\(L_p\)-estimates of the wave equation on varieties with a conic singularity

DOI10.1007/s00209-011-0949-9zbMath1254.58011OpenAlexW2019736584MaRDI QIDQ455618

Hong-Quan Li

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

Mathematics Subject Classification ID

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

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