On the instantaneous shrinking of the support of a solution to the Cauchy problem for an anisotropic parabolic equation

• Datum: 2009
• Hauptverfasser: Degtyarev, S. P., Дегтярев, С. П.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2009
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3046
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study the phenomenon of instantaneous shrinking of the support of solution to the Cauchy problem for the parabolic equation with anisotropic degeneration, double nonlinearity, and strong absorption. In terms of the behavior of locally integrable initial data, we formulate necessary and sufficient...