Decay estimates for second order evolution equations with memory
By Fatiha Alabau-Boussouira, Piermarco Cannarsa, Daniela Sforza. 2008
233 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/d7c7040b1141dfb721eaf88e16083af69659de1f
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Theory and Mathematics
- Xiaojun Wang
- B. Said-Houari
- Irena Lasiecka
- Mokhtar Kirane
- Salim A. Messaoudi
- Aissa Guesmia
- Piermarco Cannarsa
- Serge Nicaise
In Control and Systems Engineering
- B. Said-Houari
- Xiaojun Wang
- Irena Lasiecka
- Salim A. Messaoudi
- Aissa Guesmia
- Mokhtar Kirane
- Piermarco Cannarsa
- Serge Nicaise
In Mathematical Physics
- B. Said-Houari
- Xiaojun Wang
- Salim A. Messaoudi
- Irena Lasiecka
- Aissa Guesmia
- Mokhtar Kirane
- Piermarco Cannarsa
- Serge Nicaise
Citations in the corpus
- Partial Differential Equations/Optimal Control A general method for proving sharp energy decay rates for memory-dissipative evolution equations (2009, background): “Also, for length considerations we have chosen not to illustrate here our results through examples of concrete PDE’s, but the interested reader can consult [6] for such examples.”
- Exponential stability of abstract evolution equations with time delay (2014, result): “[1]) that a) For any u ∈ V there exists a positive constant c(u) such that |DG(u)(v)| ≤ c(u)‖v‖H, ∀v ∈ V,”
- Moore-Gibson-Thompson equation with memory, part II: general decay of energy (2015, unknown): “There is an abundant literature on the topic, see [2, 3, 4, 6, 5, 9, 10, 14, 20, 21, 23, 24], to name a few.”
- Existence and asymptotic stability of a viscoelastic wave equation with a delay (2011, result): “the authors showed an exponential decay result under some geometric restrictions on the subset ω .T he result in [6] has been improved by Berrimi and Messaoudi [4], who showed the same result as in [6], under weaker conditions on both a and g .I n [ 3 ], more general abstract version of Eq. (6) has ”
- General decay of solutions of a nonlinear system of viscoelastic wave equations (2011, background): “In [2], an abstract version of the Eq.”
- Intrinsic Decay Rate Estimates for Semilinear Abstract Second Order Equations with Memory (2014, methodology): “12) It is standard by now ([1] and references therein) to derive from (14.”