Harnack Estimate for the Endangered Species Equation

نویسندگان

  • XIAODONG CAO
  • MARK CERENZIA
چکیده

We prove a differential Harnack inequality for the Endangered Species Equation, which is a nonlinear parabolic equation. Our derivation relies on an idea related to the parabolic maximum principle. As an application of this inequality, we will show that positive solutions to this equation must blowup in finite time.

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تاریخ انتشار 2014