Title of article
Asymptotic behavior of global solutions of a semilinear parabolic problem Review Article
Author/Authors
Oscar A. Barraza، نويسنده , , Laura B. Langoni، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
10
From page
1465
To page
1474
Abstract
We study the asymptotic behavior of nonnegative solutions of the semilinear parabolic problem
View the MathML source{ut=Δu+up,x∈RN,t>0u(0)=u0,x∈RN,t=0.
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It is known that the nonnegative solution u(t)u(t) of this problem blows up in finite time for 11+2/Np>1+2/N and the norm of u0u0 is small enough, the problem admits a global solution. In this work, we use the entropy method to obtain the decay rate of the global solution u(t)u(t)
Keywords
Entropy functional , Asymptotic behavior , Entropy method , Entropy production functional , semilinear heat equation
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2009
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
860848
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