Global existence and L p decay estimate of solution for Cahn-Hilliard equation with inertial term

Hongmei Xu; Qi Li

Applications of Mathematics (2021)

  • Volume: 66, Issue: 4, page 583-597
  • ISSN: 0862-7940

Abstract

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The Cauchy problem of the Cahn-Hilliard equation with inertial term in multi space dimension is considered. Based on detailed analysis of Green’s function, using fixed-point theorem, we get the global existence in time of classical solution with large initial data. Furthermore, we get L p decay rate of the solution.

How to cite

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Xu, Hongmei, and Li, Qi. "Global existence and $L_p$ decay estimate of solution for Cahn-Hilliard equation with inertial term." Applications of Mathematics 66.4 (2021): 583-597. <http://eudml.org/doc/297609>.

@article{Xu2021,
abstract = {The Cauchy problem of the Cahn-Hilliard equation with inertial term in multi space dimension is considered. Based on detailed analysis of Green’s function, using fixed-point theorem, we get the global existence in time of classical solution with large initial data. Furthermore, we get $L_p$ decay rate of the solution.},
author = {Xu, Hongmei, Li, Qi},
journal = {Applications of Mathematics},
keywords = {Cahn-Hilliard equation with inertial term; large initial data; classical solution; $L_p$ decay},
language = {eng},
number = {4},
pages = {583-597},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Global existence and $L_p$ decay estimate of solution for Cahn-Hilliard equation with inertial term},
url = {http://eudml.org/doc/297609},
volume = {66},
year = {2021},
}

TY - JOUR
AU - Xu, Hongmei
AU - Li, Qi
TI - Global existence and $L_p$ decay estimate of solution for Cahn-Hilliard equation with inertial term
JO - Applications of Mathematics
PY - 2021
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 66
IS - 4
SP - 583
EP - 597
AB - The Cauchy problem of the Cahn-Hilliard equation with inertial term in multi space dimension is considered. Based on detailed analysis of Green’s function, using fixed-point theorem, we get the global existence in time of classical solution with large initial data. Furthermore, we get $L_p$ decay rate of the solution.
LA - eng
KW - Cahn-Hilliard equation with inertial term; large initial data; classical solution; $L_p$ decay
UR - http://eudml.org/doc/297609
ER -

References

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