Wave equation on general noncompact symmetric spaces

Smoothness and regularity of solutions to PDEs (35B65) Wave equation (35L05) A priori estimates in context of PDEs (35B45) Hyperbolic equations on manifolds (58J45) Second-order semilinear hyperbolic equations (35L71)

Cites Work

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Wave and Klein-Gordon equations on hyperbolic spaces
The wave equation on hyperbolic spaces
The analysis of linear partial differential operators. III: Pseudo-differential operators
Nonlinear scattering theory at low energy
Sharp estimates for some functions of the Laplacian on noncompact symmetric spaces
On the wave equation on a compact Riemannian manifold without conjugate points
Blow-up of solutions of nonlinear wave equations in three space dimensions
Fourier integral operators on noncompact symmetric spaces of real rank one
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Heat kernel and Green function estimates on noncompact symmetric spaces
The Strauss conjecture on negatively curved backgrounds
The wave equation on Damek-Ricci spaces
Wave equation on certain noncompact symmetric spaces
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Schrödinger Equations on Damek–Ricci Spaces
L p Multipliers; A New Proof of an Old Theorem
Biow-up of solutions of some nonlinear hyperbolic equations
Endpoint Strichartz estimates
Weak and Yet Weaker Solutions of Semilinear Wave Equations
A semilinear wave equation on hyperbolic spaces.
Weighted Strichartz estimates and global existence for semilinear wave equations
Oscillatory Multipliers Related to the Wave Equation on Noncompact Symmetric Spaces
Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation
Strichartz estimates and Strauss conjecture on non-trapping asymptotically hyperbolic manifolds
Nonlinear waves on 3D hyperbolic space
Wave equation on Riemannian symmetric spaces
\(L^p-L^q\) estimates for functions of the Laplace-Beltrami operator on noncompact symmetric spaces. III
Weighted decay estimates for the wave equation

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