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Stabilization for degenerate diffusion with absorption

✍ Scribed by Noureddine Igbida

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 185 KB
Volume: 54
Category: Article
ISSN: 0362-546X
DOI: 10.1016/s0362-546x(03)00056-7

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📜 SIMILAR VOLUMES

On degenerate diffusion with very strong

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## Abstract We prove the existence of weak global solutions to the degenerate diffusion equation (1) with singular absorption term. Moreover we investigate the regularity up to the quenching time and we show by means of explicit solutions that our regularity results are optimal.

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## Abstract It is shown that the Cauchy problem in ℝ for the strongly degenerate parabolic equation has a nonnegative weak solution for any nonnegative bounded continuous initial datum, provided that __q__ ≤ __p__ – 1, while there is no (continuous) weak solution for __q__ > __p__ – 1. The evoluti

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✍ Toshio Horiuchi 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 274 KB

In connection with the generalized \(p\)-harmonic operator (1-2), we shall treat two topics in the present paper. Namely, the one is concerned with removable singularities of solutions for (1-3) and the other is the unique existence property of bounded solutions.

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✍ Mei Li; Meixia Chen 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 568 KB

This paper deals with degenerate diffusion equations with nonlocal sources. The local existence of a classical solution is given. By making use of super-and sub-solution method we show that the solution exists globally or blows up in finite time under some conditions. Furthermore, the blowup rates o