Publication Cover
Applicable Analysis
An International Journal
Volume 79, 2001 - Issue 3-4
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Original Articles

Control of essential supremum of solutions of quasilinear degenerate parabolic equations

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Pages 405-418 | Received 14 Feb 2001, Accepted 16 Mar 2001, Published online: 24 May 2007

References

  • Adams , R.A. 1975 . “ Sobolev Spaces ” . New York : Academic Press .
  • Aronson , D.G. and Serrin , J. 1967 . A maximum principle for nonlinear parabolic equations . Annali Scuola Nor. Sup. Pisa , 3 ( 21 ) : 291 – 305 .
  • Bonafede , S. 1994 . On maximum principle for weak subsolutions of degenerate parabolic linear equations . Comment. Math. Univ. Carolinae , 35 ( 3 ) : 417 – 430 .
  • Bonafede , S. 1996 . A weak maximum principle and estimates of ess supωu for nonlinear degenerate elliptic equations . Czech. Math. Journal , 121 ( 46 ) : 259 – 269 .
  • Bonafede , S. and Nicolosi , F. 2000 . A generalized maximum principle for boundary value problems for degenerate parabolic operator with discontinuous coefficients . Math. Bohemica , 125 ( 1 )
  • Cooper , F. 1973 . A maximum principle for degenerate elliptic equation . J. London Math. Soc , 6 ( 2 ) : 205 – 209 .
  • Eklund , N.A. 1976 . Generalized super-solution of parabolic operators . Transaction of the American Mathematical Society , 220 : 235 – 242 .
  • Guglielmino , F. and Nicolosi , F. 1987 . W-solutions of boundary value problems for degenerate elliptic operators' . Ricerche di Matematica , 36 : 59 – 72 . (suppl)
  • Guglielmino , F. and Nicolosi , F. 1988 . Existence theorems for boundary value problems associated with quasilinear elliptic equations . Ricerche di Matematica , 37 : 157 – 176 .
  • Guglielmino , F. and Nicolosi , F. 1992 . Existence results for boundary value problems associated with a class of quasilinear parabolic equations . Current problems of analysis and methematical physics , : 95 – 117 .
  • Ladyzenskaja , O.A. , Solonnikov , V.A. and Ural'tseva , N.N. 1968 . Linear and quasi-linear equations of parabolic type . Translation of mathematical monogrpahs , 23 A.M.S. Providence
  • Murthy , M.K.V. and Stampacchia , G. 1968 . Boundary value problems for some degenerate-elliptic operators . Ann. Mat. Pura Appl , 80 ( 4 ) : 1 – 122 .
  • Nicolosi , F. 1980 . Soluzioni der problemi al contorno er operatori parabolici che possono degenerare . Annali di Matematica , 125 ( 4 ) : 135 – 155 .
  • Kacur , J. 1976 . A generalized maximum principle and estimates of maxvrai u for nonlinear parabolic boundary value problems . Czech. Math. Journal , 101 ( 26 ) : 507 – 526 .
  • Stampacchia , G. 1965 . Le probleme de Dirichlet pour les equations elliptiques du second ordre a coefficients discountinues . Annal.Inst. Fourier , 15 : 187 – 257 .
  • Troianello , G.M. On weak subsolutions for parabolic second-ordre operators . Comm. in partial Diff. Equat , 3 ( 10 ) 933 – 948 .

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