Continuous dependence of solutions to the strongly damped nonlinear Klein{Gordon equation

DOI10.3906/MAT-1706-30zbMath1424.35261OpenAlexW2800537336MaRDI QIDQ4634207

Mesude Elif Uysal, Şevket Gür

Publication date: 7 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1706-30

zbMATH Keywords

structural stabilitynonlinear Klein-Gordon equationcontinuous dependence

Mathematics Subject Classification ID

Continuation and prolongation of solutions to PDEs (35B60) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order semilinear hyperbolic equations (35L76)

Related Items (4)

Unnamed Item ⋮ The reducing rank method to solve third‐order Duffing equation with the homotopy perturbation ⋮ Continuous dependence and general decay of solutions for a wave equation with a nonlinear memory term. ⋮ Continuous dependence of solutions to double dispersive equation with dissipative term

Cites Work

• Structural stability and decay estimate for marine riser equations
• Convergence properties of the strongly damped nonlinear Klein-Gordon equation
• Global existence and uniform decay of a damped Klein-Gordon equation in a noncylindrical domain
• The global Cauchy problem for the nonlinear Klein-Gordon equation. II
• Uniform estimates for solutions of nonlinear Klein-Gordon equations
• Nonlinear scattering theory at low energy
• \(L^p\)-Abschätzungen und klassische Lösungen für nichtlineare Wellengleichungen. I
• Global solutions and finite time blow up for damped Klein-Gordon equation
• Continuous Dependence of Solutions to Fourth-Order Nonlinear Wave Equation
• On the existence of global solutions for a nonlinear Klein-Gordon equation
• Global existence, blow up and asymptotic behaviour of solutions for nonlinear Klein-Gordon equation with dissipative term
• Global existence of small amplitude solutions to nonlinear klein-gordon equations in four space-time dimensions
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