The Local Strong Solutions and Global Weak Solutions for a Nonlinear Equation

Meng Wu

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: The existence and uniqueness of local strong solutions for a nonlinear equation are investigated in the Sobolev space C([0, T); Hs(R)) ∩C1([0, T); Hs−1(R)) provided that the initial value lies in Hs(R) with s > 3/2. Meanwhile, we prove the existence of global weak solutions in L∞([0, ∞); L2(R)) for the equation.

Date: 2013
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2013/619068

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:619068

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().