Symmetrization and initial boundary-value problems for certain classes of nonlinear second order parabolic equations

• Date: 1993
• Main Authors: Bazalii, B. V., Tedeev, A. F., Базалий, Б. В., Тедеев, А. Ф.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1993
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5880
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Initial boundary-value problems are considered for equations of porous medium and $p$-Laplace types. By using the Schwarz symmetrization method, the $L_p$-estimates for the solutions of the original problems are obtained in terms of the analogous estimates for the corresponding symmetric solutions.