Problems with free boundaries for the nonlinear evolution equation in problems of metallurgy, medicine, ecology

• Date: 1992
• Main Authors: Mitropolsky , Yu. A., Berezovsky, A. A., Plotnitsky, T. A., Митропольский, Ю. А., Березовский, А. А., Плотницкий, Т. А.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 1992
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7796
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider problems with free boundaries for an unknown scalar function and its level surface. We study problems of uniqueness, monotonicity, spatial localization and the existence of solutions. We survey the constructive methods developed for solving specific problems and mathematical prediction i...