The Lifespan of Smooth Solutions to Semilinear Wave Equations in Schwarzschild Space-Time
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Publication:6141808
DOI10.4208/jpde.v36.n4.6MaRDI QIDQ6141808
Publication date: 23 January 2024
Published in: Journal of Partial Differential Equations (Search for Journal in Brave)
Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)
Cites Work
- Blow-up for the semilinear wave equation in the Schwarzschild metric.
- Blow-up of solutions to semilinear wave equations with variable coefficients and boundary
- The Glassey conjecture with radially symmetric data
- Sharpness on the lower bound of the lifespan of solutions to nonlinear wave equations
- Blow-up of solutions to nonlinear wave equations in two space dimensions
- Stabilizing effect of the power law inflation on isentropic relativistic fluids
- Boundedness of the total energy of relativistic membranes evolving in a curved spacetime
- Lifespan estimate for semilinear wave equation in Schwarzschild spacetime
- Classical solutions to relativistic Burgers equations in FLRW space-times
- Global existence of smooth solutions to exponential wave maps in FLRW spacetimes
- Finite-Time Blow-Up for in Two Space Dimensions
- Blow-up for quasi-linear wave equations in three space dimensions
- Classical solution to relativistic Burger’s equation in SdS and SAdS space-times
- Stability of traveling wave for the relativistic string equation in de Sitter spacetime
- Global existence of smooth solution to 2D relativistic membrane equation in asymptotically flat FLRW space‐time
- Lifespan of smooth solutions for timelike extremal surface equation in de Sitter spacetime
- Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
- Blow up of solutions to the Cauchy problem for nonlinear wave equations
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