Pseudospectrum for differential operators

Johannes Sjöstrand[1]

  • [1] CMAT, Ecole Polytechnique, FR-91128 Palaiseau cedex, and UMR 7640, CNRS

Séminaire Équations aux dérivées partielles (2002-2003)

  • Volume: 2002-2003, page 1-9

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Sjöstrand, Johannes. "Pseudospectrum for differential operators." Séminaire Équations aux dérivées partielles 2002-2003 (2002-2003): 1-9. <http://eudml.org/doc/11058>.

@article{Sjöstrand2002-2003,
affiliation = {CMAT, Ecole Polytechnique, FR-91128 Palaiseau cedex, and UMR 7640, CNRS},
author = {Sjöstrand, Johannes},
journal = {Séminaire Équations aux dérivées partielles},
keywords = {non-selfadjoint operators; resolvent; review; Weyl asymptotics},
language = {eng},
pages = {1-9},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Pseudospectrum for differential operators},
url = {http://eudml.org/doc/11058},
volume = {2002-2003},
year = {2002-2003},
}

TY - JOUR
AU - Sjöstrand, Johannes
TI - Pseudospectrum for differential operators
JO - Séminaire Équations aux dérivées partielles
PY - 2002-2003
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 2002-2003
SP - 1
EP - 9
LA - eng
KW - non-selfadjoint operators; resolvent; review; Weyl asymptotics
UR - http://eudml.org/doc/11058
ER -

References

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  4. N. Dencker, J. Sjöstrand, M. Zworski, Pseudospectra of semi-classical (pseudo)differential operators, Comm. P. Appl. Math., to appear. Zbl1054.35035
  5. M. Hager, Thèse, In preparation. 
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  7. L. Hörmander, The analysis of linear partial differential operators, I–IV, Springer verlag 1983–1985. Zbl0521.35001
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  9. M. Kashiwara, T. Kawai, Microhyperbolic pseudo-differential operators, I, J. Math. Soc. Japan 27(1975), 359–404. Zbl0305.35066MR377998
  10. A. Martinez, Resonance free domains for non globally analytic potentials, Ann. Henri Poincaré 4(2002), 739–756. Zbl1026.81012MR1933368
  11. M. Sato, T. Kawai, M. Kashiwara, Microfunctions and pseudo-differential equations. Hyperfunctions and pseudo-differential equations pp. 265–529. Lecture Notes in Math., Vol. 287, Springer, Berlin, 1973. Zbl0277.46039MR420735
  12. L.N. Trefethen, S.J. Chapman, Wave packet pseudomodes of twisted Toeplitz matrices, preprint (2002). Zbl1055.15014MR2059680
  13. A. Unterberger, Résolution d’équations aux dérivées partielles dans des espaces de distributions d’ordre variable, Ann. Inst. Fourier, 21(2)(1971), 85–128. Zbl0205.43104
  14. M. Zworski, A remark on a paper by E.B. Davies, Proc. A.M.S., 129(2001), 2955-2957. Zbl0981.35107MR1840099
  15. M. Zworski, Numerical linear algebra and solvability of partial differential equations, Comm. Math. Phys. 229(2002), 293–307. Zbl1021.35077MR1923176

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