Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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UNIQUENESS OF SOLUTIONS FOR A DEGENERATE PARABOLIC EQUATION WITH ABSORPTION

  • Lee, Jin Ho (Department of Mathematics Sookmyung Women's University) ;
  • Jang, Seong Hee (Department of Mathematics Sookmyung Women's University)
  • Received : 1997.06.25
  • Published : 1997.09.30
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Abstract

We estimate the interior Lipschitz norm and maximum of the solution for degenerate parabolic equations with absorption. Also obtain the growth rate of the solution $u$ in terms of time $t$. From this we show the uniqueness of solution with respect to the initial trace.

Keywords

Acknowledgement

Supported by : Sookmyung Women's University