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 55, Number 3

#### Publication Date: September 1987

On nonstationary flows of viscous and ideal fluids in $L_{s}^{p}(\mathbb{R}^2)$

Tosio Kato and Gustavo Ponce; 487-499

Cycle classes and Riemann-Roch for crystalline cohomology

Henri Gillet and William Messing; 501-538

Holomorphic approximation and estimates for the $\bar{\partial}$-equation on strictly pseudoconvex nonsmooth domains

Joaquim Bruna and Josep M. Burgués; 539-596

Irregularity of surfaces with a linear pencil

Gang Xiao; 597-602

The Hodge structures on the intersection homology of varieties with isolated singularities

Steven Zucker; 603-616

Abelian varieties with several principal polarizations

Herbert Lange; 617-628

Vanishing cycles, ramification of valuations, and class field theory

Kazuya Kato; 629-659

On Shimura’s correspondence

Daniel Bump and Jeffrey Hoffstein; 661-691

The Poisson bracket on the space of measured foliations on a surface

Albert Fathi; 693-697

Regularity of solutions to the Schrödinger equation

Per Sjölin; 699-715