Fujita type theorems for quasilinear parabolic equations with initial data slowly decaying to zero
Natal'ya Valer'evna AfanasievaInstitute of Applied Mathematics and Mechanics of the National Academy of sciences of Ukraine, Donetsk, UkraineAnatoli F. TedeevInstitute of Applied Mathematics and Mechanics of the National Academy of sciences of Ukraine, Donetsk, Ukraine
2004en
ABI
Abstract
This work deals with the Cauchy problem for a parabolic equation with a double non-linearity of the following type: ut =d iv(u α |Du| m−1 Du )+ u p , where 0 <m + α 1. Existence and non-existence results for global solutions of this problem with initial conditions that slowly decay to zero are established. Bibliography: 22 titles.
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Citations and references
Cited by 30 references