Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Fredy Maglorio Sobrado Suárez and Lesly Daiana Barbosa Sobrado
Pages: [17] - [64]
Received Date: April 16, 2023
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100122278
In this work, we present the study of the regularity of the solutions
of the abstract system (1) that includes the Euler-Bernoulli
and Kirchhoff-Love 
thermoelastic plates, we consider for both
fractional couplings given by 
and 
where 
is a strictly positive and self-adjoint linear
operator and the parameter 
Our research stems from the work of [1], [4],
and [8]. Our contribution was to directly determine the Gevrey sharp
classes: for 
and 
when 
and 
respectively. And 
for case 
when 
This work also contains direct proofs of the
analyticity of the corresponding semigroups 
In the case 
the analyticity of the semigroup 
occurs when 
and for the case the semigroup is analytic for the parameter 
The abstract system is given by:
(1)
where 
asymptotic behaviour, stability, regularity, Gevrey sharp classes, analyticity, Euler-Bernoulli and Kirchhoff-Love plates.
