%0 Journal Article
%A Herrero, Miguel A.
%T On a class of nonlinear degenerate parabolic equations
%D 1982
%@ 0032-5155
%U https://hdl.handle.net/20.500.14352/64874
%X The paper is a nice brief review of fundamental results about the initial value problem for one-dimensional nonlinear degenerate parabolic equations of "porous media'' type: ut=[φ(ux)]x, x∈R, t>0, with φ continuous, nondecreasing, φ(0)=0, |φ(s)|→∞ as |s|→∞. The results concern existence, uniqueness and regularity of solutions with initial data u0 in L2 (u0 not necessarily of one sign). When u0≥0 has compact support, regularity and growth results of the interfaces demarcating the compact support of the solution are also described.
%~