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.
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