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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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
Mots-clés : large time behavior; exponential decay; nonlinear parabolic equation 
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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. https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2015.144321/

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