Global solutions and asymptotic behavior for a parabolic degenerate coupled system arising from biology

نویسندگان

  • Gabriela Liţcanu
  • Cristian Morales-Rodrigo
چکیده

In this paper we will focus on a parabolic degenerate system with respect to unknown functions u and w on a bounded domain of the two-dimensional Euclidean space. This system appears as a mathematical model for some biological processes. Global existence and uniqueness of a nonnegative classical Hölder continuous solution are proved. The last part of the paper is devoted to the study of the asymptotic behavior of the solutions. AMS Subject Classifications: 35B30, 35B40, 35B45, 92C17

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تاریخ انتشار 2009