GLOBAL EXISTENCE OF SOLUTIONS OF VOLTERRA INTEGRODIFFERENTIAL EQUATIONS OF PARABOLIC TYPE

被引：19
作者：
GRIPENBERG, G
机构：
[1] Department of Mathematics, University of Helsinki, 00100 Helsingfors
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 1993年 / 102卷 / 02期
关键词：
D O I：
10.1006/jdeq.1993.1035
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Sufficient conditions for the global existence of a strong solution of the equation ut (t, x) = ∫t0k(t - s) σ(ux(s, x))xds + f(t, x) are given. The kernel k satisfies Rk̂(z) ≥ κ |k̂(z)| and σ is increasing with sup (σ′ (p)) < 1 + 2κ([formula] + κ). © 1993 Academic Press, Inc.
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页码：382 / 390
页数：9
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