A Non Solvable Operator Satisfying Condition ( ψ )

Nicolas Lerner

Publications mathématiques et informatique de Rennes (1992)

  • Issue: 1, page 151-184

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Lerner, Nicolas. "A Non Solvable Operator Satisfying Condition $(\psi )$." Publications mathématiques et informatique de Rennes (1992): 151-184. <http://eudml.org/doc/274871>.

@article{Lerner1992,
author = {Lerner, Nicolas},
journal = {Publications mathématiques et informatique de Rennes},
language = {eng},
number = {1},
pages = {151-184},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {A Non Solvable Operator Satisfying Condition $(\psi )$},
url = {http://eudml.org/doc/274871},
year = {1992},
}

TY - JOUR
AU - Lerner, Nicolas
TI - A Non Solvable Operator Satisfying Condition $(\psi )$
JO - Publications mathématiques et informatique de Rennes
PY - 1992
PB - Département de Mathématiques et Informatique, Université de Rennes
IS - 1
SP - 151
EP - 184
LA - eng
UR - http://eudml.org/doc/274871
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] J.-M. Bony : Second microlocalization and propagation of singularities for semi-linear hyperbolic equations and related topics, Mizohata (Ed) Kinokuwa (1986) 11-49. Zbl0669.35073MR925240
  3. [3] J.-M. Bony, N. Lerner : Quantification asymptotique et microlocalisations d'ordre supérieur I, Ann. ENS, 4° série, tome 22, 1989, 377-433. Zbl0753.35005MR1011988
  4. [4] C. Fefferman, D.H. Phong : The uncertainty principle and sharp Gårding inequalities, CPAM34(1981), 285-331. Zbl0458.35099MR611747
  5. [5] L. Hörmander : The Analysis of Linear Partial Differential Operators (1985) Springer-Verlag, Berlin, Heidelberg, New-York, Tokyo, 4 volumes. Zbl0521.35002
  6. [6] N. Lerner : Sufficiency of condition (Ψ) for local solvability in two dimensions, Ann. of Math., 128 (1988) , 243-258. Zbl0682.35112MR960946
  7. [7] N. Lerner : An iff solvability condition for the oblique derivative problem, Séminaire EDP 90-91, Ecole Polytechnique, exposé n° 18. Zbl0737.35171MR1131591
  8. [8] S. Mizohata : Solutions nulles et solutions non- analytiques, J. Math.Kyoto Un.1, 271-302, (1962). Zbl0106.29601MR142873
  9. [9] R.D. Moyer : Local solvability in two dimensions : necessary conditions for the principal type case, University of Kansas, Mimeographed manuscript, (1978). 
  10. [10] L. Nirenberg, F. Treves : Solvability of a first order linear partial differential equation, Comm.Pure Appl Math.16, 331-351 (1963). Zbl0117.06104MR163045
  11. [11] L. Nirenberg, F. Treves : On local solvability of linear partial differential equations. INecessary conditions.II. Sufficient conditions. Correction Comm. Pure Appl. Math., 23 (1970) 1-38 and 459-509; 24 (1971) 279-288. Zbl0221.35019MR264470

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