TY - JOUR AU - Díaz Díaz, Jesús Ildefonso AU - Kawohl, B. PY - 1993 DO - 10.1006/jmaa.1993.1257 SN - 0022-247X UR - https://hdl.handle.net/20.500.14352/57488 T2 - Journal of Mathematical Analysis and Applications AB - "We consider some degenerate parabolic problems on a convex (or starshaped) ring. We prove that if the initial data have convex (or starshaped) level sets, then the solution u(t,⋅) has the same property for any positive t. Similar results are shown... LA - eng M2 - 263 PB - Elsevier KW - porous-medium equation KW - geometrical properties KW - obstacle problem KW - free-boundary KW - diffusion KW - stabilization KW - continuity KW - regularity KW - concavity KW - support TI - On convexity and starshapedness of level sets for some nonlinear elliptic and parabolic problems on convex rings TY - journal article VL - 177 ER -