Global solution of the critical Burgers equation in N Dimensions. (15th July 2017)

• Record Type: Journal Article
• Authors: Ru, Shaolei; Chen, Jiecheng
• Is Part Of: Computers & mathematics with applications. Volume 74:issue 2(2017)
• Page Start: 325
• Page End: 335
• Publication Date: 2017-07-15
• Subjects: Critical Burgers equation -- Global well-posedness -- Modulus of continuity; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2017.04.022
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: In this paper, we first prove the local well-posedness of the fractional Burgers equations in N Dimensions. Combining the local well-posedness and the method of modulus of continuity, we show the global well-posedness of the N-D critical Burgers equation in critical Besov spaces B ̇ p, 1 N p ( R N ) with p ∈ [ N, ∞ ) .