MAXIMAL REGULARITY FOR INTEGRAL EQUATIONS IN BANACH SPACES

被引：6

作者：

Bu, Shangquan ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2011年 / 15卷 / 01期

关键词：

Fourier multiplier; Maximal regularity; Integral equation; Besov spaces; VALUED FOURIER MULTIPLIERS; L-P-REGULARITY; INTEGRODIFFERENTIAL EQUATIONS; DELAY EQUATIONS; BESOV-SPACES;

D O I：

10.11650/twjm/1500406172

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study maximal regularity in periodic Besov spaces B(p,q)(s)(T, X) for the integral equations (P): u(t) = A integral(t)(-infinity) a(t - s)u(s)ds) + B integral(t)(-infinity) b(t - s)u(s)u(s)ds + f(t) on [0, 2 pi] with periodic boundary condition u(0) = u(2 pi), where A and B are closed operators in a Banach space X, a, b is an element of L(1)(R(+)) and f is a given function defined on [0, 2 pi] with values in X. Under suitable assumptions on the kernels a, b and the closed operators A, B, we completely characterize B(p,q)(s)-maximal regularity of (P).

引用

页码：229 / 240

页数：12

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