Continuity results for solutions of certain degenerate parabolic equations

Giulia Sargenti

Rendiconti del Seminario Matematico della Università di Padova (1998)

  • Volume: 99, page 105-131
  • ISSN: 0041-8994

How to cite

top

Sargenti, Giulia. "Continuity results for solutions of certain degenerate parabolic equations." Rendiconti del Seminario Matematico della Università di Padova 99 (1998): 105-131. <http://eudml.org/doc/108468>.

@article{Sargenti1998,
author = {Sargenti, Giulia},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {locally bounded weak solutions; divergence form},
language = {eng},
pages = {105-131},
publisher = {Seminario Matematico of the University of Padua},
title = {Continuity results for solutions of certain degenerate parabolic equations},
url = {http://eudml.org/doc/108468},
volume = {99},
year = {1998},
}

TY - JOUR
AU - Sargenti, Giulia
TI - Continuity results for solutions of certain degenerate parabolic equations
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1998
PB - Seminario Matematico of the University of Padua
VL - 99
SP - 105
EP - 131
LA - eng
KW - locally bounded weak solutions; divergence form
UR - http://eudml.org/doc/108468
ER -

References

top
  1. [1] H.W. Alt - E. Di Benedetto, Non steady flow of water and oil through inhomogeneous porous media, Ann. Sc. Norm. Sup. Pisa, 12 (1985), pp. 335-392. Zbl0608.76082MR837254
  2. [2] L. Caffarelli - L. C. EVANS, Continuity of the temperature in the two phase Stefan problem, Arch. Rat. Mech. Anal., 81 (1983), pp. 199-220. Zbl0516.35080MR683353
  3. [3] G. Chavent - J. JAFFRÈ, Mathematical Models and Finite Elements Methods for Reservoir Simulation, North-Holland (1986). Zbl0603.76101
  4. [4] E. Di Benedetto, Continuity of weak solutions to certain singular parabolic equations, Ann. Mat. Pura Appl., 121 (1982), pp. 131-176. Zbl0503.35018MR663969
  5. [5] E. Di Benedetto, Degenerate Parabolic Equations, Springer-Verlag, New York (1993). Zbl0794.35090MR1230384
  6. [6] E. Di Benedetto - V. Vespri, On the singular equation (β(u) t) = Δu, Arch. Rat. Mech. Anal., 132 (1995), pp. 247-309. Zbl0849.35060
  7. [7] O.A. Ladyzhenskaya - N. A. SOLONNIKOV - N. N. URAL'TZEVA, Linear and quasilinear equations of parabolic type, Transl. Math. Mono., 23, A.M.S., Providence, Rhode Island (1969). Zbl0174.15403
  8. [8] J.L. Lions, Quelques methodes de resolution des problemes aux limites non lineaires, Dunod, Paris (1969). Zbl0189.40603MR259693
  9. [9] P. Marcellini, Regularity of minimizers of integrals of the calculus of variations with non standard growth conditions, Arch. Rat. Mech. Anal., 105 (1989), pp. 267-284. Zbl0667.49032MR969900
  10. [10] P. Marcellini, Regularity and existence of solutions of elliptic equations with p, q growth conditions, J. Diff. Equations, 90 (1991), pp. 1-30. Zbl0724.35043MR1094446
  11. [11] P. Marcellini, On the definition and the lower semicontinuity of certain quasiconvex integrals, Ann. Inst. H. Poincaré Analyse Non Linéaire, 3 (1986), pp. 391-409. Zbl0609.49009MR868523
  12. [12] G.J. Minty, On a monotonicity method for the solution of non linear equations in Banach spaces, Proc. Nat. Acad. Sc. USA, 50 (1963), pp. 1038-1041. Zbl0124.07303MR162159
  13. [13] G.J. Minty, Monotone non linear operator in Hilbert space, Duke Math. J., 29 (1962), pp. 341-346. Zbl0111.31202MR169064
  14. [14] G. Sargenti - V. Vespri, Regularity results for multiphase Stefan-like equations, Proceedings of the IFIP Conference, to appear. Zbl0881.35129MR1388524
  15. [15] K. Yosida, Functional Analysis, Grundleheren B, 123, Springer (1965). Zbl0126.11504
  16. [16] W. Ziemer, Interior and boundary continuity of weak solutions of degenerate parabolic equations, Trans. Amer. Math. Soc., 271 (2) (1982), pp. 733-747. Zbl0506.35053MR654859

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.