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The Nonexistence of the Solutions for the Non-Newtonian Filtration Equation with Absorption
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作者 ou qitong 《Journal of Partial Differential Equations》 CSCD 2021年第4期369-378,共10页
The paper proves the nonexistence of the solution for the following Cauchy problem{ut=div(|■u^m|(p-2■u^(m)))^-λu^(q),u(x,0)=δ(x),(x,t)∈S_(T)=R^(N)×(0,T),x∈R^(N),under some conditions on m,p,q,λ,whereδis D... The paper proves the nonexistence of the solution for the following Cauchy problem{ut=div(|■u^m|(p-2■u^(m)))^-λu^(q),u(x,0)=δ(x),(x,t)∈S_(T)=R^(N)×(0,T),x∈R^(N),under some conditions on m,p,q,λ,whereδis Dirac function. 展开更多
关键词 Non-Newtonian filtration equation Cauchy problem NONEXISTENCE
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