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Let f2 e ]R.", an open set, bounded with regular boundary I'; Q = f2 x (O, T) and L: = r x (O, T), the lateral boundary of the cylinder Q. Consider the following nonlinear parabolic equation of degenerate type: { :tlulau div(k(\lu)\lu) + lul~I,U= O u=O u(O) = Uo in Q in L: in f2 vVhere, k: ]R." -7 ]R.+ uZO}, is a continuous nonlinear function O < a < 1, 0<(3. In this paper we show the existence oi' weak solution oi' the problem (*)

EXISTENCIA DE SOLUCIONES DÉBILES PARA UNA CLASE DE ECUACIONES PARABÓLICAS NO LINEALES DEGENERADAS