Large Time Behavior of Solutions to a Class Ofdoubly Nonlinear Parabolic Equationsjuan

نویسندگان

  • JUAN J. MANFREDI
  • VINCENZO VESPRI
چکیده

We study the large time asymptotic behavior of solutions of the doubly degenerate parabolic equation ut = div ? juj m?1 jruj p?2 ru in a cylinder R + , with initial condition u(x; 0) = u 0 (x) in and vanishing on the parabolic boundary @ R +. Here is a bounded domain in R N , the exponents m and p satisfy m + p 3, p > 1, and the initial datum u 0 is in L 1 (().

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تاریخ انتشار 1994