A remark on the regularity at the boundary for solutions of elliptic equations

M. K. Venkatesha Murthy

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1961)

  • Volume: 15, Issue: 4, page 355-370
  • ISSN: 0391-173X

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Venkatesha Murthy, M. K.. "A remark on the regularity at the boundary for solutions of elliptic equations." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 15.4 (1961): 355-370. <http://eudml.org/doc/83272>.

@article{VenkateshaMurthy1961,
author = {Venkatesha Murthy, M. K.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {partial differential equations},
language = {eng},
number = {4},
pages = {355-370},
publisher = {Scuola normale superiore},
title = {A remark on the regularity at the boundary for solutions of elliptic equations},
url = {http://eudml.org/doc/83272},
volume = {15},
year = {1961},
}

TY - JOUR
AU - Venkatesha Murthy, M. K.
TI - A remark on the regularity at the boundary for solutions of elliptic equations
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1961
PB - Scuola normale superiore
VL - 15
IS - 4
SP - 355
EP - 370
LA - eng
KW - partial differential equations
UR - http://eudml.org/doc/83272
ER -

References

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  1. [1] S. Agmon, A. Douglis and L. Nirenbrg, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions I, Comm. Pure. Appl. Math., 12 (1959), pp. 623-727. Zbl0093.10401MR125307
  2. [2] A. Friedman, On the regularity of the solutions of non-linear elliptic and parabolic systems of partial differential equations, Journal of Mathematics and Mechanics, 7 (1958), pp. 43-59. Zbl0078.27702MR118970
  3. [3] E. Magenes and G. Stampacchia, I problemi al contorno per le equazioni differenziali di tipo ellittico, Scuola Normale Snperiore, Pisa, 12 (1958), pp. 247-257. Zbl0082.09601MR123818
  4. [4] C.B. Morrey and L. Nirenberg, On the analyticity of the solutions of linear elliptic systems of partial differential equations, Comm. Pure. Appl. Math., 10 (1957), pp. 271-290. Zbl0082.09402MR89334
  5. [5] J. Peetre, Théorèmes de régularité pour quelques classes d'opérateurs différentiels, Communioations dn Séminaire Mathématique de l'université de Lund, Tome 16 (1959). Zbl0139.28402MR133593

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