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.
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页码：203 / 226
页数：24
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