TY - JOUR T1 - The One-dimensional Quasilinear Verigin Problem AU - Liang Jin JO - Journal of Partial Differential Equations VL - 2 SP - 74 EP - 96 PY - 1991 DA - 1991/04 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5770.html KW - verigin displacement KW - quasilinear KW - free boundary KW - interface KW - diffraction KW - existence KW - uniqueness smoothness AB - In this paper, we consider the one-dimensional quasilinear Verigin problem and the relative diffraction problem. The existence, uniqueness, and the smoothness of the global solution are discussed.