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The periodic boundary value problem for a quasilinear evolution equation in Besov spaces
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نویسنده
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wu y. ,liu z. ,zhang x.
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منبع
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journal of function spaces - 2015 - دوره : 2015 - شماره : 0
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چکیده
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This paper is concerned with the periodic boundary value problem for a quasilinear evolution equation of the following type: ∂tu + f (u) ∂xu + f (u) = 0,x ∈ = ℝ/2πℤ,t ∈ ℝ+. under some conditions,we prove that this equation is locally well-posed in besov space bp,rs . furthermore,we study the continuity of the solution map for this equation in b2,rs. our work improves some earlier results. © 2015 yun wu et al.
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آدرس
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department of mathematics and computer science,guizhou normal university,guiyang,guizhou,china,school of mathematics,south china university of technology,guangzhou, China, school of mathematics,south china university of technology,guangzhou, China, department of mathematics and computer science,guizhou normal university,guiyang, China
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Authors
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