Fundamental solutions of the wave equation in Robertson-Walker spaces
From MaRDI portal
Publication:936609
DOI10.1016/j.jmaa.2008.05.075zbMath1149.35302OpenAlexW1965776511MaRDI QIDQ936609
Anahit Galstian, Karen Yagdjian
Publication date: 19 August 2008
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.05.075
Fundamental solutions to PDEs (35A08) Wave equation (35L05) Initial value problems for second-order hyperbolic equations (35L15)
Related Items
On a semilinear wave equation in anti-de Sitter spacetime: The critical case ⋮ Explicit formulas and decay rates for the solution of the wave equation in cosmological spacetimes ⋮ Global existence of smooth solutions to exponential wave maps in FLRW spacetimes ⋮ Lifespan of smooth solutions for timelike extremal surface equation in de Sitter spacetime ⋮ A note on blow-up results for semilinear wave equations in de Sitter and anti-de Sitter spacetimes ⋮ Lifespan estimates for local solutions to the semilinear wave equation in Einstein–de Sitter spacetime ⋮ Decay of solutions of the wave equation in cosmological spacetimes—a numerical analysis ⋮ Representation of solutions of second order one-dimensional model hyperbolic equations ⋮ A note on the nonexistence of global solutions to the semilinear wave equation with nonlinearity of derivative-type in the generalized Einstein-de Sitter spacetime ⋮ Decay of solutions of the wave equation in expanding cosmological spacetimes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Blow-up for the semilinear wave equation in the Schwarzschild metric.
- Power-law inflation in spacetimes without symmetry
- Decay and non-decay of the local energy for the wave equation on the De Sitter-Schwarzschild metric
- Einstein's field equations and their physical implications. Selected essays in honour of Jürgen Ehlers
- A note on the fundamental solution for the Tricomi-type equation in the hyperbolic domain
- Self-similar solutions of semilinear wave equation with variable speed of propagation
- Fundamental solutions of the Tricomi operator. III
- A new physical-space approach to decay for the wave equation with applications to black hole spacetimes
- NECESSARY CONDITIONS FOR THE CAUCHY PROBLEM FOR NON-STRICTLY HYPERBOLIC EQUATIONS TO BE WELL-POSED
- L p − L q Decay Estimates for the Wave Equations with Exponentially Growing Speed of Propagation
- Global Existence for then-Dimensional Semilinear Tricomi-Type Equations
- The Large Scale Structure of Space-Time
- Bessel integrals and fundamental solutions for a generalized Tricomi operator
