Mild well-posedness of vector-valued problems on the real line

作者：Bu Shangquan^*

来源：Archiv der Mathematik, 2010, 95(1): 63-73.

DOI：10.1007/s00013-010-0134-0

• Mild well-posedness
• Vector-valued problems
• L(p)-multipliers

We introduce the (W(1,p), L(p))-mild well-posedness for the vector-valued problem u' = Au + f on the real line R and give a characterization of this property by the L(p)-multiplier defined by the resolvent of the closed operator A.

• 出版日期2010-7
• 单位清华大学