International Conference on Computer Technology and Development, 3rd (ICCTD 2011)
11 The Solutions for the Equations with Localized Consistent Blow-Up Rate
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In this paper, The Dirichlet problem for a localized nonlinear equation ut1Â1um = a(x)up(0,t)+b(x)uq(x,t) is investigated. In the case of p>q 1Â¥ m, It is proved that the solutions have a global blow-up and the rate of blow-up is uniform in all compact subsets of the domain.