Blow-up for a coupled system of semilinear wave equations with scattering dampings and combined nonlinearities
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Publication:5085542
DOI10.1080/00036811.2020.1834086zbMath1492.35058OpenAlexW3093787056MaRDI QIDQ5085542
Shaoyong Lai, Sen Ming, Xiongmei Fan
Publication date: 27 June 2022
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2020.1834086
Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71) Initial value problems for second-order hyperbolic systems (35L52)
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Cites Work
- Unnamed Item
- The blow-up and lifespan of solutions to systems of semilinear wave equation with critical exponents in high dimensions.
- 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
- Wave equations with time-dependent dissipation. I: Non-effective dissipation
- Wave equations with time-dependent dissipation. II: Effective dissipation
- 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
- The lifespan of radially symmetric solutions to nonlinear systems of odd dimensional wave equations
- Blow-up for semilinear wave equations with the scale invariant damping and super-Fujita exponent
- A weighted pointwise estimate for two dimensional wave equations and its application to nonlinear systems
- Fujita modified exponent for scale invariant damped semilinear wave equations
- Strauss exponent for semilinear wave equations with scattering space dependent damping
- 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
- Sharp upper bound for lifespan of solutions to some critical semilinear parabolic, dispersive and hyperbolic equations via a test function method
- 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
- Critical exponent for semi‐linear structurally damped wave equation of derivative type
- Life-Span of Solutions to Critical Semilinear Wave Equations