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Johannes Sjöstrand
Summary
Johannes Sjöstrand (born 1947) 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 (with a spectrum of the Hofstadter butterfly), resonances in the semiclassical limit, and quantum tunneling in the semiclassical limit.
Operators of principal type with interior boundary conditions. Acta mathematica 130, no. 1 (1973): 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 Helffer Propagation des singularités pour des problèmes aux limites, Séminaire Bourbaki, Nr. 525, 1978/79
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 (6 parts altogether, see Robert Didier Analyse semi-classique de l'effet tunnel, Séminaire Bourbaki 665, 1985/86)
with Helffer: Résonances en limite semi-classique, Mémoire SMF, Nr. 24–25, 1986
with Helffer: Analyse semi-classique pour l'équation de Harper : (avec application à l'équation de Schrödinger avec champ magnétique), Mémoire SMF, Nr.
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