Wilfrid Gangbo

Born: ; place: Benin


PhD (Mathematics) Swiss Federal Institute of Technology (1992), Lausanne
thesis: Non-Convex Problems in the Calculus of Variations; advisor: B. Dacorogna

Professor of Mathematics Georgia Institute of Technology

personal or universal URL: http://www.math.gatech.edu/~gangbo/
email: gangbo@math.gatech.edu

Gangbo attended graduate school at Swiss Federale Institute of Technology where he earned his Ph.D. in 1992. From 1992 to 1993, Dr. Gangbo was a Postdoc Associate at Carnegie Mellon University. 1993--1995 he was located at the Mathematical Sciences Research Institute in Berkeley. Dr. Wifrid Gango joined the mathematics department of Georgia Tech as an Assistant Professor in 1995. In 1999 he was promoted to Associate professor. In 2001 he was promoted to Professor - from Ph.D. to Full Professor in nine years is very strong.

Professor Gango is Founder of "EcoAfrica," association of scientists involved in several projects in support of African countries. EcoAfrica was founded in 1990 in Switzerland and currently has six members. In the past years, EcoAfrica received funds mostly from Swiss institutions such as DDA, a Swiss Goverment Agency. Among other things, EcoAfrica has organized several workshops in Applied Mathematics in Senegal and intends to do the same in other countries in Africa.


research interests: Non-convex Optimization, Functional Analysis, Nonlinear Partial Equations, Calculus of Variations

Books by Wilfrid Gangbo

book: Fonseca, Irene and Gangbo, Wilfrid Degree theory in analysis and applications. Oxford Lecture Series in Mathematics and its Applications, 2. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York, 1995. viii+211 pp. ISBN: 0-19-851196-5

book: Evans, L. C.; Gangbo, W. Differential equations methods for the Monge-Kantorovich mass transfer problem. Mem. Amer. Math. Soc., #653, 137, 1999.

Selcted Papers by Wilfrid Gangbo

  1. Cordero-Erausquin, Dario; Gangbo, Wilfrid; Houdré, Christian Inequalities for generalized entropy and optimal transportation. Recent advances in the theory and applications of mass transport, 73--94, Contemp. Math., 353, Amer. Math. Soc., Providence, RI, 2004.
  2. Carlen, E. A.; Gangbo, W. Solution of a model Boltzmann equation via steepest descent in the 2-Wasserstein metric. Arch. Ration. Mech. Anal. 172 (2004), no. 1, 21--64.
  3. E. A Carlen and W. Gangbo. Constrained steepest descent in the 2-Wassertein metric, Annals of Math. 157, May (2003)
  4. Brenier, Yann; Gangbo, Wilfrid $L\sp p$ approximation of maps by diffeomorphisms. Calc. Var. Partial Differential Equations 16 (2003), no. 2, 147--164.
  5. Cullen, M. and W. Gangbo. A Variational Approach for the 2-D Semi-Geostrophic Shallow Water Equations. Arch. Rat. Mech. and Anal., 2001.
  6. Gangbo, W. and R. Van der Putten. Uniqueness of Equilibrium Configurations in Solid Crystals. SIAM Math. Anal. no 3, 465--492, 2000.
  7. Gangbo, W. and McCann, R. Shape Recognition via Wasserstein Distance. Quarterly Appl. Math., no 4, 705--737, 2000.
  8. Cardarliaguet, P. and Gangbo, W., et al. Geometric Restrictions for the Existence of Viscosity Solutions. Ann. Inst. Henri Poincare, 189--220, 1999.
  9. Gangbo, Wilfrid The Monge mass transfer problem and its applications. Monge Ampère equation: applications to geometry and optimization (Deerfield Beach, FL, 1997), 79--104, Contemp. Math., 226, Amer. Math. Soc., Providence, RI, 1999.
  10. Gangbo, Wilfrid; \'Swi\c ech, Andrzej Optimal maps for the multidimensional Monge-Kantorovich problem. Comm. Pure Appl. Math. 51 (1998), no. 1, 23--45.
  11. Gangbo, Wilfrid; McCann, Robert J. The geometry of optimal transportation. Acta Math. 177 (1996), no. 2, 113--161.
  12. Gangbo, Wilfrid; McCann, Robert J. Optimal maps in Monge's mass transport problem. C. R. Acad. Sci. Paris Sér. I Math. 321 (1995), no. 12, 1653--1658.
  13. Fonseca, I.; Gangbo, W. Local invertibility of Sobolev functions. SIAM J. Math. Anal. 26 (1995), no. 2, 280--304.
  14. Gangbo, Wilfrid An elementary proof of the polar factorization of vector-valued functions. Arch. Rational Mech. Anal. 128 (1994), no. 4, 381--399.
  15. Gangbo, Wilfrid An elementary proof of the polar factorization of vector-valued functions. Arch. Rational Mech. Anal. 128 (1994), 381--399.
  16. Gangbo, W. On the weak lower semicontinuity of energies with polyconvex integrands. J. Math. Pures Appl. (9) 73 (1994), no. 5, 455--469.
  17. Buttazzo, G.; Dacorogna, B.; Gangbo, W. On the envelopes of functions depending on singular values of matrices. Boll. Un. Mat. Ital. B (7) 8 (1994), no. 1, 17--35.
  18. Gangbo, Wilfrid On the continuity of the polyconvex, quasiconvex and rank-one-convex envelopes with respect to growth condition. Proc. Roy. Soc. Edinburgh Sect. A 123 (1993), no. 4, 707--729.
  19. Dacorogna, B.; Gangbo, W.; Subía, N. Sur une généralisation de l'inégalité de Wirtinger. (French) [On a generalization of the Wirtinger inequality] Ann. Inst. H. Poincaré Anal. Non Linéaire 9 (1992), no. 1, 29--50.
  20. Dacorogna, B.; Douchet, J.; Gangbo, W.; Rappaz, J. Some examples of rank one convex functions in dimension two. Proc. Roy. Soc. Edinburgh Sect. A 114 (1990), no. 1-2, 135--150.

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