On solutions of some doubly nonlinear degenerate parabolic equations with absorption

On solutions of some doubly nonlinear degenerate parabolic equations with absorption
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DOI:
10.1016/0022-247x(88)90053-4
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发表时间:
1988-05
影响因子:
1.3
通讯作者:
M. Tsutsumi
M. Tsutsumi
中科院分区:
数学3区
文献类型:
--
作者:
M. Tsutsumi

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方程(U β) t−∑i= 1 N∂∂xi∂U∂xi p−2∂U∂xi + λ U γ= 0,具有零dirichlet边界条件和非负初始条件的初始边值问题的解的存在性,唯一性,正则性和行为在R N的有界域中研究,其中β, γ, λ大于或等于0和p> 1。
The existence, uniqueness, regularity, and behavior of solutions to the initial-boundary value problem for the equation (U β) t−∑ i= 1 N∂∂ x i∂ u∂ x i p− 2∂ u∂ x i+ λu γ= 0, with zero-Dirichlet boundary condition and with nonnegative initial condition are studied in a bounded domain in R N, where β, γ, λ⩾ 0 and p> 1.