RT Journal Article
T1 On a nonlinear degenerate parabolic equation in infiltration or evaporation through a porous medium
A1 Díaz Díaz, Jesús Ildefonso
A1 Kersner, R.
AB The 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.
PB Elsevier
SN 0022-0396
YR 1987
FD 1987
LK https://hdl.handle.net/20.500.14352/64664
UL https://hdl.handle.net/20.500.14352/64664
LA eng
DS Docta Complutense
RD 6 abr 2025