An Iff solvability condition for the oblique derivative problem

N. Lerner

Séminaire Équations aux dérivées partielles (Polytechnique) (1990-1991)

  • page 1-7

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Lerner, N.. "An Iff solvability condition for the oblique derivative problem." Séminaire Équations aux dérivées partielles (Polytechnique) (1990-1991): 1-7. <http://eudml.org/doc/112010>.

@article{Lerner1990-1991,
author = {Lerner, N.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {local solvability; condition ; Nirenberg-Treves conjecture; pseudodifferential operators; oblique derivative},
language = {eng},
pages = {1-7},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {An Iff solvability condition for the oblique derivative problem},
url = {http://eudml.org/doc/112010},
year = {1990-1991},
}

TY - JOUR
AU - Lerner, N.
TI - An Iff solvability condition for the oblique derivative problem
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1990-1991
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 7
LA - eng
KW - local solvability; condition ; Nirenberg-Treves conjecture; pseudodifferential operators; oblique derivative
UR - http://eudml.org/doc/112010
ER -

References

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  1. [1] R. Beals, C. Fefferman: On local solvability of linear partial differential equations, Ann. of Math.97, (1973), 482-498. Zbl0256.35002MR352746
  2. [2] Y.V. Egorov: The canonical transformations of pseudo-differential operators, Usp.Mat.Nauk, 24: 5 (1969), 235-236. Zbl0191.43802MR265748
  3. [3] Y.V. Egorov, V.A. Kondrat'ev: The oblique derivative problem, Math.USSR Sbomik vol. 7(1969),1. Zbl0186.43202
  4. [4] L. Hörmander: Propagation of singularities and semi-global existence theoremsfor (pseudo-) differential operators of principal type, Ann. of Math.108, (1978), 569-609. Zbl0396.35087MR512434
  5. [5] L. Hörmander: The Analysis of Linear Partial Differential Operators (1985) Springer-Verlag, Berlin, Heidelberg, New-York, Tokyo, 4 volumes. Zbl0601.35001
  6. [6] N. Lerner: Sufficiency of condition (ψ) for local solvability in two dimensions, Ann. of Math., 128 (1988), 243-258. Zbl0682.35112
  7. [7] A. Melin, J. Sjöstrand: Fourier integral operators with complex-valued phase functions, Springer Lectures Notes, 459, (1975),120-233. Zbl0306.42007MR431289
  8. [8] A. Melin, J. Sjöstrand: A calculus for Fourier integral operators in domains with boundary and applications to the oblique derivative problem, Comm.PDE, 2 (9), (1977) 857-935. Zbl0392.35055MR458508
  9. [9] S. Mizohata: Solutions nulles et solutions non- analytiques, J. Math.Kyoto Un.1, 271-302, (1962). Zbl0106.29601MR142873
  10. [10] R.D. Moyer: Local solvability in two dimensions: necessary conditions for the principal type case, University of Kansas, Mimeographed manuscript, (1978). 
  11. [11] L. Nirenberg, F. Treves: On local solvability of linear partial differential equations. I. Necessary conditions. Zbl0191.39103
  12. II Sufficient conditions. Correction. Comm.Pure Appl. Math., 23 (1970) 1-38 and 459-509; 24 (1971) 279-288. 

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