Results 31 to 40 of about 269 (138)
Energy Decay of the Schrödinger Equation Under Internal Fractional Integral Damping
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this article, we investigate the stabilization and energy decay properties of a Schrödinger equation with an internal fractional integral damping term. By introducing an appropriate diffusive representation, the original problem is reformulated as an augmented system without memory.
Kheira Mekhalfi +6 more
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Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions
Boundary Value Problems, 2011 This paper is concerned with investigating the spatial behavior of solutions for a class of hyperbolic equations in semi-infinite cylindrical domains, where nonlinear dissipative boundary conditions imposed on the lateral surface of the cylinder.
Tahamtani Faramarz, Peyravi Amir
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Advances in Nonlinear Analysis, 2021 In this paper, we establish the second boundary behavior of the unique strictly convex solution to a singular Dirichlet problem for the Monge-Ampère ...
Wan Haitao, Shi Yongxiu, Liu Wei
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In this article, we analyze the effect of geometric nonlinearity on stability results for extensible nonsymmetric two beams in a bounded domain. Two internal frictional dampings are present together with two fractional time delays. The equations describe a system consisting of two elastically coupled extensible beams, to which uniform damping terms and
Moncef Aouadi +4 more
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Existence of global solutions to a quasilinear wave equation with general nonlinear damping
Electronic Journal of Differential Equations, 2002 In this paper we prove the existence of a global solution and study its decay for the solutions to a quasilinear wave equation with a general nonlinear dissipative term by constructing a stable set in $H^{2}cap H_{0}^{1}$.
Mohammed Aassila, Abbes Benaissa
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Pullback attractors for fractional lattice systems with delays in weighted space
Open MathematicsThis article deals with the asymptotic behavior of fractional lattice systems with time-varying delays in weighted space. First, we establish some sufficient conditions for the existence and uniqueness of solutions.
Li Xintao, Wang Shengwen
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Advances in Nonlinear Analysis, 2022 This article deals with the degenerate fractional Kirchhoff wave equation with structural damping or strong damping. The well-posedness and the existence of global attractor in the natural energy space by virtue of the Faedo-Galerkin method and energy ...
Yang Wenhua, Zhou Jun
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Spatial Decay Estimates for a Class of Thermoelastic Plates
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.This study investigates the spatial characteristics of solutions for a class of thermoelastic plates governed by biharmonic operators within a semi‐infinite strip in two‐dimensional Euclidean space R2. The research begins with the derivation of an energy functional.
Jincheng Shi +2 more
wiley +1 more source
Global attractor of the extended Fisher-Kolmogorov equation in
Boundary Value Problems, 2011 The long-time behavior of solution to extended Fisher-Kolmogorov equation is considered in this article. Using an iteration procedure, regularity estimates for the linear semigroups and a classical existence theorem of global attractor, we prove that the
Luo Hong
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Advances in Nonlinear AnalysisIn this article, we consider the global and local well-posedness of the mild solutions to the Cauchy problem of fractional drift diffusion system with higher-order nonlinearity. The main difficulty comes from the higher-order nonlinearity. Instead of the
Gu Caihong, Tang Yanbin
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