Local and global smoothing effects for some linear hyperbolic equations with a strong dissipation
DOI10.1090/tran/6520zbMath1342.35184arXiv1402.6595OpenAlexW2161517285MaRDI QIDQ2787965
Marina Ghisi, Massimo Gobbino, Alain Haraux
Publication date: 7 March 2016
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1402.6595
Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order hyperbolic equations (35L20) Initial value problems for second-order hyperbolic equations (35L15) Second-order hyperbolic equations (35L10) Abstract hyperbolic equations (35L90)
Related Items (28)
Cites Work
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- Characterization of domains of fractional powers of certain operators arising in elastic systems, and applications
- Non-resonance for a strongly dissipative wave equation in higher dimensions
- Proof of extensions of two conjectures on structural damping for elastic systems
- Decay estimates for some semilinear damped hyperbolic problems
- Nonlinear evolution equations - global behavior of solutions
- Asymptotic behavior for an almost periodic, strongly dissipative wave equation
- Analyticity and differentiability of semigroups associated with elastic systems with damping and gyroscopic forces
- An optimal estimate for the difference of solutions of two abstract evolution equations.
- Anti-periodic solutions of some nonlinear evolution equations
- Analyticity and regularity for a class of second order evolution equations
- Energy decay estimates for wave equations with a fractional damping.
- Wave equations with strong damping in Hilbert spaces
- Bounded or almost periodic solution of the non linear vibrating membrane equation
- Decay estimates of solutions for the wave equations with strong damping terms in unbounded domains
- Semilinear structural damped waves
- A variational approach to strongly damped wave equations
- A mathematical model for linear elastic systems with structural damping
- Gevrey Class Semigroups Arising from Elastic Systems with Gentle Dissipation: The Case 0 < α < ½
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