Stefan problem for the laplace equation with regard for the curvature of the free boundary

• Date: 1997
• Main Authors: Bazalii, B. V., Базалий, Б. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1997
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5128
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider a nonstationary problem with free boundary for an elliptic equation in the case where the value of the required function on an unknown boundary is proportional to the curvature of this boundary. We prove the existence of a solution in the small with respect to time in the spaces of smoot...