Estimations 𝐿^{𝑝} des solutions de l’équation des ondes sur certaines variétés coniques

DOI10.1090/S0002-9947-02-03130-6zbMath1081.35012MaRDI QIDQ4779890

Noël Lohoué, Hong-Quan Li

Publication date: 28 October 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

wave operatorconical manifolds

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 (5)

Estimations $L^p$ des fonctions du Laplacien sur les variétés cuspidales ⋮ Wave operator on compact manifolds ⋮ Uniform resolvent estimates for Laplace-Beltrami operator on the flat Euclidean cone ⋮ \(L_p\)-estimates of the wave equation on varieties with a conic singularity ⋮ Maximal estimates for an oscillatory operator

Cites Work

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• \(L^p\) estimates for the waves equation
• On the wave equation on a compact Riemannian manifold without conjugate points
• L'intégrale de Riemann-Liouville et le problème de Cauchy
• Interpolation of Linear Operators
• On the diffraction of waves by conical singularities. II
• 𝐿^{𝑝} boundedness of Fourier integral operators
• Convolutions with Kernels Having Singularities on a Sphere

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