A geometric formulation of singular PDE's is considered. Surgery techniques and integral bordism groups are utilized, following previous works by A.Pr\'astaro on PDE's, in order to build global solutions crossing also singular points and to study their stability properties. A detailed proof on the integral characterization of singular ODE's is given.
On singular PDE's geometry and boundary value problems / AGARWAL R., P; Prastaro, Agostino. - In: APPLICABLE ANALYSIS. - ISSN 0003-6811. - STAMPA. - 8:88(2009), pp. 1115-1131. [10.1080/00036810902943612]
On singular PDE's geometry and boundary value problems
PRASTARO, Agostino
2009
Abstract
A geometric formulation of singular PDE's is considered. Surgery techniques and integral bordism groups are utilized, following previous works by A.Pr\'astaro on PDE's, in order to build global solutions crossing also singular points and to study their stability properties. A detailed proof on the integral characterization of singular ODE's is given.File allegati a questo prodotto
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