TY - JOUR T1 - The Existence and Uniqueness of the Weak Solution for the Evolutionary Electrochemical Machining Problem AU - Guangwei Yuan JO - Journal of Partial Differential Equations VL - 4 SP - 297 EP - 309 PY - 1995 DA - 1995/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5662.html KW - Evolutionary elliptic free boundary problem KW - electrochemical machining problem KW - existence and uniqueness AB - A time dependent electrochemical machining problem, in which the cathode is fed towards the anode with a constant velocity, is studied. We prove the existence and uniqueness of the weak solution for the problem under the assumption that the cathode is C^{1+β} for some β ∈ (0,1).