Volume 9, Number 3, December, pp. 417-460
Ravi P. Agarwal and Agostino Prástaro
Key words:
Singular PDE's, Surgery techniques, Bordisms groups in PDE's, Boundary value problems
Mathematices Subject Classification: Primary 55N22, 57R20. Secondary 58J32, 20H15
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Abstract:
Local and global existence theorems for boundary value problems in singular PDE's are considered. In particular, surgery techniques and integral bordism groups are utilized, following previous works by A.Prástaro on PDE's, in order to build global solutions crossing also singular points and to study their stability properties.
Singular PDE's geometry and boundary value problems