. Appl. 20, 277-281 (1986); translation from Funkts. Anal. Prilozh. 20, No. 4, 29-34 (1986). Reviewer: P.Burda MSC: 35P20 35J25 47A70 PDFBibTeX XMLCite \textit{V. Ya. Ivrij} and \textit{S. I. Fedorova}, Funct. Anal. Appl. 20, 277--281 (1986; Zbl 0628.35077); translation from Funkts. Anal. Prilozh. 20, No. 4, 29--34 (1986) Full Text: DOI
Ivrij, Viktor Estimations pour le nombre de valeurs propres négatives de l’opérateur de Schrödinger avec potentiels singuliers. (Estimates for the number of negative eigenvalues of the Schrödinger operator with singular potentials). (French) Zbl 0611.35064 C. R. Acad. Sci., Paris, Sér. I 302, 467-470 (1986). MSC: 35P20 35J10 PDFBibTeX XMLCite \textit{V. Ivrij}, C. R. Acad. Sci., Paris, Sér. I 302, 467--470 (1986; Zbl 0611.35064)
Ivrij, V. Ya. Asymptotics of the discrete spectrum for certain operators in \({\mathbb{R}}^ d\). (English. Russian original) Zbl 0578.35077 Funct. Anal. Appl. 19, 61-62 (1985); translation from Funkts. Anal. Prilozh. 19, No. 1, 73-74 (1985). Reviewer: Y.Kifer MSC: 35P20 35J10 PDFBibTeX XMLCite \textit{V. Ya. Ivrij}, Funct. Anal. Appl. 19, 61--62 (1985; Zbl 0578.35077); translation from Funkts. Anal. Prilozh. 19, No. 1, 73--74 (1985) Full Text: DOI
Ivrij, V. Ya. On precise asymptotics of the eigenvalues for two classes of differential operators in \({\mathbb{R}}^ d\). (English. Russian original) Zbl 0596.35101 Sov. Math., Dokl. 29, 464-466 (1984); translation from Dokl. Akad. Nauk SSSR 276, 268-270 (1984). Reviewer: K.-H.Jansen MSC: 35P20 35J10 58J50 PDFBibTeX XMLCite \textit{V. Ya. Ivrij}, Sov. Math., Dokl. 29, 464--466 (1984; Zbl 0596.35101); translation from Dokl. Akad. Nauk SSSR 276, 268--270 (1984)
Ivrij, V. Ya. Exact classical and quasiclassical asymptotics of the eigenvalues for spectral problems on manifolds with boundary. (English. Russian original) Zbl 0591.58032 Sov. Math., Dokl. 30, 263-266 (1984); translation from Dokl. Akad. Nauk SSSR 277, 1307-1310 (1984). Reviewer: G.Warnecke MSC: 58J50 35J40 35P20 35P05 58J32 PDFBibTeX XMLCite \textit{V. Ya. Ivrij}, Sov. Math., Dokl. 30, 263--266 (1984; Zbl 0591.58032); translation from Dokl. Akad. Nauk SSSR 277, 1307--1310 (1984)
Ivrij, Viktor Precise spectral asymptotics for elliptic operators acting in fiberings over manifolds with boundary. (English) Zbl 0565.35002 Lecture Notes in Mathematics. 1100. Berlin etc.: Springer-Verlag. V, 238 p. DM 31.50 (1984). Reviewer: Y.Kifer MSC: 35-02 35J20 35P20 58J50 58J45 PDFBibTeX XML Full Text: DOI
Ivrij, Victor Global and partially global operators. Propagation of singularities and spectral asymptotics. (English) Zbl 0539.58037 Microlocal analysis, Proc. Conf., Boulder/Colo. 1983, Contemp. Math. 27, 119-125 (1984). MSC: 58J47 35P20 PDFBibTeX XML
Ivrij, V. Ya. On exact quasi-classical spectral asymptotics for h-pseudo-differential operators acting in bundles. (Russian) Zbl 0539.35060 Tr. Semin. S.L. Soboleva 1, 30-54 (1983). MSC: 35P20 35S05 58J50 58J45 58J47 PDFBibTeX XML
Ivrij, V. Ya. On the asymptotics of the eigenvalues for a class of elliptic operators acting in bundles over a manifold with boundary. (English. Russian original) Zbl 0545.47029 Sov. Math., Dokl. 25, 370-372 (1982); translation from Dokl. Akad. Nauk SSSR 263, 530-531 (1982). Reviewer: P.A.McCoy MSC: 47F05 35P20 58J40 47A35 PDFBibTeX XMLCite \textit{V. Ya. Ivrij}, Sov. Math., Dokl. 25, 370--372 (1982; Zbl 0545.47029); translation from Dokl. Akad. Nauk SSSR 263, 530--531 (1982)
Ivrij, V. Ya. On quasiclassical spectral asymptotics for the Schrödinger operator on manifolds with boundary and for h-pseudodifferential operators acting in bundles. (English. Russian original) Zbl 0543.35078 Sov. Math., Dokl. 26, 285-289 (1982); translation from Dokl. Akad. Nauk SSSR 266, 14-18 (1982). Reviewer: D.Robert MSC: 35P20 35J10 58J50 58J40 PDFBibTeX XMLCite \textit{V. Ya. Ivrij}, Sov. Math., Dokl. 26, 285--289 (1982; Zbl 0543.35078); translation from Dokl. Akad. Nauk SSSR 266, 14--18 (1982)
Ivrii, V. Ja. On the second term of the spectral asymptotics for the Laplace-Beltrami operator on manifolds with boundary and for elliptic operators acting in fiberings. (English. Russian original) Zbl 0448.58024 Sov. Math., Dokl. 21, 300-302 (1980); translation from Dokl. Akad. Nauk SSSR 250, 1300-1302 (1980). MSC: 58J50 58C40 58J10 53C20 PDFBibTeX XMLCite \textit{V. Ja. Ivrii}, Sov. Math., Dokl. 21, 300--302 (1980; Zbl 0448.58024); translation from Dokl. Akad. Nauk SSSR 250, 1300--1302 (1980)
Ivrij, V. Ya. Propagation of singularities of a solution of the wave equation in a domain having angular points. (English. Russian original) Zbl 0414.35045 Sov. Math., Dokl. 19, 894-897 (1978); translation from Dokl. Akad. Nauk SSSR 241, 536-539 (1978). MSC: 35L05 35A20 PDFBibTeX XMLCite \textit{V. Ya. Ivrij}, Sov. Math., Dokl. 19, 894--897 (1978; Zbl 0414.35045); translation from Dokl. Akad. Nauk SSSR 241, 536--539 (1978)