\(L_p\)-estimates of the wave equation on varieties with a conic singularity
From MaRDI portal
Publication:455618
DOI10.1007/s00209-011-0949-9zbMath1254.58011OpenAlexW2019736584MaRDI QIDQ455618
Publication date: 22 October 2012
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00209-011-0949-9
A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15) Hyperbolic equations on manifolds (58J45)
Related Items (6)
Restriction estimates in a conical singular space: wave equation ⋮ Restriction estimates in a conical singular space: Schrödinger equation ⋮ Heat kernel estimate in a conical singular space ⋮ Uniform resolvent estimates for Laplace-Beltrami operator on the flat Euclidean cone ⋮ Strichartz estimates and wave equation in a conic singular space ⋮ Global well-posedness for a class of semilinear hyperbolic equations with singular potentials on manifolds with conical singularities
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spectral geometry of singular Riemannian spaces
- Wave equation and multiplier estimates on Damek-Ricci spaces
- \(L^p\)-estimates for the wave equation on the Heisenberg group
- Functional calculus of Lie groups and wave propagation
- \(L^p\) estimates for the waves equation
- Regularity properties of Fourier integral operators
- Oscillating multipliers on Lie groups and Riemannian manifolds
- Hölder continuity of the heat semigroup on conic manifolds
- Fourier integral operators on noncompact symmetric spaces of real rank one
- Estimations of the heat kernel on conic manifolds and applications
- Plancherel-type estimates and sharp spectral multipliers
- Propagation of singularities for the wave equation on conic manifolds
- L'intégrale de Riemann-Liouville et le problème de Cauchy
- On the diffraction of waves by conical singularities. I
- Interpolation of Linear Operators
- Decay for the wave and Schrödinger evolutions on manifolds with conical ends, Part I
- Decay for the wave and Schrödinger evolutions on manifolds with conical ends, Part II
- 𝐿^{𝑝} boundedness of Fourier integral operators
- Estimations 𝐿^{𝑝} des solutions de l’équation des ondes sur certaines variétés coniques
- Convolutions with Kernels Having Singularities on a Sphere
- Regularity properties of wave propagation on conic manifolds and applications to spectral multipliers
This page was built for publication: \(L_p\)-estimates of the wave equation on varieties with a conic singularity
