𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Cousin problem for systems of PDE

✍ Scribed by Shiva Shankar


Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
111 KB
Volume
280
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

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 Ext^1^ module associated to the problem. (Β© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)


πŸ“œ SIMILAR VOLUMES


A Basis for Polynomial Solutions to Syst
✍ Paul S. Pedersen πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 261 KB

Let K represent either the real or the complex numbers. Let P k , k=1, 2, ..., r be constant coefficient (with coefficients from K) polynomials in n variables and let r] be the set of all polynomial solutions (of degree M) to this system of partial differential equations. We solve the problem of fi

Renormalization of the Ο„-functions for i
✍ Michael A. McDonald; Stephanos Venakides πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 553 KB

We introduce a renormalization procedure for the Ο„ -function of integrable systems. We illustrate the procedure using the supercritical Toda shock problem as a model problem. We start with a finite chain and take the limit of the solution as the number of particles N β†’ ∞. This results in a new formu

An optimal control problem for a class o
✍ D.J. Ball; J.R. Hewit πŸ“‚ Article πŸ“… 1973 πŸ› Elsevier Science 🌐 English βš– 413 KB

The optimal control of a class of linear deterministic time-invariant multi-dimensional distributed systems is considered. The unconstrained optimal control problem is formulated as a quadratic minimisation in a real Hilbert space. A conjugate gradient minimisation technique is employed in its solut