Nonlinear Elliptic-Parabolic Equations with L¹-data

References

• Alt , H.W. and Luckhaus , S. 1983 . Quasilinear elliptic-parabolic - equations . Math. Z. , 183 : 311 – 341 .
   Web of Science ®Google Scholar
• Bear , M. 1975 . Dynamics of fluids in porous media , New York : American Elsevier .
   Google Scholar
• Bear , M. 1979 . Hydraulics of ground water , New York : MacGraw Hill .
   Google Scholar
• Blanchard , D. and Francfort , G. 1988 . Study of a doubly non linear heat equation with no growth assumptions on the parabolic term . Siam J. Num. Anal. , 19 ( 5 )
   Web of Science ®Google Scholar
• Eden , A. , Michaux , B. and Rakotoson , J.M. 1991 . Doubly non linear parabolic type equations as dynamical systems . Journal of Dynamics and Differential Equations , 3 ( 1 ) : 87 – 131 .
   Google Scholar
• Eden , A. , Michaux , B. and Rakotoson , J.M. 1990 . Semi-discretized non linear evolution equations as discrete dynamical systems and error analysis . Indiana University Mathematics Journal , 39 ( 3 ) : 737 – 783 .
   Web of Science ®Google Scholar
• Hilhorst , D. and Hulshof , J. 1990 . An elliptic-parabolic problem in combustion theory :convergence to travelling waves , France : Prépublications mathématiques de l'université d'Orsay .
   Google Scholar
• Ladyzenskaja , O.A. , Solonnikov , V.A. and Ural'tseva , N.N. 1968 . Linear and quasi-linear equations of parabolic type , Vol. 223 , Providence, RI : AMS Transl. Mono. .
   Google Scholar
• Lions , J.L. 1969 . Quelques méthodes de résolution des problèmes aux limites non linéaires , Paris : Paris Dunod .
   Google Scholar
• Rakotoson , J.M. 1991 . Quasilinear elliptic problems with measures as data , Eq : Diff. Integ. .
   Google Scholar
• Rakotoson , J.M. 1991 . A compactness result for quasilinear problems:application to parabolic equation with measures as data , Applied Math. Letters .
   Google Scholar
• Temam , R. 1984 . Navier Stokes equations:theory and numerical analysis , North-Holland : North-Holland Amsterdam .
   Google Scholar