Parabolic approximation of damped wave equations via fractional powers: Fast growing nonlinearities and continuity of the dynamics

Flank D. M. Bezerra, Alexandre N. Carvalho, Jan W. Cholewa, Marcelo J. D. Nascimento

Type: Article

Publication Date: 2017-01-16

Citations: 24

DOI: https://doi.org/10.1016/j.jmaa.2017.01.024

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Journal of Mathematical Analysis and Applications - View
LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) - View - PDF

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+	Fractional powers approach of operators for abstract evolution equations of third order in time	2020	Flank D. M. Bezerra Lucas A. Santos
+ PDF Chat	Spectral analysis and exponential stability of a generalized fractional Moore-Gibson-Thompson equation	2024	Flank D. M. Bezerra Lucas Eloy Veras Santos María José Silva Carlos R. Takaessu
+	Uniform stability of semilinear wave equations with arbitrary local memory effects versus frictional dampings	2018	Kun‐Peng Jin Jin Liang Ti‐Jun Xiao
+	A Higher-Order Non-autonomous Semilinear Parabolic Equation	2024	Maykel Belluzi Flank D. M. Bezerra Marcelo J. D. Nascimento Lucas A. Santos

Works Cited by This (15)

Action	Title	Year	Authors
+	Semigroups of Linear Operators and Applications to Partial Differential Equations	1983	A. Pazy
+ PDF Chat	Geometric Theory of Semilinear Parabolic Equations	1981	Daniel Henry
+	Regularity of the solutions of second order evolution equations and their attractors	1987	Jean‐Michel Ghidaglia Roger Témam
+	Attractors for Parabolic Problems with Nonlinear Boundary Conditions	1997	Alexandre N. Carvalho Sergio Oliva Antônio Luíz Pereira Anı́bal Rodrı́guez-Bernal
+	Long-term dynamics of semilinear wave equation with nonlinear localized interior damping and a source term of critical exponent	2008	Igor Čhuešhov Irena Lasiecka Daniel Toundykov
+ PDF Chat	A remark on the damped wave equation	2006	Vittorino Pata Sergey Zelik
+	Attractors of Evolution Equations	1992	Anatoli Babin M. I. Vishik
+ PDF Chat	Proof of extensions of two conjectures on structural damping for elastic systems	1989	Shu‐Ping Chen Roberto Triggiani
+ PDF Chat	Note on fractional powers of linear operators	1960	Tosio Kato
+	A damped hyerbolic equation with critical exponent	1992	José M. Arrieta Alexandre N. Carvalho Jack K. Hale