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

• Autores: Marcelo M. Cavalcanti, J. S. Prates Filho, V. N. Domingos Cavalcanti, J. A. Soriano Palomino
• Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 14, Nº 1, 2001, págs. 177-204
• Idioma: inglés
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• Resumen

  • 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.