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texto impreso
The authors study the nonlinear porous media type equation ut(t,x)???(u(t,x))=0 for (t,x)?(0,?)×?, ?(u(t,x))=0 for (t,x)?(0,?)×??, u(0,x)=u0(x) for x??, with ? an open set in Rn, and ? a regular, real, continuous, nondecreasing function. In the [...]texto impreso
Bénilan, Philippe ; Boccardo, L. ; Herrero, Miguel A. | Libreria Editrice Universitaria Levrotto & Bella | 1989Let f?L1(RN), N?1, f?0, and consider the Cauchy problem ut=?um on ]0,?[×RN, u(0,?)=f on RN. The authors prove that as m??, the corresponding solutions um(t)?u_=f+?w in L1(RN), uniformly for t in a compact set in ]0,?[, where 0?w_?L1(Rn) is the s[...]texto impreso
We present here an improved version of the method introduced by the first author to derive pointwise gradient estimates for the solutions of one-dimensional parabolic problems. After considering a general qualinear equation in divergence form we[...]
