메뉴 건너뛰기




Volumn , Issue 64, 2004, Pages 3417-3438

Boundary spectral behavior for semiclassical operators in dimension one

Author keywords

[No Author keywords available]

Indexed keywords


EID: 11144341882     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/s1073792804140233     Document Type: Article
Times cited : (14)

References (20)
  • 1
    • 0001777364 scopus 로고
    • Spectre conjoint d'opérateurs pseudo-différentiels qui commutent. H. Le cas intégrable
    • French
    • Y. Colin de Verdière, Spectre conjoint d'opérateurs pseudo-différentiels qui commutent. H. Le cas intégrable, Math. Z. 171 (1980), no. 1, 51-73 (French).
    • (1980) Math. Z. , vol.171 , Issue.1 , pp. 51-73
    • Colin De Verdière, Y.1
  • 2
    • 33746427101 scopus 로고    scopus 로고
    • Pseudo-spectra, the harmonic oscillator and complex resonances
    • E. B. Davies, Pseudo-spectra, the harmonic oscillator and complex resonances, R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. 455 (1999), no. 1982, 585-599.
    • (1999) R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. , vol.455 , Issue.1982 , pp. 585-599
    • Davies, E.B.1
  • 3
    • 0033472559 scopus 로고    scopus 로고
    • Semi-classical states for non-self-adjoint Schrödinger operators
    • _, Semi-classical states for non-self-adjoint Schrödinger operators, Comm. Math. Phys. 200 (1999), no. 1, 35-41.
    • (1999) Comm. Math. Phys. , vol.200 , Issue.1 , pp. 35-41
  • 4
    • 1842832252 scopus 로고    scopus 로고
    • Pseudospectra of semiclassical (pseudo-) differential operators
    • N. Dencker, J. Sjöstrand, and M. Zworski, Pseudospectra of semiclassical (pseudo-) differential operators, Comm. Pure Appl. Math. 57 (2004), no. 3, 384-415.
    • (2004) Comm. Pure Appl. Math. , vol.57 , Issue.3 , pp. 384-415
    • Dencker, N.1    Sjöstrand, J.2    Zworski, M.3
  • 5
    • 11144265929 scopus 로고
    • Formes normales pour des opérateurs pseudodifférentiels semiclassiques en dimension 1
    • École Polytechnique, Palaiseau
    • B. Helffer, Formes normales pour des opérateurs pseudodifférentiels semiclassiques en dimension 1 [Normal forms for one-dimensional semiclassical pseudodifferential operators], Séminaire sur les Équations aux Dérivées Partielles, 1988-1989, École Polytechnique, Palaiseau, 1989, pp. II-1-II-12.
    • (1989) Séminaire sur les Équations aux Dérivées Partielles, 1988-1989
    • Helffer, B.1
  • 6
    • 0002330387 scopus 로고
    • Semiclassical analysis for Harper's equation. III. Cantor structure of the spectrum
    • B. Helffer and J. Sjöstrand, Semiclassical analysis for Harper's equation. III. Cantor structure of the spectrum, Mem. Soc. Math. Fr. (N.S.) 39 (1989), 1-124.
    • (1989) Mem. Soc. Math. Fr. (N.S.) , vol.39 , pp. 1-124
    • Helffer, B.1    Sjöstrand, J.2
  • 7
    • 1542613125 scopus 로고    scopus 로고
    • Non-selfadjoint perturbations of selfadjoint operators in 2 dimensions. I
    • M. Hitrik and J. Sjöstrand, Non-selfadjoint perturbations of selfadjoint operators in 2 dimensions. I, Ann. Henri Poincaré 5 (2004), no. 1, 1-73.
    • (2004) Ann. Henri Poincaré , vol.5 , Issue.1 , pp. 1-73
    • Hitrik, M.1    Sjöstrand, J.2
  • 8
    • 0001178462 scopus 로고
    • The Analysis of Linear Partial Differential Operators, III
    • Springer-Verlag, Berlin
    • L. Hörmander, The Analysis of Linear Partial Differential Operators, III, Grundlehren der Mathematischen Wissenschaften, vol. 274, Springer-Verlag, Berlin, 1985.
    • (1985) Grundlehren der Mathematischen Wissenschaften , vol.274
    • Hörmander, L.1
  • 9
    • 0004232346 scopus 로고
    • Notions of convexity
    • Birkhäuser Boston, Massachusetts
    • _, Notions of Convexity, Progress in Mathematics, vol. 127, Birkhäuser Boston, Massachusetts, 1994.
    • (1994) Progress in Mathematics , vol.127
  • 10
    • 51249162728 scopus 로고
    • Symplectic classification of quadratic forms, and general Mehler formulas
    • _, Symplectic classification of quadratic forms, and general Mehler formulas, Math. Z. 219 (1995), no. 3, 413-449.
    • (1995) Math. Z. , vol.219 , Issue.3 , pp. 413-449
  • 11
    • 0011693963 scopus 로고    scopus 로고
    • Forme normale de Birkhoff et résonances
    • French
    • N. Kaidi and P. Kerdelhué, Forme normale de Birkhoff et résonances [Birkhoff normal form and resonances], Asymptot. Anal. 23 (2000), no. 1, 1-21 (French).
    • (2000) Asymptot. Anal. , vol.23 , Issue.1 , pp. 1-21
    • Kaidi, N.1    Kerdelhué, P.2
  • 12
    • 2442507721 scopus 로고    scopus 로고
    • Determinants of pseudodifferential operators and complex deformations of phase space
    • A. Melin and J. Sjöstrand, Determinants of pseudodifferential operators and complex deformations of phase space, Methods Appl. Anal. 9 (2002), no. 2, 177-237.
    • (2002) Methods Appl. Anal. , vol.9 , Issue.2 , pp. 177-237
    • Melin, A.1    Sjöstrand, J.2
  • 13
    • 0344361141 scopus 로고    scopus 로고
    • Bohr-Sommerfeld quantization condition for non-self adjoint operators in dimension 2
    • _, Bohr-Sommerfeld quantization condition for non-self adjoint operators in dimension 2, Astérisque 284 (2003), 181-244.
    • (2003) Astérisque , vol.284 , pp. 181-244
  • 14
    • 0002048980 scopus 로고
    • Parametrices for pseudodifferential operators with multiple characteristics
    • J. Sjöstrand, Parametrices for pseudodifferential operators with multiple characteristics, Ark. Mat. 12 (1974), 85-130.
    • (1974) Ark. Mat. , vol.12 , pp. 85-130
    • Sjöstrand, J.1
  • 15
    • 0002433882 scopus 로고
    • Singularités analytiques microlocales
    • French
    • _, Singularités analytiques microlocales [Microlocal analytic singularities], Astérisque, 95 (1982), 1-166 (French).
    • (1982) Astérisque , vol.95 , pp. 1-166
  • 16
    • 0002367726 scopus 로고    scopus 로고
    • Function spaces associated to global I-Lagrangian manifolds
    • (Katata/Kyoto, 1995) (M. Morimoto and T. Kawai, eds.), World Scientific Publishing, New Jersey
    • _, Function spaces associated to global I-Lagrangian manifolds, Structure of Solutions of Differential Equations (Katata/Kyoto, 1995) (M. Morimoto and T. Kawai, eds.), World Scientific Publishing, New Jersey, 1996, pp. 369-423.
    • (1996) Structure of Solutions of Differential Equations , pp. 369-423
  • 17
    • 0344550414 scopus 로고    scopus 로고
    • Resonances associated to a closed hyperbolic trajectory in dimension 2
    • _, Resonances associated to a closed hyperbolic trajectory in dimension 2, Asymptot. Anal. 36 (2003), no. 2, 93-113.
    • (2003) Asymptot. Anal. , vol.36 , Issue.2 , pp. 93-113
  • 19
    • 23044530663 scopus 로고    scopus 로고
    • A remark on a paper of E. B. Davies: "Semi-classical states for non-self-adjoint Schrödinger operators,"
    • M. Zworski, A remark on a paper of E. B. Davies: "Semi-classical states for non-self-adjoint Schrödinger operators," Proc. Amer. Math. Soc. 129 (2001 ), no. 10, 2955-2957.
    • (2001) Proc. Amer. Math. Soc. , vol.129 , Issue.10 , pp. 2955-2957
    • Zworski, M.1
  • 20
    • 0035983007 scopus 로고    scopus 로고
    • Numerical linear algebra and solvability of partial differential equations
    • _, Numerical linear algebra and solvability of partial differential equations, Comm. Math. Phys. 229 (2002), no. 2, 293-307.
    • (2002) Comm. Math. Phys. , vol.229 , Issue.2 , pp. 293-307


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.