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On the role of the Besov spaces for the solutions of the generalized burgers equation in homogeneous Sobolev spaces

✍ Scribed by Ezzeddine Zahrouni

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 261 KB
Volume: 54
Category: Article
ISSN: 0362-546X
DOI: 10.1016/s0362-546x(03)00035-x

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✦ Synopsis

The generalized Burgers equation @tu -@xxu + @xu k+1 = 0, with initial data u0 in homogeneous Sobolev spaces are investigated. The starting point of this work is the construction of solutions in

. If in addition, the initial data belongs to Lp;s then the obtained solution is actually in L ∞ ([0; ∞); Lp;s ).

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