A Cousin problem for systems of PDE

This article formulates an additive Cousin type problem for systems of partial differential equations. The obstruction to the solution of this problem, like the obstruction in the classical Cousin problem, lies in a first cohomology module, viz. in an Ext1 module associated to the problem. (© 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)