The interface blow-up phenomenon and local estimates for doubly degenerate parabolic equations

Source: Applicable Analysis, Volume 86, Number 6, June 2007 , pp. 755-782(28)

Buy & download fulltext article:

Price: $56.94 plus tax (Refund Policy)

Abstract:

We study two classes of degenerate parabolic equations of the forms [image omitted] where λ >0, m+λ-2 >0 and a(s) and ρ(s) are positive continuous functions on (0,∞).We examine under which conditions on behaviour of a(s) and ρ(s), corresponding non-negative solutions of the Cauchy problems possess the finite speed of propagations or the interface blow-up phenomena. Moreover, we study local behaviour of solutions of the corresponding Cauchy problems under the optimal assumptions of initial data.

Keywords: AMS 2000 Mathematics Subject Classifications35B33; 35B45; 35K55; 35K65

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00036810701435711

Publication date: 2007-06-01

More about this publication?