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The Local Strong and Weak Solutions for a Generalized Novikov Equation.
- Source :
-
Abstract & Applied Analysis . 2012, p1-14. 14p. - Publication Year :
- 2012
-
Abstract
- The Kato theorem for abstract differential equations is applied to establish the local well-posedness of the strong solution for a nonlinear generalized Novikov equation in space C([0,T),Hs(R)) ∩ C1([0,T),Hs-1(R)) with s>(3/2). The existence of weak solutions for the equation in lower-order Sobolev space Hs(R) with 1 ≤ s ≤ (3/2) is acquired. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10853375
- Database :
- Academic Search Index
- Journal :
- Abstract & Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 85039232
- Full Text :
- https://doi.org/10.1155/2012/158126