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On the singular PDE's geometry and boundary value problems |
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| Authors: | Ravi P. Agarwal Agostino Prástaro |
| Affiliation: | 1. Department of Mathematical Sciences , Florida Institute of Technology , 150 West University Blvd, Melbourne, FL 32901-6975, USA agarwal@fit.edu;3. Department of Methods and Mathematical Models for Applied Sciences , University of Rome ‘La Sapienza’ , Via A.Scarpa 16, 00161 Rome, Italy |
| Abstract: | A geometric formulation of singular partial differential equations (PDEs) is considered. Surgery techniques and integral bordism groups are utilized, following previous works by Prástaro on PDEs, in order to build global solutions crossing also singular points and to study their stability properties. |
| Keywords: | singular PDEs surgery techniques bordisms groups in PDEs boundary value problems |