TY - JOUR
T1 - Semigroup characterization of Besov type Morrey spaces and well-posedness of generalized Navier-Stokes equations
AU - Lin, Chin Cheng
AU - Yang, Qixiang
N1 - Funding Information:
E-mail addresses: [email protected] (C.-C. Lin), [email protected] (Q.X. Yang). 1 Supported by National Science Council of Taiwan under Grant #NSC 100-2115-M-008-002-MY3. 2 Supported by National Natural Science Foundation of China under Grant #11271209.
PY - 2013/1/15
Y1 - 2013/1/15
N2 - The well-posedness of generalized Navier-Stokes equations with initial data in some critical homogeneous Besov spaces and in some critical Q spaces was known. In this paper, we establish a wavelet characterization of Besov type Morrey spaces under the action of semigroup. As an application, we obtain the well-posedness of smooth solution for the generalized Navier-Stokes equations with initial data in some critical homogeneous Besov type Morrey spaces (Bp,pγ1,γ2)n (12<β<1, γ 1-γ 2=1-2β), 1
AB - The well-posedness of generalized Navier-Stokes equations with initial data in some critical homogeneous Besov spaces and in some critical Q spaces was known. In this paper, we establish a wavelet characterization of Besov type Morrey spaces under the action of semigroup. As an application, we obtain the well-posedness of smooth solution for the generalized Navier-Stokes equations with initial data in some critical homogeneous Besov type Morrey spaces (Bp,pγ1,γ2)n (12<β<1, γ 1-γ 2=1-2β), 1
KW - BMO spaces
KW - Besov type Morrey spaces
KW - Navier-Stokes equations
KW - Q spaces
KW - Wavelets
KW - Well-posedness
UR - http://www.scopus.com/inward/record.url?scp=84868197493&partnerID=8YFLogxK
U2 - 10.1016/j.jde.2012.09.017
DO - 10.1016/j.jde.2012.09.017
M3 - 期刊論文
AN - SCOPUS:84868197493
SN - 0022-0396
VL - 254
SP - 804
EP - 846
JO - Journal of Differential Equations
JF - Journal of Differential Equations
IS - 2
ER -