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Exponential Decay and Regularity for SG-elliptic Operators with Polynomial Coefficients
2007We study the exponential decay and the regularity for solutions of elliptic partial differential equations Pu=f, globally defined in ℝn. In particular, we consider linear operators with polynomial coefficients which are SG-elliptic at infinity. Starting from f in the so-called Gelfand-Shilov spaces, the solutions u∈S of the equation are proved to ...
MARCO CAPPIELLO +2 more
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Exponential and polynomial decay for a quasilinear viscoelastic equation
Nonlinear Analysis: Theory, Methods & Applications, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Messaoudi, Salim A. +1 more
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Polynomial decay rate in extensible Timoshenko–Boltzmann beam
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und MechanikAbstractIn this article we derive the equations that form the nonlinear mathematical model of the Timoshenko–Boltzmann extensible system with memories. The nonlinear governing equations are derived by applying the Hamiltonian principle to full von Kármán equations in the framework of Euler–Bernoulli beam and Boltzmann theories for viscoelastic ...
Shengda Zeng, Moncef Aouadi
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On the Polynomial Decay of the Wave Equation with Wentzell Conditions
2020We consider the wave equation on the unit square of the plane with feedback, satisfying the classical geometric control condition. It is well known that the resolvent operator associated with this equation must be unbounded on the imaginary axis which implies that there is no exponential stability in the energy space.
Karima Laoubi, Djamila Seba
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Vector subdivision schemes with polynomially decaying masks
SCIENTIA SINICA Mathematica, 2012We investigate the solutions of vector refinement equations with polynomially decaying masks, which play an important role for characterizations of Riesz wavelet bases and biorthogonal wavelets. A vector refinement equation is of the form: where φ = ( φ 1, . . .
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On the global polynomial stabilization and observation with optimal decay rate
Chaos, Solitons and Fractals, 2021Mohamed Boutayeb, Chaker Jammazi
exaly
The optimal polynomial decay in the extensible Timoshenko system
Mathematische NachrichtenAbstractIn this paper, we derive the equations that constitute the nonlinear mathematical model of an extensible thermoelastic Timoshenko system. The nonlinear governing equations are derived by applying the Hamilton principle to full von Kármán equations.
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Optimal polynomial decay for a Timoshenko system with a strong damping and a strong delay
Mathematical Methods in the Applied Sciences, 2021Hocine Makheloufi, Baowei Feng
exaly
Feedback stabilisation and polynomial decay estimate for time delay bilinear systems
International Journal of Control, 2021exaly