Pseudospectrum for differential operators
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2002-2003), Exposé no. 16, 9 p.
Sjöstrand, Johannes 1

1 CMAT, Ecole Polytechnique, FR-91128 Palaiseau cedex, and UMR 7640, CNRS
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Sjöstrand, Johannes. Pseudospectrum for differential operators. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2002-2003), Exposé no. 16, 9 p. http://www.numdam.org/item/SEDP_2002-2003____A16_0/

[1] J. Bokobza, A. Unterberger, Les opérateurs pseudodifférentiels d’ordre variable, C.R.A.S. Paris 261(1965), 2271–2273. | Zbl

[2] E. B. Davies, Non-selfadjoint differential operators, Bull. London Math. Soc. 34(5)(2002), 513–532. | MR | Zbl

[3] E. B. Davies, Semi-classical states for non-self-adjoint Schrödinger operators, Comm. Math. Phys., 200(1999), 35–41. | MR | Zbl

[4] N. Dencker, J. Sjöstrand, M. Zworski, Pseudospectra of semi-classical (pseudo)differential operators, Comm. P. Appl. Math., to appear. | Zbl

[5] M. Hager, Thèse, In preparation.

[6] B. Helffer, J. Sjöstrand, Résonances en limite semi-classique, Mémoires de la S.M.F. 114(3)(1986). | Numdam | MR | Zbl

[7] L. Hörmander, The analysis of linear partial differential operators, I–IV, Springer verlag 1983–1985.

[8] L. Hörmander, Differential operators of principal type, Math. Ann. 140(1960), 124–146; Differential equations without solutions, Math. Ann. 140(1960), 169–173. | MR | Zbl

[9] M. Kashiwara, T. Kawai, Microhyperbolic pseudo-differential operators, I, J. Math. Soc. Japan 27(1975), 359–404. | MR | Zbl

[10] A. Martinez, Resonance free domains for non globally analytic potentials, Ann. Henri Poincaré 4(2002), 739–756. | MR | Zbl

[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. | MR | Zbl

[12] L.N. Trefethen, S.J. Chapman, Wave packet pseudomodes of twisted Toeplitz matrices, preprint (2002). | MR

[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. | Numdam | Zbl

[14] M. Zworski, A remark on a paper by E.B. Davies, Proc. A.M.S., 129(2001), 2955-2957. | MR | Zbl

[15] M. Zworski, Numerical linear algebra and solvability of partial differential equations, Comm. Math. Phys. 229(2002), 293–307. | MR | Zbl