Yuanwei Qi & Mingxin Wang
In this paper we study a doubly singular parabolic equation with absorption,
with , , , and . We give a complete classification of solutions, which we call singular, that are non-negative, non-trivial, continuous in , and satisfy for all . Applications of similar but simpler equations show that these solutions are very important in the study of intermediate asymptotic behavior of general solutions.
Submitted July 15, 2000. Published November 8, 2000.
Math Subject Classifications: 35K65, 35K15.
Key Words: doubly singular parabolic equation, absorption, singular solutions.
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Department of Applied Mathematics, Southeast University,
Nanjing 210018, P. R. China