In this paper the quasilinear heat equation with the nonlinear boundary condition is studied. The blow-up rate and existence of a self-similar solution are obtained. It is proved that the rescaled function v(y, t) = (Tt) 1/(2p+Ξ±-2) u((Tt) (p-1)/(2p+Ξ±-2) y, t), behaves as t β T like a nontrivial self
β¦ LIBER β¦
Short time behavior near the boundary for the heat equation with a nonlinear boundary condition
β Scribed by Carmen Cortazar; Manuel Elgueta; Julio D. Rossi
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 85 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0362-546X
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