Michael Struwe

Michael Struwe (born 6 October 1955 in Wuppertal) is a German mathematician who specializes in calculus of variations and nonlinear partial differential equations. He won the 2012 Cantor medal from the Deutsche Mathematiker-Vereinigung for "outstanding achievements in the field of geometric analysis, calculus of variations and nonlinear partial differential equations".[1]

Michael Struwe

He studied mathematics at the University of Bonn, gaining his PhD in 1980 with the title Infinitely Many Solutions for Superlinear, Anticoercive Elliptic Boundary Value Problems without Oddness.[2] He took research positions in Paris and at ETH Zürich before gaining his habilitation in Bonn in 1984. Since 1986, he has been working at ETH Zürich, initially as an assistant professor, becoming a full professor in 1993.[1] His specialisms included nonlinear partial differential equations and calculus of variations.

He is joint editor of the journals Calculus of Variations, Commentarii Mathematici Helvetici, International Mathematical Research Notices and Mathematische Zeitschrift.

His publications include the book Variational methods (Applications to nonlinear PDE and Hamiltonian systems) (Springer-Verlag, 1990), which was praised by Jürgen Jost as "very useful" with an "impressive range of often difficult examples".[3]

Struwe was awarded a Gauss Lecture by the German Mathematical Society in 2011. In 2012, Struwe was selected as one of the inaugural fellows of the American Mathematical Society.[4]

Major publications
  • Giaquinta, Mariano; Struwe, Michael. On the partial regularity of weak solutions of nonlinear parabolic systems. Math. Z. 179 (1982), no. 4, 437–451.
  • Struwe, Michael. A global compactness result for elliptic boundary value problems involving limiting nonlinearities. Math. Z. 187 (1984), no. 4, 511–517.
  • Struwe, Michael. On the evolution of harmonic mappings of Riemannian surfaces. Comment. Math. Helv. 60 (1985), no. 4, 558–581.
  • Cerami, G.; Solimini, S.; Struwe, M. Some existence results for superlinear elliptic boundary value problems involving critical exponents. J. Funct. Anal. 69 (1986), no. 3, 289–306.
  • Struwe, Michael. On partial regularity results for the Navier-Stokes equations. Comm. Pure Appl. Math. 41 (1988), no. 4, 437–458.
  • Struwe, Michael. The existence of surfaces of constant mean curvature with free boundaries. Acta Math. 160 (1988), no. 1-2, 19–64.
  • Struwe, Michael. On the evolution of harmonic maps in higher dimensions. J. Differential Geom. 28 (1988), no. 3, 485–502.
  • Chen, Yun Mei; Struwe, Michael. Existence and partial regularity results for the heat flow for harmonic maps. Math. Z. 201 (1989), no. 1, 83–103.
  • Shatah, Jalal; Struwe, Michael. Regularity results for nonlinear wave equations. Ann. of Math. (2) 138 (1993), no. 3, 503–518.
  • Shatah, Jalal; Struwe, Michael. Well-posedness in the energy space for semilinear wave equations with critical growth. Internat. Math. Res. Notices 1994, no. 7, 303ff., approx. 7 pp.
  • Struwe, Michael; Tarantello, Gabriella. On multivortex solutions in Chern-Simons gauge theory. Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) 1 (1998), no. 1, 109–121.
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References
  1. "Cantor medal for Michael Struwe, von Kaven-prize for Eva Viehmann". European Mathematical Society. 2012. Archived from the original on 11 December 2013. Retrieved 11 December 2013.
  2. "Michael Struwe". Mathematical Genealogy Project. Retrieved 10 December 2013.
  3. Jost, Jürgen (January 1993). "Variational methods (Applications to nonlinear PDE and Hamiltonian systems)". Bulletin of the American Mathematical Society. New series. 28 (1): 149–153. doi:10.1090/s0273-0979-1993-00339-2.
  4. List of Fellows of the American Mathematical Society, retrieved 2014-01-19.
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