RT Journal Article
T1 On convexity and starshapedness of level sets for some nonlinear elliptic and parabolic problems on convex rings
A1 Díaz Díaz, Jesús Ildefonso
A1 Kawohl, B.
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 for the corresponding stationary problems. Our results imply in particular the convexity (or starshapedness) of certain free boundaries. Other nonlinear parabolic problems are also discussed.''
PB Elsevier
SN 0022-247X
YR 1993
FD 1993-07-15
LK https://hdl.handle.net/20.500.14352/57488
UL https://hdl.handle.net/20.500.14352/57488
LA eng
NO DGICYT of Spain
NO Deutsche Forschungsgemeinschaft (DFG).
DS Docta Complutense
RD 6 abr 2025