Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614522 | Journal of Mathematical Analysis and Applications | 2016 | 11 Pages |
Abstract
In this paper, we study periodic solution to p -system via a modified Glimm scheme in BV space. We show that for the periodic initial data U0(x)∈L∞∩BVloc(R)U0(x)∈L∞∩BVloc(R), there exists an entropy solution U(x,t)U(x,t) which belongs to L∞∩BVloc(R×R+)L∞∩BVloc(R×R+). This problem has been studied by Frid [4]. By obtaining a more precise estimate on the approximate solution, we get a more general result.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Zejun Wang, Qi Zhang,