华中师范大学学报（自然科学版）2018，Vol.52Issue(3)：303-309,7.DOI:10.19603/j.cnki.1000-1190.2018.03.003
一阶柯西问题的Lp最大正则性特征
Characterizations of L p-maximal regularity for first order Cauchy problems
摘要
Abstract
First this paper introduces the concept of Lp-maximal regularity for first order Cauchy problems.Distinctive from the traditional ones,we then use methods originated from second order problems to study the existence,uniqueness and regularity of solutions for first order initial value problems.Moreover,we prove the independence of T and p of the Lp-maximal regularity for inbomogeneous Cauchy problems.关键词
最大正则空间/迹空间/初值/独立性Key words
maximal regularity space/trace space/initial value/independence分类
数理科学引用本文复制引用
吴尚伟,宋晓秋,张琬迪..一阶柯西问题的Lp最大正则性特征[J].华中师范大学学报（自然科学版）,2018,52(3):303-309,7.基金项目
国家自然科学基金项目(51374199). （51374199）
