Volume : 6, Issue : 3, March - 2017

EXISTANCE OF A LOCAL SOLUTION OF A PARABOLIC � HYPERBOLIC FREE BOUNDARY PROBLEM

Mrs. S. A. Dhanalakshmi

Abstract :

<p>&nbsp;<span style="font-family: &quot;Times New Roman&quot;, serif; font-size: 12pt; text-align: justify;">A parabolic-hyperbolic free boundary problem has been studied. After the study, we transform the problem for moving domain into an equivalent one which defined on a fixed domain. The existence and uniqueness of a local solution of the transformed problem by applying Banach fixed point theorem is derived.</span></p> <p class="MsoNormal" style="text-align:justify;line-height:200%"><span style="font-size:12.0pt;line-height:200%;font-family:&quot;Times New Roman&quot;,serif"><o:p></o:p></span></p>