Large-time behavior of solutions to degenerate damped hyperbolic equations

DOI10.1134/S0037446616040078zbMath1364.35045OpenAlexW2514053040MaRDI QIDQ345255

Nguyen Minh Tri, Duong Trong Luyen

Publication date: 1 December 2016

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446616040078

zbMATH Keywords

global solutionglobal attractorLyapunov functional\(l\)-trajectoryfinite dimensionality of attractors

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Degenerate hyperbolic equations (35L80)

Related Items (14)

Multiple solutions to boundary value problems for semilinear strongly degenerate elliptic differential equations ⋮ Global attractor of the Cauchy problem for a semilinear degenerate damped hyperbolic equation involving the Grushin operator ⋮ Two nontrivial solutions of boundary-value problems for semilinear \(\Delta_\gamma\)-differential equations ⋮ Existence of infinitely many solutions for \(\Delta_\gamma\)-Laplace problems ⋮ Multiple solutions to boundary-value problems for fourth-order elliptic equations ⋮ Three nontrivial solutions of boundary value problems for semilinear $\Delta_{\gamma}-$Laplace equation ⋮ On the existence of multiple solutions to boundary value problems for semilinear elliptic degenerate operators ⋮ Nontrivial solutions to boundary value problems for semilinear \(\Delta_\gamma\)-differential equations. ⋮ Unnamed Item ⋮ Picone's identity for \(\Delta_\gamma \)-Laplace operator and its applications ⋮ Sign-changing solutions of boundary value problems for semilinear \(\Delta_{\gamma}\)-Laplace equations ⋮ Infinitely many solutions for a class of perturbed degenerate elliptic equations involving the Grushin operator ⋮ Unnamed Item ⋮ Infinitely many solutions for perturbed \(\Delta_\gamma\)-Laplace equations

Cites Work

• Long time behavior of solutions to semilinear parabolic equations involving strongly degenerate elliptic differential operators
• On semilinear \(\mathbf \Delta_\lambda\)-Laplace equation
• Nontrivial solutions to boundary value problems for semilinear strongly degenerate elliptic differential equations
• Some existence and nonexistence results for boundary value problems for semilinear elliptic degenerate operators
• Semigroups of linear operators and applications to partial differential equations
• Regular attractors of semigroups and evolution equations
• Infinite-dimensional dynamical systems in mechanics and physics
• Finite-dimensional asymptotic behavior of some semilinear damped hyperbolic problems
• On finite fractal dimension of the global attractor for the wave equation with nonlinear damping
• Attractors met \(X\)-elliptic operators
• Existence of solutions to boundary-value problems for semilinear \(\Delta_\gamma\) differential equations
• ON A CLASS OF HYPOELLIPTIC OPERATORS
• Dynamics of evolutionary equations
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