Wilfrid Gangbo
Born: ; place: Benin


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PhD (Mathematics)
Swiss Federal Institute of Technology (1992), Lausanne
thesis: NonConvex 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.
19931995 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
research interests: Nonconvex 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: 0198511965
book: Evans, L. C.; Gangbo, W. Differential equations
methods for the MongeKantorovich mass transfer problem. Mem.
Amer. Math. Soc., #653, 137, 1999.
Selcted Papers by Wilfrid Gangbo
 CorderoErausquin, Dario; Gangbo, Wilfrid; Houdré,
Christian Inequalities for generalized entropy and optimal
transportation. Recent advances in the theory and applications
of mass transport, 7394, Contemp. Math., 353, Amer.
Math. Soc., Providence, RI, 2004.
 Carlen, E. A.; Gangbo, W. Solution of a model Boltzmann
equation via steepest descent in the 2Wasserstein metric.
Arch. Ration. Mech. Anal. 172 (2004), no. 1, 2164.
 E. A Carlen and W. Gangbo. Constrained steepest
descent in the 2Wassertein metric, Annals of Math. 157,
May (2003)
 Brenier, Yann; Gangbo, Wilfrid $L\sp p$ approximation
of maps by diffeomorphisms. Calc. Var. Partial Differential
Equations 16 (2003), no. 2, 147164.
 Cullen, M. and W. Gangbo. A Variational Approach
for the 2D SemiGeostrophic Shallow Water Equations. Arch.
Rat. Mech. and Anal., 2001.
 Gangbo, W. and R. Van der Putten. Uniqueness of
Equilibrium Configurations in Solid Crystals. SIAM Math.
Anal. no 3, 465492, 2000.
 Gangbo, W. and McCann, R. Shape Recognition via
Wasserstein Distance. Quarterly Appl. Math., no 4, 705737,
2000.
 Cardarliaguet, P. and Gangbo, W., et al. Geometric
Restrictions for the Existence of Viscosity Solutions. Ann.
Inst. Henri Poincare, 189220, 1999.
 Gangbo, Wilfrid The Monge mass transfer problem
and its applications. Monge Ampère equation:
applications to geometry and optimization (Deerfield Beach, FL,
1997), 79104, Contemp. Math., 226, Amer. Math. Soc.,
Providence, RI, 1999.
 Gangbo, Wilfrid; \'Swi\c ech, Andrzej Optimal maps
for the multidimensional MongeKantorovich problem. Comm.
Pure Appl. Math. 51 (1998), no. 1, 2345.
 Gangbo, Wilfrid; McCann, Robert J. The geometry
of optimal transportation. Acta Math. 177 (1996),
no. 2, 113161.
 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, 16531658.
 Fonseca, I.; Gangbo, W. Local invertibility of
Sobolev functions. SIAM J. Math. Anal. 26 (1995),
no. 2, 280304.
 Gangbo, Wilfrid An elementary proof of the polar
factorization of vectorvalued functions. Arch. Rational
Mech. Anal. 128 (1994), no. 4, 381399.
 Gangbo, Wilfrid An elementary proof of the polar
factorization of vectorvalued functions. Arch. Rational
Mech. Anal. 128 (1994), 381399.
 Gangbo, W. On the weak lower semicontinuity of
energies with polyconvex integrands. J. Math. Pures
Appl. (9) 73 (1994), no. 5, 455469.
 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, 1735.
 Gangbo, Wilfrid On the continuity of the polyconvex,
quasiconvex and rankoneconvex envelopes with respect to growth
condition. Proc. Roy. Soc. Edinburgh Sect. A 123
(1993), no. 4, 707729.
 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, 2950.
 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. 12,
135150.

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