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Instantaneous shrinking of the support of solutions to a nonlinear degenerate parabolic equation


We study the effect of shrinking of the support of a solution to a nonlinear parabolic equation with strong heat drain at low temperatures.

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Translated fromMatematicheskie Zametki, Vol. 63, No. 3, pp. 323–331, March, 1998.

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Abdullaev, U.G. Instantaneous shrinking of the support of solutions to a nonlinear degenerate parabolic equation. Math Notes 63, 285–292 (1998).

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Key words

  • nonlinear parabolic equation
  • Cauchy problem
  • support of solutions
  • instantaneous shrinking