Global fold maps in differential and integral equations

DOI10.1016/0362-546X(92)90169-FzbMath0771.58003MaRDI QIDQ4030855

P. T. Church, James G. Timourian

Publication date: 1 April 1993

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

integral operatorsingularitydifferential operatorfold map

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Fredholm structures on infinite-dimensional manifolds (58B15) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Related Items (7)

Local algebras of differential operators ⋮ The Structure of a Nonlinear Elliptic Operator ⋮ Oriented global fold maps in differential and integral equations ⋮ Positive eigenvectors and simple nonlinear maps ⋮ Fibers and global geometry of functions ⋮ Global cusp maps in differential and integral equations ⋮ Detection of high codimensional bifurcations in variational PDEs

Cites Work

• Singularities of a simple elliptic operator
• On the inversion of some differentiable mappings with singularities between Banach spaces
• Linear and quasilinear elliptic equations
• Change of variables for absolutely continuous functions
• Natural Operations on Differential Forms
• Folds and Cusps in Banach Spaces with Applications to Nonlinear Partial Differential Equations. II
• Characterizing Hilbert space topology
• Examples of global normal forms for some simple nonlinear integral operators
• A proof of the generalized Schoenflies theorem
• Taming codimension three embeddings
• Equivalent Norms for Sobolev Spaces
• Smoothings and homeomorphisms for Hilbert manifolds
• Locally flat imbeddings of topological manifolds
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Global fold maps in differential and integral equations