De Rham theorems and Neumann decompositions associated with linear partial differential equations

D. C. Spencer

Annales de l'institut Fourier (1964)

  • Volume: 14, Issue: 1, page 1-19
  • ISSN: 0373-0956

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Spencer, D. C.. "De Rham theorems and Neumann decompositions associated with linear partial differential equations." Annales de l'institut Fourier 14.1 (1964): 1-19. <http://eudml.org/doc/73823>.

@article{Spencer1964,
author = {Spencer, D. C.},
journal = {Annales de l'institut Fourier},
keywords = {partial differential equations equations},
language = {eng},
number = {1},
pages = {1-19},
publisher = {Association des Annales de l'Institut Fourier},
title = {De Rham theorems and Neumann decompositions associated with linear partial differential equations},
url = {http://eudml.org/doc/73823},
volume = {14},
year = {1964},
}

TY - JOUR
AU - Spencer, D. C.
TI - De Rham theorems and Neumann decompositions associated with linear partial differential equations
JO - Annales de l'institut Fourier
PY - 1964
PB - Association des Annales de l'Institut Fourier
VL - 14
IS - 1
SP - 1
EP - 19
LA - eng
KW - partial differential equations equations
UR - http://eudml.org/doc/73823
ER -

References

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  1. [1] M. E. ASH, The Neumann problem for multifoliate structure, thesis, Princeton University, (1962) (to appear). 
  2. [2] P. E. CONNER, The Neumann's problem for differential forms on riemannian manifolds, Memoirs of the Amer. Math. Soc., No. 20 (1956). Zbl0070.31404MR17,1197e
  3. [3] G. F. D. DUFF and D. C. SPENCER, Harmonic tensors on riemannian manifolds with boundary, Annals of Math., vol. 45 (1951), pp. 128-156. Zbl0049.18901
  4. [4] K. KODAIRA and D. C. SPENCER, Multifoliate structures, Annals of Math., vol. 74 (1961), pp. 52-100. Zbl0123.16401MR26 #5595
  5. [5] J. J. KOHN, a) Solutions of the A T T -Neumann problem on strongly pseudoconvex manifolds, Proc. Nat. Acad. Sci., U.S.A., vol. 47 (1961), pp. 1198-1202. Zbl0123.07803MR24 #A3422
  6. J. J. KOHN b) Regularity at the boundary of the A T T -Neumann problem, Proc. Nat. Acad. Sci., U.S.A., vol. 49 (1963), pp. 206-213. Zbl0118.31101MR26 #6996
  7. J. J. KOHN c) Harmonic integrals on strongly pseudoconvex manifolds, I, Annals of Math., vol. 78 (1963), pp. 112-148. Zbl0161.09302MR27 #2999
  8. J. J. KOHN d) Harmonic integrals on strongly pseudoconvex manifolds, II, Annals of Math. (to appear). Zbl0178.11305
  9. [6] C. B. MORREY, A variational method in the theory of harmonic integrals, II, Amer. Journal of Math., vol. 58 (1956), pp. 137-169. Zbl0070.31402MR19,408a
  10. [7] A NEWLANDER and. L. NIRENBERG, Complex analytic coordinates in almost complex manifolds, Annals of Math., vol. 65 (1957), pp. 391-404. Zbl0079.16102MR19,577a
  11. [8] L. NIREMBERG, A complex Frobenius theorem, Seminars on analytic functions, Institute for Advances Study, vol. 1 (1957), pp. 172-179. 
  12. [9] D. C. SPENCER, a) Deformation of structures on manifolds defined by transitive, continuous pseudogroups, I-II, Annals of Math., vol. 76 (1962), pp. 306-445. Zbl0124.38601MR27 #6287a
  13. D. C. SPENCER b) Deformation of structures on manifolds defined by transitive, continuous pseudogroups. Part III : Structures defined by elliptic pseudogroups (to appear). Zbl0192.29603
  14. D. C. SPENCER c) Harmonic integrals and Neumann problems associated with linear partial differential equations, in Outlines of the joint Soviet-American Symposium on partial differential equations, August, 1963, Novosibirsk, pp. 253-260. 

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