RT Journal Article
T1 The one-dimensional nonlinear heat-equation with absorption: regularity of solutions and interfaces
A1 Herrero, Miguel A.
A1 Vázquez, Juan Luis
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 the initial datum uo(X)is positive only in a part of the space R, we also study the regularity of the free boundaries that appear. The asymptotic behavior of solutions and free boundaries is also discussed.
PB Society for Industrial and Applied Mathematics
SN 0036-1410
YR 1987
FD 1987-01
LK https://hdl.handle.net/20.500.14352/57789
UL https://hdl.handle.net/20.500.14352/57789
LA eng
NO SFPI, Ministerio de Educacibn y Ciencia
NO Fulbright award
DS Docta Complutense
RD 25 abr 2025