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Abstract:
In this paper, we make the first attempt to investigate the Cauchy problem of a shallow water model, namely, the inviscid lake equations, in the Besov spaces. Notably, we prove the global existence and uniqueness of the solutions in the Besov spaces Bp,qs(Double-struck capital R2)$$ {B}_{p,q} circumflex s\left({\mathbb{R}} circumflex 2\right) $$ for s>2p+1$$ s >\frac{2}{p}+1 $$ and s=2p+1$$ s equal to \frac{2}{p}+1 $$ if q=1$$ q equal to 1 $$, which contain the particular case of the endpoint Besov space B infinity,11(Double-struck capital R2)$$ {B}_{\infty, 1} circumflex 1\left({\mathbb{R}} circumflex 2\right) $$.
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Source :
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN: 0170-4214
Year: 2022
Issue: 16
Volume: 45
Page: 9545-9559
2 . 9
JCR@2022
2 . 9 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
ESI HC Threshold:20
JCR Journal Grade:1
CAS Journal Grade:4
Cited Count:
WoS CC Cited Count: 0
SCOPUS Cited Count:
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 8
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