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On the propagation of singularities for pseudo-differential operators of principal type. (English) Zbl 0503.58031


MSC:

58J47 Propagation of singularities; initial value problems on manifolds
35S05 Pseudodifferential operators as generalizations of partial differential operators

Citations:

Zbl 0396.35087
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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
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