We improve some our previous theorems on the calculation of integral bordism groups of formally integrable and completely integrable PDE's, emphasizing the role played by singular solutions and weak solutions, other than smooth ones. Some applications to interesting PDE's, defined on finite dimensional manifolds, are also considered.
Geometry of PDE's. I: Integral bordism groups in PDE's / Prastaro, Agostino. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 2:319(2006), pp. 547-566. [10.1016/j.jmaa.2005.06.044]
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Titolo: | Geometry of PDE's. I: Integral bordism groups in PDE's. | |
Autori: | ||
Data di pubblicazione: | 2006 | |
Rivista: | ||
Citazione: | Geometry of PDE's. I: Integral bordism groups in PDE's / Prastaro, Agostino. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 2:319(2006), pp. 547-566. [10.1016/j.jmaa.2005.06.044] | |
Handle: | http://hdl.handle.net/11573/34288 | |
Appartiene alla tipologia: | 01a Articolo in rivista |