Régularité lipschitzienne et solutions de l'équation des ondes sur une variété riemannienne compacte

DOI10.24033/asens.1318zbMath0359.35042OpenAlexW2598988495MaRDI QIDQ4132912

Yves Colin de Verdière, Marc Frisch

Publication date: 1976

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1976_4_9_4_539_0

Mathematics Subject Classification ID

Wave equation (35L05) Pseudodifferential and Fourier integral operators on manifolds (58J40) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Pseudodifferential operators and other generalizations of partial differential operators (35S99)

Related Items (1)

Sharp estimates for a class of hyperbolic pseudo-differential equations

Cites Work

• The spectrum of positive elliptic operators and periodic bicharacteristics
• Propriétés asymptotiques des vibrations des sphères
• Integrals of rapidly oscillating functions and singularities of projections of Lagrangian manifolds
• Propriétés asymptotiques des vibrations du tore
• Théorie \(L^p\) des sommes trigonométriques apériodiques
• The spectral function of an elliptic operator
• Boundedness of translation invariant operators on Hölder spaces and \(L^ p\)-spaces
• Fourier integral operators. I
• Fourier integral operators. II
• On the existence of certain singular integrals
• Oscillatory integrals, lagrange immersions and unfolding of singularities
• The Conjugate Locus of a Riemannian Manifold
• Remarks on a paper of D. Ludwig
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