Finite-time Blow-up and Global Solutions for Some Nonlinear Parabolic Equations

نویسندگان

  • Filippo Gazzola
  • Takashi Suzuki
چکیده

For a class of semilinear parabolic equations, we prove both global existence and finite-time blow-up depending on the initial datum. The proofs involve tools from the potential-well theory, from the criticalpoint theory, and from classical comparison principles.

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تاریخ انتشار 2004