TY - JOUR
T1 - On some nonlinear problem for the thermoplate equations
AU - Inna, Suma
AU - Saito, Hirokazu
AU - Shibata, Yoshihiro
N1 - Funding Information:
Acknowledgments. The first autor, Suma’inna, would like to thank MORA scholarship for finantial support. The second author, H. Saito, is partially supported by JSPS Grant-in-aid for Young Scientists (B) #17K14224. The third author, Y. Shibata, is partially supported by JSPS Grant-in-aid for scientific Research (A) 17H0109 and the top global university project.
Publisher Copyright:
© 2000 Mathematics Subject Classification.
PY - 2019/12
Y1 - 2019/12
N2 - In this paper, we prove the local and global well-posedness of some nonlinear thermoelastic plate equations with Dirichlet boundary conditions. The main tool for proving the local well-posedness is the maximal Lp-Lq regularity theorem for the linearized equations, and the main tool for proving the global well-posedness is the exponential stability of C0 analytic semigroup associated with linear thermoelastic plate equations with Dirichlet boundary conditions.
AB - In this paper, we prove the local and global well-posedness of some nonlinear thermoelastic plate equations with Dirichlet boundary conditions. The main tool for proving the local well-posedness is the maximal Lp-Lq regularity theorem for the linearized equations, and the main tool for proving the global well-posedness is the exponential stability of C0 analytic semigroup associated with linear thermoelastic plate equations with Dirichlet boundary conditions.
KW - Analytic semigroup
KW - Exponential stability
KW - Maximal L-L regularity
KW - R-boundedness
KW - Thermoplate equations
UR - http://www.scopus.com/inward/record.url?scp=85070767133&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85070767133&partnerID=8YFLogxK
U2 - 10.3934/eect.2019037
DO - 10.3934/eect.2019037
M3 - Article
AN - SCOPUS:85070767133
SN - 2163-2472
VL - 8
SP - 755
EP - 784
JO - Evolution Equations and Control Theory
JF - Evolution Equations and Control Theory
IS - 4
ER -