Lp Contractive solutions for scalar conservation laws

被引：1

作者：

Hinohara, Kihito ^{[1
]}

Minagawa, Natsuki ^{[1
]}

Ohwa, Hiroki ^{[2
]}

Suzuki, Hiroya ^{[1
]}

Ukita, Shou ^{[1
]}

机构：

[1] Niigata Univ, Grad Sch Sci & Technol, Nishi Ku, 8050 Ikarashi 2 No Cho, Niigata 9502181, Japan

[2] Niigata Univ, Fac Sci, Dept Math, Nishi Ku, 8050 Ikarashi 2 No Cho, Niigata 9502181, Japan

来源：

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS | 2022年 / 19卷 / 02期

关键词：

Conservation laws; Cauchy problem; L-p contractive semigroup; stability; STABILITY; SYSTEMS;

D O I：

10.1142/S0219891622500059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We estimate the L-p distance between piecewise constant solutions to the Cauchy problem of scalar conservation laws and propose a sufficient condition for having an L-p contraction of such solutions. Moreover, we prove that there exist L-p contractive solutions on a set of all monotone bounded initial functions to the Cauchy problem of scalar conservation laws with convex or concave flux functions.

引用

页码：203 / 226

页数：24

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