Dencker, Nils On the propagation of singularities for pseudo-differential operators of principal type. (English) Zbl 0503.58031 Ark. Mat. 20, 23-60 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 6 Documents MSC: 58J47 Propagation of singularities; initial value problems on manifolds 35S05 Pseudodifferential operators as generalizations of partial differential operators Keywords:properly supported pseudo-differential operator; null bicharacteristic; one dimensional bicharacteristic Citations:Zbl 0396.35087 PDFBibTeX XMLCite \textit{N. Dencker}, Ark. Mat. 20, 23--60 (1982; Zbl 0503.58031) Full Text: DOI References: [1] Beals, R.; Fefferman, C., On local solvability of linear partial differential equations, Ann. of Math., 97, 482-498 (1973) · Zbl 0256.35002 [2] Beals, R.; Fefferman, C., Spatially inhomogeneous pseudodifferential operators I, Comm. Pure Appl. Math., 27, 1-24 (1974) · Zbl 0279.35071 [3] Hörmander, L., Propagation of singularities and semiglobal existence theorems for (pseudo)-differential operators of principal type, Ann. of Math., 108, 569-609 (1978) · Zbl 0396.35087 [4] Hörmander, L., The Weyl calculus of pseudo-differential operators, Comm. Pure Appl. Math., 32, 359-443 (1979) · Zbl 0388.47032 [5] Nirenberg, L.; Treves, F., On local solvability of linear partial differential equations; Part I: Necessary conditions, Part II: Sufficient conditions, Correction, Comm. Pure Appl. Math., 23, 1-38 (1970) · Zbl 0191.39103 [6] Sjöstrand, J., Operators of principal type with interior boundary conditions, Acta Math., 130, 1-51 (1973) · Zbl 0253.35076 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.