<i>L<sup>p</sup></i>(<i>L<sup>q</sup></i>)-Maximal Regularity for Damped Equations in a Cylindrical Domain

<i>L<sup>p</sup></i>(<i>L<sup>q</sup></i>)-Maximal Regularity for Damped Equations in a Cylindrical Domain

We show maximal regularity estimates for the damped hyperbolic and strongly damped wave equations with periodic initial conditions in a cylindrical domain. We prove that this property strongly depends on a critical combination on the parameters of the equation. Noteworthy, our results are still vali...

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Egile Nagusiak: Edgardo Alvarez, Stiven Díaz, Carlos Lizama
Formatua: Artikulua
Hizkuntza:English
Argitaratua: MDPI AG 2024-08-01
Saila:Fractal and Fractional
Gaiak:
Lebesgue maximal regularity
damped hyperbolic equation
strongly damped wave equation
cylindrical domain
fractional Laplacian operator
frictional damping
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