Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664837 | Acta Mathematica Scientia | 2010 | 7 Pages |
Abstract
This article is concerned with large time behavior of solutions to the Neumann or Dirichlet problem for a class of Newtonian filtration with 0 < m < 1, p > 1, λ ≥ 0, k ∈ ℝ. An interesting phenomenon is that there exist two thresholds k∞ and k1 for the exponent k, such that the critical Fujita exponent pc for p exists and is finite if k ∈ (k∞, k1), otherwise, pc is infinite or does not exist.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)