2006/09/03 by A. M. Vinogradov, G. Moreno, J. Moreno · 4 citations
Mathematics · Physics and Astronomy · #Advanced Banach Space Theory #Boundary (topology) #Class (philosophy) #Context (archaeology) #Holomorphic and Operator Theory #Interpretation (philosophy) #Jet (fluid) #Nonlinear Partial Differential Equations #Partial differential equation #Sequence (biology) #Transversality #math-ph #math.DG #math.MP #msc:58A10 #msc:58A12 #msc:58A20 #msc:58E99 #msc:58J10
paper · pdf · doi:10.1134/s1064562407020081
published in Doklady Mathematics 75(2), 204-207 (Pleiades Publishing) · 7 pages; no proofs given
arxiv created 2006/09/03 · openalex publication_date 2007/04/01 · arxiv updated 2010/06/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Domains in infinite jets present the simplest class of diffieties with boundary. In this note some basic elements of geometry of these domains are introduced and an analogue of the C-spectral sequence in this context is studied. This, in particular, allows cohomological interpretation and analysis of initial data, boundary conditions, etc, for general partial differential equations and of transversality conditions in calculus of variations. This kind applications and extensions to arbitrary diffieties will be considered in subsequent publications.