Exponential decay of a solution for some parabolic equation involving a time nonlocal term
Mathematica Bohemica (2015)
- Volume: 140, Issue: 2, page 129-137
- ISSN: 0862-7959
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topKumazaki, Kota. "Exponential decay of a solution for some parabolic equation involving a time nonlocal term." Mathematica Bohemica 140.2 (2015): 129-137. <http://eudml.org/doc/271561>.
@article{Kumazaki2015,
abstract = {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.},
author = {Kumazaki, Kota},
journal = {Mathematica Bohemica},
keywords = {large time behavior; exponential decay; nonlinear parabolic equation},
language = {eng},
number = {2},
pages = {129-137},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Exponential decay of a solution for some parabolic equation involving a time nonlocal term},
url = {http://eudml.org/doc/271561},
volume = {140},
year = {2015},
}
TY - JOUR
AU - Kumazaki, Kota
TI - Exponential decay of a solution for some parabolic equation involving a time nonlocal term
JO - Mathematica Bohemica
PY - 2015
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 140
IS - 2
SP - 129
EP - 137
AB - 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.
LA - eng
KW - large time behavior; exponential decay; nonlinear parabolic equation
UR - http://eudml.org/doc/271561
ER -
References
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- Aiki, T., Kumazaki, K., Well-posedness of a mathematical model for moisture transport appearing in concrete carbonation process, Adv. Math. Sci. Appl. 21 (2011), 361-381. (2011) Zbl1282.35186MR2953123
- Barbu, V., Nonlinear Semigroups and Differential Equations in Banach Spaces, Noordhoff International Publishing, Leyden (1976). (1976) Zbl0328.47035MR0390843
- Kenmochi, N., Solvability of nonlinear evolution equations with time-dependent constraints and applications, Bull. Fac. Educ., Chiba Univ., Part 2 30 (1981), 1-87. (1981) Zbl0662.35054
- Kumazaki, K., 10.3934/dcdss.2014.7.113, Discrete Contin. Dyn. Syst., Ser. S 7 (2014), 113-125. (2014) Zbl1272.35122MR3082859DOI10.3934/dcdss.2014.7.113
- Kumazaki, K., 10.1016/j.jde.2014.05.032, J. Differ. Equations 257 (2014), 2136-2158. (2014) Zbl1297.35040MR3227293DOI10.1016/j.jde.2014.05.032
- Ladyzhenskaya, O. A., Solonnikov, V. A., Ural'tseva, N. N., Linear and Quasi-Linear Equations of Parabolic Type, American Mathematical Society Providence, USA (1968). (1968) Zbl0174.15403
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