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
Jamal Eddine Benyaich
Université Cadi Ayyad
Faculté des Sciences Semlalia
LMDP, UMMISCO (IRD- UPMC)
Marrakech 40000, B.P. 2390, Maroc
email: jbenyaich@gmail.com
Hammadi Bouslous
Université Cadi Ayyad
Faculté des Sciences Semlalia
LMDP, UMMISCO (IRD- UPMC)
Marrakech 40000, B.P. 2390, Maroc
email: bouslous@uca.ma
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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