The wave equation for a hypoelliptic operator with symplectic characteristics of codimension two

DOI10.1007/BF02790194zbMath0599.35139MaRDI QIDQ1080088

Richard B. Melrose

Publication date: 1985

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

eigenvaluespseudodifferential operatorhypoellipticity

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Pseudodifferential operators as generalizations of partial differential operators (35S05) Estimates of eigenvalues in context of PDEs (35P15) Pseudodifferential and Fourier integral operators on manifolds (58J40)

Related Items (14)

Quantum ergodicity and quantum limits for sub-Riemannian Laplacians ⋮ Hyperbolicity, irrationality exponents and the eta invariant ⋮ Propagation of singularities for subelliptic wave equations ⋮ Propagation of well-prepared states along Martinet singular geodesics ⋮ Spectral asymptotics for sub-Riemannian Laplacians. I: Quantum ergodicity and quantum limits in the 3-dimensional contact case ⋮ Composition of some singular Fourier integral operators and estimates for restricted X-ray transforms ⋮ A proof of a trace formula by Richard Melrose ⋮ Spectral theory of a class of nilmanifolds attached to Clifford modules ⋮ Parametrices for symmetric systems with multiplicity ⋮ Embeddability for Three-Dimensional CR-Manifolds ⋮ Composition of some singular Fourier integral operators and estimates for restricted X-ray transforms. II ⋮ Composition of Fourier Integral Operators with Fold and Blowdown Singularities ⋮ Small-time asymptotics of hypoelliptic heat kernels near the diagonal, nilpotentization and related results ⋮ Time optimal observability for Grushin Schrödinger equation

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• Propagation des Singularites Pour des Equations Hyperboliques a Caracteristique de Multiplicite au Plus Double et Singularites Masloviennes
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