# Neumann operator for wave equation in a half space and microlocal orders of singularities along the boundary

Séminaire Équations aux dérivées partielles (Polytechnique) (1992-1993)

- page 1-6

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topMiyatake, S.. "Neumann operator for wave equation in a half space and microlocal orders of singularities along the boundary." Séminaire Équations aux dérivées partielles (Polytechnique) (1992-1993): 1-6. <http://eudml.org/doc/112056>.

@article{Miyatake1992-1993,

author = {Miyatake, S.},

journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},

keywords = {progressing solution; Dirichlet-to-Neumann operator; gap of microlocal regularityity; microlocal order of singularity},

language = {eng},

pages = {1-6},

publisher = {Ecole Polytechnique, Centre de Mathématiques},

title = {Neumann operator for wave equation in a half space and microlocal orders of singularities along the boundary},

url = {http://eudml.org/doc/112056},

year = {1992-1993},

}

TY - JOUR

AU - Miyatake, S.

TI - Neumann operator for wave equation in a half space and microlocal orders of singularities along the boundary

JO - Séminaire Équations aux dérivées partielles (Polytechnique)

PY - 1992-1993

PB - Ecole Polytechnique, Centre de Mathématiques

SP - 1

EP - 6

LA - eng

KW - progressing solution; Dirichlet-to-Neumann operator; gap of microlocal regularityity; microlocal order of singularity

UR - http://eudml.org/doc/112056

ER -

## References

top- [1] L. Hörmander - The analysis of linear partial differencial operators III, Springer-Verlag, (1985). Zbl0601.35001MR781536
- [2] H. Kumano- go - Pseudodifferential and Fourier integral operators with applications fundamental solutions to hyperbolic equations, Lecture note (1983).
- [3] S. Miyatake - Mixed problems for hyperbolic equations of second order with first order complex boundary operators, J. Math. Kyoto Univ. (1975). Zbl0337.35047MR430542
- [4] S. Miyatake - Microlocal orders of singularities for distributions and an application to Fourier integral operators,J. Math. Kyoto Univ.29, (1989). Zbl0721.35096MR1015875
- [5] S. Miyatake - Microlocal orders of singularities for distributions and trace formulas of hyperbolic type, Lecture note in Trieste (1993). Zbl0826.35149MR1340237
- [6] R. Sakamoto - Mixed problem for hyperbolic equation I and II, J. Math. Kyoto Univ.8,(1970). Zbl0203.10001

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