On the singular PDE's geometry and boundary value problems

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Abstract:

A geometric formulation of singular partial differential equations (PDEs) is considered. Surgery techniques and integral bordism groups are utilized, following previous works by Prastaro on PDEs, in order to build global solutions crossing also singular points and to study their stability properties.

Keywords: bordisms groups in PDEs; boundary value problems; singular PDEs; surgery techniques

Document Type: Research Article

DOI: http://dx.doi.org/10.1080/00036810902943612

Affiliations: 1: Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901-6975, USA 2: Department of Methods and Mathematical Models for Applied Sciences, University of Rome 'La Sapienza', 00161 Rome, Italy

Publication date: August 1, 2009

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