Díaz Díaz, Jesús IldefonsoKersner, R.2023-06-212023-06-2119870022-039610.1016/0022-0396(87)90125-2https://hdl.handle.net/20.500.14352/64664The main result of the paper is the uniqueness of nonnegative solutions of the Cauchy problem and of the first and mixed boundary value problems for a class of degenerate parabolic equations which includes the model equation ut=(um)xx+(un)x, where m≥1 and n>0. In particular, n is allowed to be smaller than one. The proof is based on a refined test function argument. The condition that u be nonnegative is crucial, but the restriction to one space variable is not.engjournal articlehttp://www.sciencedirect.com/science/article/pii/0022039687901252restricted access517.956.4Dirichlet boundary conditionsinitial datainfiltrationevaporationporous mediumexistence of limit solutionsweak solutionsmodulus of continuityuniquenessGeometría diferencial1204.04 Geometría Diferencial