Título: | Existence of backward global-solutions to nonlinear dissipative wave-equations |
Autores: | Carpio, Ana |
Tipo de documento: | texto impreso |
Editorial: | Elsevier, 1993 |
Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Ecuaciones diferenciales , Tipo = Artículo |
Resumen: |
Let OMEGA be a bounded smooth domain of R(n). We prove existence of global solutions, i. e. solutions defined for all t is-an-element-of R, for dissipative wave equations of the form: u''-DELTAu+\u'\p-1 u'=0 in (- infinity, infinity) x OMEGA with Dirichlet homogeneous boundary conditions, where 1 2. More precisely, for every solution psi (with constant sign if 1 - infinity. When OMEGA is unbounded the same existence result holds for p greater-than-or-equal-to 2. |
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