Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4663646 | Acta Mathematica Scientia | 2015 | 39 Pages |
Abstract
The initial–boundary value problem for a general balance law in a bounded domain is proved to be well posed. Indeed, we show the existence of an entropy solution, its uniqueness and its Lipschitz continuity as a function of time, of the initial datum and of the boundary datum. The proof follows the general lines in [4], striving to provide a rigorous treatment and detailed references.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)