TY - JOUR
T1 - Largest well-posed spaces for the general diffusion system with nonlocal interactions
AU - Deng, Chao
AU - Liu, Chun
N1 - Publisher Copyright:
© 2017 Elsevier Inc.
PY - 2017/5/15
Y1 - 2017/5/15
N2 - The authors derive a general diffusion (GD) system with nonlocal interactions of special structure via energetic variational approach and observe that there exist two critical values of s, i.e. s=12,1, for the nonlocal interactions, where s=12 reflects how strong nonlocal property we have and s=1 affects the linearization and choice of initial data spaces. The authors also establish the global existence and uniqueness of mild solution.
AB - The authors derive a general diffusion (GD) system with nonlocal interactions of special structure via energetic variational approach and observe that there exist two critical values of s, i.e. s=12,1, for the nonlocal interactions, where s=12 reflects how strong nonlocal property we have and s=1 affects the linearization and choice of initial data spaces. The authors also establish the global existence and uniqueness of mild solution.
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U2 - 10.1016/j.jfa.2017.02.001
DO - 10.1016/j.jfa.2017.02.001
M3 - Article
AN - SCOPUS:85012908937
SN - 0022-1236
VL - 272
SP - 4030
EP - 4062
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 10
ER -