RT Journal Article
T1 Entropy solutions for nonlinear degenerate problems
A1 Carrillo Menéndez, José
AB We consider a class of elliptic-hyperbolic degenerate equations g(u) - Delta b(u) + div phi (u) = f with Dirichlet homogeneous boundary conditions and a class of elliptic-parabolic-hyperbolic degenerate equations g(u)(t) - Delta b(u) + div phi (u) = f with homogeneous Dirichlet conditions and initial conditions. Existence of entropy solutions for both problems is proved for nondecreasing continuous functions g and b vanishing at zero and for a continuous vectorial function phi satisfying rather general conditions. Comparison and uniqueness of entropy solutions are proved for g and b continuous and nondecreasing and for phi continuous.
PB Springer
SN 0003-9527
YR 1999
FD 1999
LK https://hdl.handle.net/20.500.14352/57350
UL https://hdl.handle.net/20.500.14352/57350
LA eng
DS Docta Complutense
RD 8 abr 2025