TY - JOUR T1 - The Global Solutions of the Scalar Nonconvex Conservation Law with Boundary Condition AU - Tao Pan & Longwei Lin JO - Journal of Partial Differential Equations VL - 4 SP - 371 EP - 383 PY - 1995 DA - 1995/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5668.html KW - Scalar conservation law KW - nonconvex KW - boundary condition KW - polygonal approximations method AB - Using the polygonal approximations method, we construct the global approximate solution of the initial boundary value problem (1.1)-(1.3) for the scalar nonconvex conservation law, and prove its convergence. The crux of this work is to clarify the behavior of the approximations on the boundary x = 0.