EKSISTENSI SOLUSI GLOBAL MASALAH SYARAT BATAS BERGERAK PADA PERSAMAAN PARABOLIK; THE EXISTENCE OF GLOBAL SOLUTIONS OF A FREE BOUNDARY PROBLEM OF PARABOLIC EQUATIONS

Pipit Pratiwi Rahayu, Lina Aryati

2011 | Disertasi | PROGRAM STUDI S2 MATEMATIKA

In this thesis, we discuss about existence of global solution of free boundary problem of parabolic equations with a positive parameter ? included in the coefficient of the derivative with respect to the time variable t. This problem arises from some reaction-diffusion system. We prove that, if ? is large enough, the solution exists for 0 ? t ? ?. To analysis that we use strong maximumminimum principles and some properties of metric space, Lp ??? space, and Sobolev space.

Kata Kunci : Persamaan reaksi difusi, masalah syarat batas bergerak pada persamaan parabolik, eksistensi solusi global, ruang Sobolev