Published by Duke University Press since its inception in 1935, the Duke Mathematical Journal is one of the world's leading mathematical journals. Without specializing in a small number of subject areas, it emphasizes the most active and influential areas of current mathematics.
Volume 71, Number 1
Publication Date: July 1993
The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
Carlos E. Kenig, Gustavo Ponce and Luis Vega; 1-21
On the asymptotic behavior of spherically symmetric wave maps
Demetrios Christodoulou and A. Shadi Tahvildar-Zadeh; 31-69
Splitting of nonnegatively curved leaves in minimal sets of foliations
Scot Adams and Garrett Stuck; 71-92
Centrally trivial automorphisms and an analogue of Connes’s $\chi(M)$ for subfactors
Yasuyuki Kawahigashi; 93-118
Singularities of the solution to a certain Cauchy problem and an application to the Pompeiu problem
Peter Ebenfelt; 119-142
Density of integer points on affine homogeneous varieties
W. Duke, Z. Rudnick and P. Sarnak; 143-179
Mixing, counting, and equidistribution in Lie groups
Alex Eskin and Curt McMullen; 181-209
Asymptotics of the determinant of the Laplacian on hyperbolic surfaces of finite volume
Rolf E. Lundelius; 211-242
Asymptotic completeness for $N \leq 4$ particle systems with the Coulomb-type interactions
I. M. Sigal and A. Soffer; 243-298
Rational and real homotopy theory with arbitrary fundamental groups
Edgar H. Brown, Jr. and Robert H. Szczarba; 299-316
When is a family of submanifolds locally diffeomorphic to a family of planes?
A. B. Goncharov; 317-331
Addendum to: “A perturbation result in prescribing scalar curvature on $S^n$”
Sun-Yung Alice Chang and Paul C. Yang; 333-335
Duke Mathematical Journal
