Geodesic
Exponential decay of a solution for some parabolic equation involving a time nonlocal term
Mathematica Bohemica, Tome 140 (2015) no. 2, pp. 129-137

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MR Zbl
We consider the large time behavior of a solution of a parabolic type equation involving a nonlocal term depending on the unknown function. This equation is proposed as a mathematical model of carbon dioxide transport in concrete carbonation process, and we proved the existence, uniqueness and large time behavior of a solution of this model. In this paper, we derive the exponential decay estimate of the solution of this model under restricted boundary data and initial data.
We consider the large time behavior of a solution of a parabolic type equation involving a nonlocal term depending on the unknown function. This equation is proposed as a mathematical model of carbon dioxide transport in concrete carbonation process, and we proved the existence, uniqueness and large time behavior of a solution of this model. In this paper, we derive the exponential decay estimate of the solution of this model under restricted boundary data and initial data.
DOI : 10.21136/MB.2015.144321
Classification : 35B40, 35K20, 35K55
Keywords: large time behavior; exponential decay; nonlinear parabolic equation 
Kumazaki, Kota. Exponential decay of a solution for some parabolic equation involving a time nonlocal term. Mathematica Bohemica, Tome 140 (2015) no. 2, pp. 129-137. doi: 10.21136/MB.2015.144321
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