Continuous dependence of semilinear Petrovsky equation

DOI10.22436/JNSA.010.05.33zbMath1412.35026OpenAlexW2616825138MaRDI QIDQ4631158

Hüseyin Kocaman, Şevket Gür, Metin Yaman

Publication date: 24 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.05.33

zbMATH Keywords

continuous dependencesemilinear Petrovsky equation

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial-boundary value problems for higher-order hyperbolic equations (35L35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence and blow up of solutions to a Petrovsky equation with memory and nonlinear source term
• Structural stability and decay estimate for marine riser equations
• Continuous dependence for the damped nonlinear hyperbolic equation
• Global existence, uniform decay and blow-up of solutions for a system of Petrovsky equations
• Energy decay and exact controllability for the Petrovsky equation in a bounded domain
• Boundary stabilization of two-dimensional Petrovsky equation: Vibrating plate
• Asymptotic behavior for Petrovsky equation with localized damping
• Global nonexistence for a semilinear Petrovsky equation
• Continuous dependence in hyperbolic problems with Wentzell boundary conditions
• Structural stability for the double diffusive convective Brinkman equations
• Global existence, uniform decay, and exponential growth of solutions for a system of viscoelastic Petrovsky equations

This page was built for publication: Continuous dependence of semilinear Petrovsky equation