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標題: An application of braid group theory to the finite time dead-core rate
作者: Guo, J.S.
Matano, H.
Wu, C.C.
關鍵字: semilinear heat-equations;blow-up;strong absorption;positive;solutions;ii blowup;dynamics
Project: Journal of Evolution Equations
期刊/報告no:: Journal of Evolution Equations, Volume 10, Issue 4, Page(s) 835-855.
We consider the dead-core problem for the semilinear heat equation with strong absorption and with positive boundary values in a ball. We investigate the dead-core rate, i.e. the rate at which the solution reaches its first zero. We first show, as in the one-dimensional case, that the dead-core rate is always faster than the self-similar rate. By using some special solutions and the braid group theory, we then derive the exact dead-core rates for a large class of initial data.
ISSN: 1424-3199
DOI: 10.1007/s00028-010-0072-0
Appears in Collections:應用數學系所

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