@article{RSMUP_1998__99__105_0, author = {Sargenti, Giulia}, title = {Continuity results for solutions of certain degenerate parabolic equations}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {105--131}, publisher = {Seminario Matematico of the University of Padua}, volume = {99}, year = {1998}, mrnumber = {1636591}, zbl = {0902.35061}, language = {en}, url = {http://www.numdam.org/item/RSMUP_1998__99__105_0/} }
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 SP - 105 EP - 131 VL - 99 PB - Seminario Matematico of the University of Padua UR - http://www.numdam.org/item/RSMUP_1998__99__105_0/ LA - en ID - RSMUP_1998__99__105_0 ER -
%0 Journal Article %A Sargenti, Giulia %T Continuity results for solutions of certain degenerate parabolic equations %J Rendiconti del Seminario Matematico della Università di Padova %D 1998 %P 105-131 %V 99 %I Seminario Matematico of the University of Padua %U http://www.numdam.org/item/RSMUP_1998__99__105_0/ %G en %F RSMUP_1998__99__105_0
Sargenti, Giulia. Continuity results for solutions of certain degenerate parabolic equations. Rendiconti del Seminario Matematico della Università di Padova, Tome 99 (1998), pp. 105-131. http://www.numdam.org/item/RSMUP_1998__99__105_0/
[1] Non steady flow of water and oil through inhomogeneous porous media, Ann. Sc. Norm. Sup. Pisa, 12 (1985), pp. 335-392. | Numdam | MR | Zbl
- ,[2] L. C. EVANS, Continuity of the temperature in the two phase Stefan problem, Arch. Rat. Mech. Anal., 81 (1983), pp. 199-220. | MR | Zbl
-[3] J. JAFFRÈ, Mathematical Models and Finite Elements Methods for Reservoir Simulation, North-Holland (1986). | Zbl
-[4] Continuity of weak solutions to certain singular parabolic equations, Ann. Mat. Pura Appl., 121 (1982), pp. 131-176. | MR | Zbl
,[5] Degenerate Parabolic Equations, Springer-Verlag, New York (1993). | MR | Zbl
,[6] On the singular equation (β(u) t) = Δu, Arch. Rat. Mech. Anal., 132 (1995), pp. 247-309. | Zbl
- ,[7] 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). | Zbl
-[8] Quelques methodes de resolution des problemes aux limites non lineaires, Dunod, Paris (1969). | MR
,[9] Regularity of minimizers of integrals of the calculus of variations with non standard growth conditions, Arch. Rat. Mech. Anal., 105 (1989), pp. 267-284. | MR | Zbl
,[10] Regularity and existence of solutions of elliptic equations with p, q growth conditions, J. Diff. Equations, 90 (1991), pp. 1-30. | MR | Zbl
,[11] On the definition and the lower semicontinuity of certain quasiconvex integrals, Ann. Inst. H. Poincaré Analyse Non Linéaire, 3 (1986), pp. 391-409. | Numdam | MR | Zbl
,[12] On a monotonicity method for the solution of non linear equations in Banach spaces, Proc. Nat. Acad. Sc. USA, 50 (1963), pp. 1038-1041. | MR | Zbl
,[13] Monotone non linear operator in Hilbert space, Duke Math. J., 29 (1962), pp. 341-346. | MR | Zbl
,[14] Regularity results for multiphase Stefan-like equations, Proceedings of the IFIP Conference, to appear. | MR | Zbl
- ,[15] Functional Analysis, Grundleheren B, 123, Springer (1965). | Zbl
,[16] Interior and boundary continuity of weak solutions of degenerate parabolic equations, Trans. Amer. Math. Soc., 271 (2) (1982), pp. 733-747. | MR | Zbl
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