A semilinear wave equation on hyperbolic spaces.
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Publication:4340670
DOI10.1080/03605309708821277zbMath0884.58092OpenAlexW1987382043MaRDI QIDQ4340670
Publication date: 16 April 1998
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605309708821277
Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15) Hyperbolic equations on manifolds (58J45)
Related Items (9)
Stabilization of the critical semilinear Klein-Gordon equation in compact space ⋮ Wave and Klein-Gordon equations on certain locally symmetric spaces ⋮ Wave equation on certain noncompact symmetric spaces ⋮ Bounded solutions to an energy subcritical non-linear wave equation on \(\mathbb{R}^3\) ⋮ The wave equation on hyperbolic spaces ⋮ Strichartz estimates and Strauss conjecture on non-trapping asymptotically hyperbolic manifolds ⋮ Stabilization of the critical semilinear wave equation with Dirichlet-Neumann boundary condition on bounded domain ⋮ A semi-linear shifted wave equation on the hyperbolic spaces with application on a quintic wave equation on $\mathbb {R}^2$ ⋮ Unnamed Item
Cites Work
- Finite-time blow-up for solutions of nonlinear wave equations
- Existence in the large for \(cmu=F(u)\) in two space dimensions
- Blow-up of solutions of nonlinear wave equations in three space dimensions
- \(L^ \infty\)-decay estimations of the spherical mean value on symmetric spaces
- Huygens' principle in Riemannian symmetric spaces
- Existence of a global solution to a semi–linear wave equation with slowly decreasing initial data in three space dimensions
- Nonlinear waves in friedman-robertson-walker space-times
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