The Cauchy problem for degenerate parabolic equations with source and damping

• Published in: Український математичний вісник
• Date: 2004
• Main Authors: Andreucci, D., Tedeev, A.F., Ughi, M.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2004
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/124607
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Cauchy problem for degenerate parabolic equations with source and damping / D. Andreucci, A. F. Tedeev, M. Ughi // Український математичний вісник. — 2004. — Т. 1, № 1. — С. 1-20. — Бібліогр.: 30 назв. — англ.

We prove optimal estimates for the decay of mass of solutions to the Cauchy problem for a wide class of quasilinear parabolic equations with damping terms. In the degenerate case, we also prove estimates for the finite speed of propagation. When the equation contains also a blow up term, we discuss...