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Propagation of analytic singularities for second order Dirichlet problems. III. (English) Zbl 0524.35032


MSC:

35J25 Boundary value problems for second-order elliptic equations
58J47 Propagation of singularities; initial value problems on manifolds
78A45 Diffraction, scattering

Citations:

Zbl 0458.35026
Full Text: DOI

References:

[1] Eskin G., Comm. P.D.E 1 (6) pp 521– (1976) · Zbl 0355.35053 · doi:10.1080/03605307608820020
[2] H[otilde]rmander L., C.P.A.M. 23 (6) pp 329– (1970)
[3] H[otilde]rmander L., An introduction to complex analysis in several variables (1973)
[4] H[otilde]rmander L., Acta Math 113 pp 89– (1965) · Zbl 0158.11002 · doi:10.1007/BF02391775
[5] Kataoka K., a theorem on regularity of diffractive operators
[6] Melin A., Springer Lecture Notes in Mathematics 459 pp 121–
[7] Melrose R., Duke Math 42 (4) pp 605– (1975) · Zbl 0368.35055 · doi:10.1215/S0012-7094-75-04254-4
[8] Melrose R., Tr. Vsesoyuzn. matem. s’ezda 15 (1977)
[9] Mizohata S., J. Math. Kyoto Univ 1 (4) pp 271– (1962)
[10] Sato M., Springer Lecture Notes in Mathematics 287 (4)
[11] Schapira, P. 1977.Propagation at the boundary and reflection of analytic singularities of solutions of linear partial differential equations I, Vol. 12, 441–453. R.I.M.S., Kyoto Univ. · Zbl 0378.35065
[12] Schapira P., Propagation au bord et rèflexion des singularitiès analytiques des solutions des equations aux deriveès partielles II 9 (1976)
[13] Rauch J., Indiana Univ. Math. J., to appear
[14] Sjōstrand J., Coram. P.D.E 5 (1) pp 41– (1980) · Zbl 0458.35026 · doi:10.1080/03605308008820133
[15] Sjōstrand J., Comm. P.D.E 5 (2) pp 187– (1980) · Zbl 0534.35030 · doi:10.1080/03605308008820137
[16] Taylor M., C.P.A.M 29 (1) pp 1– (1976)
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