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Heat Content Asymptotics for Riemannian Manifolds with Zaremba Boundary Conditions

โœ Scribed by M. van den Berg; P. Gilkey; K. Kirsten; V. A. Kozlov


Publisher
Springer Netherlands
Year
2007
Tongue
English
Weight
608 KB
Volume
26
Category
Article
ISSN
0926-2601

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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+ฮฑ-2) u((Tt) (p-1)/(2p+ฮฑ-2) y, t), behaves as t โ†’ T like a nontrivial self