Electron. J. Diff. Equ.,
Vol. 2015 (2015), No. 173, pp. 1-16.
Compactness of the difference between the porous thermoelastic
semigroup and its decoupled semigroup
El Mustapha Ait Benhassi, Jamal Eddine Benyaich,
Hammadi Bouslous, Lahcen Maniar
Abstract:
Under suitable assumptions, we prove the compactness of
the difference between the porous thermoelastic semigroup and its
decoupled one. This will be achieved by proving the norm continuity of
this difference and the compactness of the difference between the resolvents
of their generators. Applications to porous thermoelastic systems are given.
Submitted October 14, 2014. Published June 22, 2015.
Math Subject Classifications: 34G10, 47D06.
Key Words: Porous thermoelastic system; semigroup; compactness;
norm continuity; fractional powers; essential spectrum.
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El Mustapha Ait Benhassi
Université Cadi Ayyad
Faculté des Sciences Semlalia
LMDP, UMMISCO (IRD- UPMC)
Marrakech 40000, B.P. 2390, Maroc
email: m.benhassi@uca.ma
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Jamal Eddine Benyaich
Université Cadi Ayyad
Faculté des Sciences Semlalia
LMDP, UMMISCO (IRD- UPMC)
Marrakech 40000, B.P. 2390, Maroc
email: jbenyaich@gmail.com
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Hammadi Bouslous
Université Cadi Ayyad
Faculté des Sciences Semlalia
LMDP, UMMISCO (IRD- UPMC)
Marrakech 40000, B.P. 2390, Maroc
email: bouslous@uca.ma
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Lahcen Maniar
Université Cadi Ayyad
Faculté des Sciences Semlalia
LMDP, UMMISCO (IRD- UPMC)
Marrakech 40000, B.P. 2390, Maroc
email: maniar@uca.ma
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