Lifespan estimates of solutions for a coupled system of wave equations with damping terms and negative mass terms \(\ast\)

DOI10.1155/2022/8050610zbMath1505.35060OpenAlexW4304136381MaRDI QIDQ2682504

Yanyan Li

Publication date: 1 February 2023

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/8050610

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonexistence of global solutions of nonlinear wave equations with weak time-dependent damping related to Glassey's conjecture.
• Blow-up for semilinear damped wave equations with subcritical exponent in the scattering case
• Blow up for small-amplitude semilinear wave equations with mixed nonlinearities on asymptotically Euclidean manifolds
• Wave equations with time-dependent dissipation. I: Non-effective dissipation
• On initial-boundary value problems for one-dimension semilinear wave equations with null conditions
• Nonlinear scattering theory at low energy
• Blow-up of solutions of nonlinear wave equations in three space dimensions
• Critical curve for \(p\)-\(q\) systems of nonlinear wave equations in three space dimensions
• Nonexistence of global solutions of wave equations with weak time-dependent damping and combined nonlinearity
• Blow-up of solutions to critical semilinear wave equations with variable coefficients
• An elementary proof of the blow-up for semilinear wave equation in high space dimensions
• A weighted pointwise estimate for two dimensional wave equations and its application to nonlinear systems
• On existence and scattering with minimal regularity for semilinear wave equations
• Small data solutions for the Euler-Poisson-Darboux equation with a power nonlinearity
• Global existence for semilinear wave equations with scaling invariant damping in 3-D
• The lifespan of classical solutions of semilinear wave equations with spatial weights and compactly supported data in one space dimension
• Nonexistence of global solutions for the semilinear Moore - Gibson - Thompson equation in the conservative case
• Critical exponent for the wave equation with a time-dependent scale invariant damping and a cubic convolution
• Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations in the scattering case with mixed nonlinear terms
• Optical solitons and other solutions to Kaup-Newell equation with Jacobi elliptic function expansion method
• Thresholds for low regularity solutions to wave equations with structural damping
• Lifespan estimates for 2-dimensional semilinear wave equations in asymptotically Euclidean exterior domains
• Blow-up for a weakly coupled system of semilinear damped wave equations in the scattering case with power nonlinearities
• Lifespan estimate for semilinear wave equation in Schwarzschild spacetime
• Blow-up phenomena of semilinear wave equations and their weakly coupled systems
• Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations of derivative type in the scattering case
• Wave-like blow-up for semilinear wave equations with scattering damping and negative mass term
• Finite time blow up for critical wave equations in high dimensions
• The lifespan of solutions to nonlinear systems of a high-dimensional wave equation
• On the nonexistence of global solutions for critical semilinear wave equations with damping in the scattering case
• Blow up of solutions to semilinear wave equations with critical exponent in high dimensions
• Lifespan estimates of solutions to quasilinear wave equations with scattering damping
• General decay of a nonlinear viscoelastic wave equation with Balakrishnân-Taylor damping and a delay involving variable exponents
• Solution representations for a wave equation with weak dissipation
• Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation
• Blow‐up for wave equation with the scale‐invariant damping and combined nonlinearities
• Nonexistence result for the generalized Tricomi equation with the scale-invariant damping, mass term and time derivative nonlinearity
• Blow-up for a coupled system of semilinear wave equations with scattering dampings and combined nonlinearities
• The rescaling method for some critical quasilinear wave equations with the divergence form of the nonlinearity

This page was built for publication: Lifespan estimates of solutions for a coupled system of wave equations with damping terms and negative mass terms \(\ast\)