Optimized uniform decay estimate of the solution to Petrovsky equation with memory

DOI10.1007/s00245-020-09659-2zbMath1470.35063OpenAlexW3003564281MaRDI QIDQ2045135

Wenmin Zhu, Fu Shan Li

Publication date: 11 August 2021

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-020-09659-2

zbMATH Keywords

iterative methodoptimized uniform decay estimatePetrovsky equation with memory

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Integro-partial differential equations (35R09)

Related Items (2)

Uniform energy decay rates for the fuzzy viscoelastic model with a nonlinear source ⋮ Generalized conditions and improved method on asymptotic stability for a wave equation with variable density

Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotic behavior for a coupled Petrovsky and wave system with localized damping
• Existence and sharp decay rate estimates for a von Karman system with long memory
• Moore-Gibson-Thompson equation with memory. II: General decay of energy.
• Uniform energy decay rates for nonlinear viscoelastic wave equation with nonlocal boundary damping
• General decay to a von Kármán system with memory
• Blow-up of solution for a nonlinear Petrovsky type equation with memory
• New prospects in direct, inverse and control problems for evolution equations. Selected papers based on the presentations at the international conference ``Differential equations, inverse problems and control theory, Cortona, Italy, June 16--21, 2013
• Limit behavior of the solution to nonlinear viscoelastic Marguerre-von Kármán shallow shell system
• Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
• General decay to the full von Kármán system with memory
• General decay for a von Karman equation of memory type with acoustic boundary conditions
• Global existence and uniqueness of weak solution to nonlinear viscoelastic full marguerre-von kármán shallow shell equations
• A general method for proving sharp energy decay rates for memory-dissipative evolution equations
• Global existence and blow-up phenomena for divergence form parabolic equation with time-dependent coefficient in multidimensional space
• Uniform stability of the solution for a memory-type elasticity system with nonhomogeneous boundary control condition
• Uniform attractors for a non-autonomous viscoelastic equation with a past history
• Decay estimates for second order evolution equations with memory
• General decay of solutions of a viscoelastic equation
• Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms
• Uniform decay rates for nonlinear viscoelastic Marguerre-von Kármán equations
• Long-time behavior of second order evolution equations with nonlinear damping
• Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
• GENERAL ENERGY DECAY FOR A DEGENERATE VISCOELASTIC PETROVSKY-TYPE PLATE EQUATION WITH BOUNDARY FEEDBACK

This page was built for publication: Optimized uniform decay estimate of the solution to Petrovsky equation with memory