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)
  • 투고 : 1997.06.25
  • 발행 : 1997.09.30

초록

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.

키워드

과제정보

연구 과제 주관 기관 : Sookmyung Women's University