Restriction estimates in a conical singular space: wave equation
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Publication:2135774
DOI10.1007/s00041-022-09941-7zbMath1487.58028arXiv2007.05161OpenAlexW3042097167MaRDI QIDQ2135774
Xiaofen Gao, Ji Qiang Zheng, Jun Yong Zhang
Publication date: 9 May 2022
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.05161
wave equationinverse-square potentialKeel-Smith-Sogge estimateadjoint restriction estimatesconical singular space
Related Items
Restriction estimates in a conical singular space: Schrödinger equation, Heat kernel estimate in a conical singular space
Cites Work
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- Restriction and spectral multiplier theorems on asymptotically conic manifolds
- Global parametrices and dispersive estimates for variable coefficient wave equations
- \(L_p\)-estimates of the wave equation on varieties with a conic singularity
- The Riesz transform for homogeneous Schrödinger operators on metric cones
- On radial weights for the spherical summation operator
- Asymptotic expansion in time of the Schrödinger group on conical manifolds
- The disc multiplier
- The Riesz transformation on conical varieties
- Radial weights and mixed norm inequalities for the disc multiplier
- Negative results for Nikodym maximal functions and related oscillatory integrals in curved space
- Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential
- Estimations of the heat kernel on conic manifolds and applications
- Restriction estimates using polynomial partitioning. II
- Heat kernel asymptotics on manifolds with conic singularities
- Almost global existence for some semilinear wave equations
- A sharp bilinear cone restriction estimate
- \(L^p\) estimates for the wave equation with the inverse-square potential
- Time decay for solutions of Schrödinger equations with rough and time-dependent potentials
- On the restriction conjecture
- Strichartz estimates and wave equation in a conic singular space
- Radial multipliers and restriction to surfaces of the Fourier transform in mixed-norm spaces
- Linear adjoint restriction estimates for paraboloid
- Global-in-time Strichartz estimates on nontrapping, asymptotically conic manifolds
- A restriction estimate using polynomial partitioning
- A note on the cone restriction conjecture
- On the diffraction of waves by conical singularities. I
- STRICHARTZ ESTIMATES FOR A SCHRÖDINGER OPERATOR WITH NONSMOOTH COEFFICIENTS
- On the diffraction of waves by conical singularities. II
- Classical Fourier Analysis
- A note on the cone restriction conjecture in the cylindrically symmetric case
- On the Restriction of the Fourier Transform to a Conical Surface
- Fourier Restriction, Decoupling, and Applications
- Strichartz Estimates for the Wave Equation on Flat Cones
- Linear Restriction Estimates for Schrödinger Equation on Metric Cones
- On the boundedness in H 1/4 of the maximal square function associated with the Schrödinger equation
- Sharp Strichartz estimates on nontrapping asymptotically conic manifolds
- Regularity properties of wave propagation on conic manifolds and applications to spectral multipliers
- The fundamental solution and Strichartz estimates for the Schrödinger equation on flat Euclidean cones