A priori estimates for hypoelliptic differential equations in a half-space

Leif Arkeryd

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1968)

  • Volume: 22, Issue: 3, page 409-424
  • ISSN: 0391-173X

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Arkeryd, Leif. "A priori estimates for hypoelliptic differential equations in a half-space." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 22.3 (1968): 409-424. <http://eudml.org/doc/83467>.

@article{Arkeryd1968,
author = {Arkeryd, Leif},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {partial differential equations},
language = {eng},
number = {3},
pages = {409-424},
publisher = {Scuola normale superiore},
title = {A priori estimates for hypoelliptic differential equations in a half-space},
url = {http://eudml.org/doc/83467},
volume = {22},
year = {1968},
}

TY - JOUR
AU - Arkeryd, Leif
TI - A priori estimates for hypoelliptic differential equations in a half-space
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1968
PB - Scuola normale superiore
VL - 22
IS - 3
SP - 409
EP - 424
LA - eng
KW - partial differential equations
UR - http://eudml.org/doc/83467
ER -

References

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  1. [1] L. ArkerydOn the LP estimates for elliptic boundary problems, Math. Scand.19 (1966), 59-76. Zbl0152.11202MR224970
  2. [2] K. Frifdrichs, On the differentiability of the solutions of linear elliptic differential equations, Comm. Pure Appl. Math. 6 (1953), 299-325. Zbl0051.32703MR58828
  3. [3] E. Goursat, Cours d'Analyse Mathématique, 5e édition, Paris1929. 
  4. [4] L. Hörmander, On the regularity of the solutions of boundary problems, Acta Math.99 (1958), 225-264. Zbl0083.09201MR131655
  5. [5] L. Hörmander, Linear partial differential operators, Berlin, Springer, 1963. Zbl0108.09301MR404822
  6. [6] L. Hörmander, J.L. Lions, Sur la complétion par rapport à une integrale de Dirichlet, Math. Scand.4 (1956), 259-270. Zbl0078.28003MR87848
  7. [7] T. Matsuzawa, Regularity at the boundary for solutions of hypo-elliptic equations, Osaka J. Math.3 (1966), 313-334. Zbl0168.07801MR209667
  8. [8] J. Peetre, On estimating the solutions of hypoelliptic differential equations near the plane boundary, Math. Scand.9 (1961), 337-351. Zbl0113.30601MR146517
  9. [9] M. Schechter, On the dominance of partial differential operators II, A. S. N. S. Pisa18 (1964), 255-282. Zbl0125.05903MR188614
  10. [10] L. Schwartz, Theorie des distributions, Paris1957, 1959. 
  11. [11] M.I. Višik, G.I. Eskin, Uravuenija v svertkah v organicennoj oblasti, Usp. Mat. Nauk20 (1965), 89-151. MR185273

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