The 4 th International Symposium on Electrical and Electronics Engineering ISEEE-2013,, 2013, GALATI, Romania. ⟨10.1109/ISEEE.2013.6674341⟩. ⟨hal-02521204⟩

Article dans une revue

A Resonant-Superlinear Elliptic Problem Revisited

Mabel Cuesta, Colette De Coster

We consider the resonant-superlinear elliptic problem−∆u=λ1u+(u+)q+f(x), withDirichlet boundary conditions on a bounded regular domain ofRN. We assume that 1<q<N+1N−1,f∈Ls(Ω) withs>Nsatisfies∫Ωfφ1<0 and (λ1,φ1) is the first eigenpair of−∆onH10(Ω). We apply a non-well ordered lower and...

Advanced Nonlinear Studies, 2013, 13 (1), pp.97-114. ⟨10.1515/ans-2013-0106⟩. ⟨hal-03137546⟩

Communication dans un congrès

Courbes algébriques-trigonométriques à holographe pythagorien et leur utilisation pour résoudre le problème d'interpolation de Hermite

Laura Saini, Lucia Romani, Gudrun Albrecht

Journées de modélisation géométrique, 2013, Marseille, France. ⟨hal-03187567⟩

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Dispersive waves with multiple tunnel effect on star shaped networks

Felix Ali Mehmeti, Robert Haller-Dintelmann, Virginie Régnier

We consider the Klein-Gordon equation on a star-shaped network composed of n half-axes connected at their origins. We add a potential which is constant but dierent on each branch. The corresponding spatial operator is self-adjoint and we state explicit expressions for its resolvent and its...

Discrete and Continuous Dynamical Systems - Series S, 2013, 6 (3), pp.783-791. ⟨10.3934/dcdss.2013.6.783⟩. ⟨hal-03227666⟩

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Polynomial decay rate for a wave equation with general acoustic boundary feedback laws

Serge Nicaise, Zainab Abbas

We consider the stabilization of the wave equation by a general class of acoustic boundary feedback laws at one extremity. This system is not uniformly stable but we furnish sufficient conditions that guarantee a polynomial stability. Our method combines the use of an observability inequality for...

SeMA Journal: Boletin de la Sociedad Española de Matemática Aplicada, 2013, 61 (1), pp.19-48. ⟨10.1007/s40324-013-0002-5⟩. ⟨hal-03134810⟩

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Lower and upper solutions for the heat equation on a polygonal domain of R2

Colette De Coster, Serge Nicaise

We consider the nonlinear periodic-Dirichlet heat equation on a polygonal domain of the plane in weighted Lp-Sobolev spaces equation presented Here f is Lp(0; T;Lpμ(Ω)-Caratheodory, where L pμ(Ω) = {v ε Lploc(Ω) : rμv ε Lp(Ω)}, with a real parameter μ and r(x) the distance from x to the set of...

Differential and integral equations, 2013, 26 (5/6), pp.603-622. ⟨hal-03137717⟩

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Spectral analysis and exponential or polynomial stability of some indefinite sign damped problems

F. Abdallah, D. Mercier, Serge Nicaise

In this paper, we consider two damped wave problems for which the damping terms are allowed to change their sign. Using a careful spectral analysis, we find critical values of the damping coefficients for which the problem becomes exponentially or polynomially stable up to these critical values.

Evolution Equations and Control Theory, 2013, 2, pp.1-33. ⟨10.3934/eect.2013.2.1⟩. ⟨hal-03134858⟩

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Photocatalytic solution discoloration and self-cleaning by polyester fabric functionalized with ZnO nanorods

Munir Ashraf, Philippe Champagne, Anne Perwuelz, Campagne Christine, Anne Leriche

Polyester fabric was functionalized with ZnO nanorods grown by hydrothermal method. The ZnO seeds were deposited on fabric which provided the sites for growth of nanorods. The functionalized fabric showed self-cleaning by degrading color stains and solution discoloration under the effect of...

Journal of Industrial Textiles, 2013, 44 (6), pp.884-898. ⟨10.1177/1528083713519662⟩. ⟨hal-03121037⟩