Johannes Sjöstrand
Johannes Sjöstrand is a Swedish mathematician, specializing in partial differential equations and functional analysis.
Sjöstrand received his doctorate in 1972 from Lund University under Lars Hörmander. Sjöstrand taught at the University of Paris XI and he is a professor at the University of Burgundy in Dijon.
He is a member of the Royal Swedish Academy of Sciences and, since 2017, a member of the American Academy of Arts and Sciences.
His research deals with microlocal analysis. He has investigated, inter alia, the Schrödinger equation of an electron in a magnetic field, resonances in the semiclassical limit, and quantum tunneling in the semiclassical limit.
Selected publications
- Operators of principal type with interior boundary conditions. Acta mathematica 130, no. 1 : 1–51.
- with Anders Melin: "Fourier integral operators with complex-valued phase functions." In Fourier integral operators and partial differential equations, pp. 120–223. Springer, Berlin, Heidelberg, 1975.
- with Richard Melrose: Singularities of boundary value problems. I, Comm. Pure Appl. Math., vol. 31, 1978, pp. 593–619 ; Singularities of boundary value problems. II, Comm. Pure Appl. Math., vol. 35, 1982, pp. 129–168
- with Melrose: A calculus for Fourier Integral Operators in domains with boundary and applications to the oblique dérivative problem, Comm. in PDE, 2, 1977, pp. 857–935, see
- with B. Lascar: Singularités analytiques microlocales, Astérisque 95, 1982
- with Bernard Helffer: Multiple wells in the semi-classical limit, Part 1, Communications in PDE, 9, 1984, 337–408
- with Helffer:, Mémoire SMF, Nr. 24–25, 1986
- with Helffer: Analyse semi-classique pour l'équation de Harper : , Mémoire SMF,,,
- Asymptotique des résonances pour des obstacles, Séminaire Bourbaki, Nr. 724, 1989/90
- with Helffer and P. Kerdelhué:, Mémoire SMF, Nr. 43, 1990
- with Maciej Zworski: Complex scaling and the distribution of scattering poles, J. Amer. Math. Soc. 4, 1991, 729–769
- with Alain Grigis:, Cambridge University Press 1994.
- with Mouez Dimassi:, Cambridge University Press 1999
- with Maciej Zworski: Asymptotic distribution of resonances for convex obstacles. Acta Mathematica 183, no. 2 : 191–253.
- , in: Jean-Paul Pier : Development of mathematics 1950–2000. Birkhäuser, 2000
- , Paris, SMF 2000
- with Carlos E. Kenig and Gunther Uhlmann: "The Calderón problem with partial data." Annals of mathematics : 567–591.