Existence and blow up time estimate for a nonlinear Cauchy problem with variable exponents: theory and numerics

DOI10.1080/00207160.2023.2176196zbMath1524.35013MaRDI QIDQ6106740

Jamilu Hashim Hassan, Jamal H. Al-Smail, Mohammad M. Kafini, Adel M. Al-Mahdi

Publication date: 3 July 2023

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

zbMATH Keywords

local existenceblow-upfinite timevariable exponentsnumerical computations

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) A priori estimates in context of PDEs (35B45) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order hyperbolic equations (35L15)

Cites Work

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• Decay rate of solutions for a Cauchy viscoelastic evolution equation
• The Cauchy problem in one-dimensional nonlinear viscoelasticity
• Existence and blow up time estimate for a negative initial energy solution of a nonlinear Cauchy problem
• General energy decay rates for a weakly damped wave equation
• New diffusion models in image processing
• Local existence and exponential growth for a semilinear damped wave equation with dynamic boundary conditions
• Global existence of solutions for quasi-linear wave equations with viscous damping.
• On wave equation: review and recent results
• Stable and unstable sets for the Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms
• Decay of solutions of the wave equation with a local nonlinear dissipation
• Exponential decay of solutions of a nonlinearly damped wave equation
• The wave equation for the \(p\)-Laplacian
• Study of the solutions to a model porous medium equation with variable exponent of nonlinearity
• Global existence and new decay results of a viscoelastic wave equation with variable exponent and logarithmic nonlinearities
• Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms
• Local existence and blow up of solutions for a logarithmic nonlinear viscoelastic wave equation with delay
• A blow-up result for a nonlinear wave equation with variable-exponent nonlinearities
• Variable Exponent, Linear Growth Functionals in Image Restoration

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