The existence and uniqueness for the Dirichlet problem in general domains

Ivo Babuška; Rudolf Výborný

Czechoslovak Mathematical Journal (1959)

  • Volume: 09, Issue: 1, page 130-153
  • ISSN: 0011-4642

How to cite

top

Babuška, Ivo, and Výborný, Rudolf. "Die Existenz und Eindeutigkeit der Dirichletschen Aufgabe auf allgemeinen Gebieten." Czechoslovak Mathematical Journal 09.1 (1959): 130-153. <http://eudml.org/doc/11969>.

@article{Babuška1959,
author = {Babuška, Ivo, Výborný, Rudolf},
journal = {Czechoslovak Mathematical Journal},
keywords = {partial differential equations},
language = {ger},
number = {1},
pages = {130-153},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Die Existenz und Eindeutigkeit der Dirichletschen Aufgabe auf allgemeinen Gebieten},
url = {http://eudml.org/doc/11969},
volume = {09},
year = {1959},
}

TY - JOUR
AU - Babuška, Ivo
AU - Výborný, Rudolf
TI - Die Existenz und Eindeutigkeit der Dirichletschen Aufgabe auf allgemeinen Gebieten
JO - Czechoslovak Mathematical Journal
PY - 1959
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 09
IS - 1
SP - 130
EP - 153
LA - ger
KW - partial differential equations
UR - http://eudml.org/doc/11969
ER -

References

top
  1. M. Brelot, La théorie moderne du potentiel, Ann. de l'Inst. Four. IV, 1952, 113- 140. (1952) Zbl0055.08903MR0059419
  2. M. Brelot, Familles de Perron et problème de Dirichlet, Acta Szeget IX, fasc. III, 1939, 133-153. (1939) Zbl0023.23302MR0000734
  3. M. Brelot, Sur le rôle du point à l'infini dans la théorie des fonctions harmoniques, Ann. Ecol Normale 61, 1944, 301 - 332. (1944) Zbl0061.22801MR0013823
  4. J. Mařík, Dirichletova úloha, Čas. pro pěst. mat. 82 (1957), 257 - 282. (1957) MR0090666
  5. И. Г. Петровский, Лекции об уравнениях с частными производными, Москва 1953. (1953) Zbl1151.94459
  6. S. Zaremba, Sur l'unicité de la solution du problème de Dirichlet, Bulletin de l'Acad. des Sc. Cracovie 1909, 561-563. (1909) 
  7. N. Wiener, 10.1002/sapm19243124, Jour. of Math. and Physics 3 (1924), 24-51. (1924) DOI10.1002/sapm19243124
  8. M. В. Келдыш, О разрешимости и устойчивости задачи Дирихле, Успехи мат. наук 8 (1941), 171-231. (1941) Zbl0179.43901MR0005249
  9. Courant R., Hilbert D., Methoden der mathematischen Physik I, II, Berlin 1931, 1937. (1931) 
  10. O. D. Kellog, Foundations of Potential Theory, Berlin 1929. (1929) 
  11. M. В. Келдыш, О задаче Дирихле, ДАН СССР 32 (1941), 308-309. (1941) Zbl0179.43901MR0011368
  12. R. Výborný, Dirichletova úloha, Čas. pro pěst. mat. 83 (1958), 99-100. (1958) 
  13. H. M. Гюнтер, Теория потенциала и ее применение к основным задачам мат. физики, Москва 1953. (1953) Zbl1151.94459
  14. L. Amerio, Teoremi di esistenza per le equazini lineari del secondo ordine di tipo ellittico nei domini illimitati, Rend. Acc. d'Italia 4 (1943), 287 - 298. (1943) MR0011876
  15. M. Krzyzański, Sur le problème de Dirichlet pour l'équation du type elliptique dans un domaine non borné, Rend. Acc. Lincei, 4 (1948), 408 - 416. (1948) MR0027118
  16. M. Krzyzański, 10.4064/sm-11-1-95-125, Studia Mathematica 11 (1950), 95-125. (1950) MR0036420DOI10.4064/sm-11-1-95-125
  17. G. Tautz, 10.1007/BF01201372, Math. Zeitsch. 39 (1935), 532-559. (1935) Zbl0010.35603MR1545516DOI10.1007/BF01201372
  18. О. А. Олейнип, О задаче Дирихле для уравнений эллиптического типа, Мат. сб. 24 (1949), 3-14. (1949) Zbl1152.51302

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.