TY - JOUR AU - Herrero, Miguel A. AU - Vázquez, Juan Luis PY - 1987 DO - 10.1137/0518011 SN - 0036-1410 UR - https://hdl.handle.net/20.500.14352/57789 T2 - Siam Journal on Mathematical Analysis AB - We consider the equation ut=(Um)xx-λun with m>1, λ>0, n≥m as a model for heat diffusion with absorption. Hence we assume that u≥0 for xЄR, t≥0. We study the regularity of the solution to the Cauchy problem for this degenerate parabolic equation. When... LA - eng M2 - 149 PB - Society for Industrial and Applied Mathematics KW - Nonlinear diffusion with absorption KW - regularity KW - interfaces or free boundaries KW - waiting time KW - asymptotic behavior TI - The one-dimensional nonlinear heat-equation with absorption: regularity of solutions and interfaces TY - journal article VL - 18 ER -