Regularity of solutions for some problems of mathematical physics

A. Koshelev

Annales de l'I.H.P. Analyse non linéaire (1995)

  • Volume: 12, Issue: 4, page 355-413
  • ISSN: 0294-1449

How to cite

top

Koshelev, A.. "Regularity of solutions for some problems of mathematical physics." Annales de l'I.H.P. Analyse non linéaire 12.4 (1995): 355-413. <http://eudml.org/doc/78363>.

@article{Koshelev1995,
author = {Koshelev, A.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Stokes system; quasilinear elliptic degenerate systems of divergent type; Hölder condition},
language = {eng},
number = {4},
pages = {355-413},
publisher = {Gauthier-Villars},
title = {Regularity of solutions for some problems of mathematical physics},
url = {http://eudml.org/doc/78363},
volume = {12},
year = {1995},
}

TY - JOUR
AU - Koshelev, A.
TI - Regularity of solutions for some problems of mathematical physics
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1995
PB - Gauthier-Villars
VL - 12
IS - 4
SP - 355
EP - 413
LA - eng
KW - Stokes system; quasilinear elliptic degenerate systems of divergent type; Hölder condition
UR - http://eudml.org/doc/78363
ER -

References

top
  1. [1] H.O. Cordes, Über die erste Randwertaufgabe bei quasilinearen Differentialgleichungen zweiter Ordnung in mehr als zwei Variablen, Math. Ann., Bd. 131, 1956, pp. 278-312. Zbl0070.09604MR91400
  2. [2] A. Koshelev, About some coercive inequalities for elementary elliptic and parabolic operators. Institut für AngewandteAnalysis und Stochastik, preprint No. 15, Berlin1992. 
  3. [3] A. Koshelev, Reguljarnost reschenyi ellipticheskih uravnenij i sistem, Moskva, Nauka, 1986. MR854103
  4. [4] A. Koshelev, Regularity of solutions for some quasilinear parabolic systems, Mathematische Nachrichten, Vol. 162, 1993, pp. 59-88. Zbl0811.35064MR1239576
  5. [5] E.M. Stein, Singular integrals and differentiability properties on functions, Princeton University Press, New Jersey, 1970. Zbl0207.13501MR290095
  6. [6] V.A. Solonnikov, On general boundary value problems for elliptic systems in the sense of Douglis-Nirenberg,' I, Izv, Akad. Nauk SSSR, ser. mat., Vol. 28, 1964, pp. 665-706; II, Trudy Mat. Inst. steklov, Vol. 70, 1966, pp. 133-212. Zbl0175.11703MR211070
  7. [7] A. Koshelev, A priori estimates in Lp and the existence theorems, Uspehi matem. nauk, Vol. 13:4, 1958, pp. 29-88. Zbl0122.33702
  8. [8] V.A. Kondrat'ev, Solvability of the first boundary-value problem for strongly elliptic equations, Trans. Moscow Math. Soc., Vol. 16, 1967, pp. 209-292. Zbl0194.13501MR223739
  9. [9] S.I. Chelkak and A.I. Koshelev, Regularity of solutions of quasilinear elliptic systems, Leipzig: Teubner, 1985. Zbl0581.35003MR825485
  10. [10] O.A. Ladyzhenskaya, The mathematical theory of viscous incompressible flow, Gordon and Breach, New York, London, Paris, 1969. Zbl0184.52603MR254401

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.