Resumen de Existence and asymptotic behaviour for a degenerate Kirchhoff-Carrier model with viscosity and nonlinear boundary conditions

Marcelo M. Cavalcanti, J. S. Prates Filho, V. N. Domingos Cavalcanti, J. A. Soriano Palomino

• The present paper studies the existence and uniqueness of global solutions and decay rates to the nonlinear hyperbolic problem (*) ¶2y/¶t2-M(òW|Ñy2|dx)Dy-¶/¶tDy=0 in W¿(0,¥) y=0 on S1=G1¿(0,¥) M(òW|Ñy2|dx)¶y/¶v+¶/¶t(¶y/¶v)+|y|gy=0 on S0=G0¿(0,¥) y(0)=y0, ¶y/¶t(0)=y1 in W where M is a C1 function; M(l)³0; "l³0.