Lascar, Bernard Problèmes de Cauchy hyperboliques en dimension infinie. (French) Zbl 0413.35047 Semin. Paul Kree, Equations aux derivees partielles en dimension infinie 4e annee: 1977-1978, Expose No. 6, 29 p. (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 35L30 Initial value problems for higher-order hyperbolic equations 35B45 A priori estimates in context of PDEs 35R15 PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) 47F05 General theory of partial differential operators 47Gxx Integral, integro-differential, and pseudodifferential operators Keywords:Cauchy problem; strictly hyperbolic differential operators; infinite- dimensional Hilbert space; Carleman estimate; a priori estimate; existence and uniqueness theorems; parametrix; Fourier integral operators PDFBibTeX XML Full Text: Numdam EuDML