Local Decompositions of Second Order Infinite‐Dimensional Systems | Zendy

Rams Hubert | Zendy; Schöberl Markus | Zendy; Schlacher Kurt | Zendy

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Local Decompositions of Second Order Infinite‐Dimensional Systems

Author(s) -

Rams Hubert,

Schöberl Markus,

Schlacher Kurt

Publication year - 2016

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201610401

Subject(s) - decomposition , nonlinear system , simple (philosophy) , mathematics , partial differential equation , order (exchange) , boundary (topology) , vector field , field (mathematics) , first order , differential (mechanical device) , mathematical analysis , pure mathematics , geometry , physics , ecology , philosophy , epistemology , finance , quantum mechanics , economics , biology , thermodynamics

This article deals with the local system decomposition of infinite‐dimensional systems, which are described by second‐order nonlinear partial differential equations. It will be shown that the existence of a certain codistribution allows a local triangular decomposition of the generalized system vector field and the boundary conditions. Based on this triangular decomposition, non‐accessibility follows by a simple structural analysis. Throughout the article differential geometric methods are applied, highlighting the geometric picture behind the system description. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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