Web structures are recognized on any partial differential equation (PDE) that bring new insights in the geometric theory of PDE's. Relations with integrability properties of PDE's, and their integral bordism groups, are obtained also, emphasizing the role played by singular and weak solutions. Applications to some important PDE's of the Mathematical Physics are given too.
Geometry of PDE's. III(I): Webs on PDE's and integral bordism groups. The general theory / Agarwal, R; Prastaro, Agostino. - In: ADVANCES IN MATHEMATICAL SCIENCES AND APPLICATIONS. - ISSN 1343-4373. - STAMPA. - 1:17(2007), pp. 239-266.
Geometry of PDE's. III(I): Webs on PDE's and integral bordism groups. The general theory
PRASTARO, Agostino
2007
Abstract
Web structures are recognized on any partial differential equation (PDE) that bring new insights in the geometric theory of PDE's. Relations with integrability properties of PDE's, and their integral bordism groups, are obtained also, emphasizing the role played by singular and weak solutions. Applications to some important PDE's of the Mathematical Physics are given too.File allegati a questo prodotto
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