ON THE REGULARIZATION EFFECT OF SPACE-TIME WHITE-NOISE ON QUASI-LINEAR PARABOLIC PARTIAL-DIFFERENTIAL EQUATIONS

被引：38

作者：

GYONGY, I ^{[1
]}

PARDOUX, E ^{[1
]}

机构：

[1] UNIV AIX MARSEILLE 1, URA 225, F-13331 MARSEILLE 3, FRANCE

来源：

PROBABILITY THEORY AND RELATED FIELDS | 1993年 / 97卷 / 1-2期

关键词：

Mathematics Subject Classification: 60H15; 35R30;

D O I：

10.1007/BF01199321

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We show that an existence and uniqueness and a comparison theorem hold if we add a space time white noise to a quasi-linear parabolic equation in one space dimension, even if the nonlinearity is only measurable and not even locally bounded.

引用

页码：211 / 229

页数：19

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PROBABILITY THEORY AND RELATED FIELDS, 1993, 94 (04) :413-425

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[No title captured]

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[No title captured]

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