TY - JOUR AU - Di Benedetto, E. AU - Herrero, Miguel A. PY - 1989 DO - 10.1090/S0002-9947-1989-0962278-5 SN - 0002-9947 UR - https://hdl.handle.net/20.500.14352/57767 T2 - Transactions of the American Mathematical Society AB - The authors study the Cauchy problem for the degenerate parabolic equation ut = div(|Du| pāˆ’2 Du)(p<2), and find sufficient conditions on the initial trace u0 (and in particular on its behaviour as |x|ā†’āˆž) for existence of a solution in some strip RN Ɨ... LA - eng M2 - 187 PB - American Mathematical Society KW - Cauchy problem KW - porous medium equation KW - existence KW - Harnack-type inequality KW - Uniqueness TI - On the Cauchy problem and initial traces for a degenerate parabolic equation TY - journal article VL - 314 ER -