Asymptotic behavior of the plasma equation with homogeneous dirichlet boundary condition and non-negative initial data

References

• Barbu , V. 1976 . Nonlinear semi-groups and differential equations in Banach Spaces , Leyden : Nordhoff International Publishing Co .
   Google Scholar
• Benilan P. Orandal M.G Pazy A Non-linear Evolution governed by accretive operators
   Google Scholar
• Berryman , J.G. and Holland , O.J . 1980 . Stability of the separable solution for fast diffusion . Archive for Rational Mechanic and Analysis ,
   Google Scholar
• Brezis , H. and Orandall , M.G . 1979 . Uniqueness of solutions of the initial value problem for O∊{ut - δ⊘(u) . J: Math pures et, appl , 68 : 153 – 163 .
   Google Scholar
• Chicco . 1977 . Solvability of the Dirichlet problem in H2,p(ω) for a class of linear second order elliptic equations . Boll. UM , 14 : 374 – 387 .
   Google Scholar
• Orandall , M.G. 1974 . An Introduction to evolution governed by accretive operators in Proceedings of the International Symposium on Dynamical Systems , Brown University .
   Google Scholar
• Evans , L.O. 1977 . Differentiability of a non-linear semi-group in Ll . J. of Math.Analysis and Application , 60 : 703 – 715 .
   Google Scholar
• Evans , L.C. 1978 . Application of nonlinear semi-group theory to certain partial differential equations . Nonlinear Evolution Equations , 60
   Google Scholar
• Kwong Y.C. Extinction and interior and boundary regularity of Plasma type equation with non-negative initial data and homogeneous Dirichlet boundary conditions
   Google Scholar
• Kwong , Y.C. 1984 . Asymptotic Behavior of the Plasma Equation , Madison : Math. Research Center .
   Google Scholar
• Lions , P.L. 1979 . Problemes ellipitiques du zeme ordre non sous forms diverence . Proc. Roy. Soc. Edinbrugh , 84A : 263 – 271 .
   Google Scholar
• Sabanina , E.S. 1962 . A class of non-linear degenerate parabolic equations . Sov. Math. Doklady , 143 : 495 – 498 .
   Google Scholar
• Paul , Sacks . 1983 . Continuity of solutions of a singular parabolic equation . Non-linear Anal. Theory Math. Appl , 7 : 387 – 409 .
   Google Scholar
• Gary , Schroeder . 1983 . Ph.D. Thesis , 7
   Google Scholar
• DiBenedetto , E. 1981 . Continuity of weak solutions to a general porous medium equation , Madison, Wisconsin : Math. Research Center .
   Google Scholar
• Ladyzenskaja , O.A. , Solonnikov , N.M and Uraleeva . 1968 . Linear and Quasilinear jgquatins of Parabolic type . Amer. Math. Cos., Providence ,
   Google Scholar