TY - JOUR T1 - Muskat Problem with Surface Tension AU - Jiaxing Hong , Youshan Tao & Fahuai Yi JO - Journal of Partial Differential Equations VL - 3 SP - 213 EP - 231 PY - 1997 DA - 1997/10 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5593.html KW - Lower order terms KW - model problem KW - Fréchet derivative KW - pseudodifferential operator KW - J. Simon's compact theorem AB - In this paper, we consider Muskat problem with surface tension at the free boundary. Under the natural conditions, we prove tbe existence of classical solution locally in time by Schauder fixed point theorem.