Spatial Profile of the Dead Core for the Fast Diffusion Equation with Dependent Coefficient

Zhengce Zhang, Biao Wang
2011 International Journal of Differential Equations  
We consider the dead-core problem for the fast diffusion equation with spatially dependent coefficient and obtain precise estimates on the single-point final dead-core profile. The proofs rely on maximum principle and require much delicate computation.
doi:10.1155/2011/751969 fatcat:bz4z2y55xze2fkavlc33gsgxey