APPLICATION OF FIXED POINT THEOREM TO EXISTENCE OF THE SOLUTION OF COMPLEX PARTIAL DIFFERENTIAL EQUATION IN GENERAL CASE IN SOBOLEV SPACE
NASIR TAGHIZADEH
Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O.Box 1914, Rasht, Iran
MONA NAJAND FOUMANI *
Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O.Box 1914, Rasht, Iran
*Author to whom correspondence should be addressed.
Abstract
In this paper, we discuss on the existence of the general solution of nonlinear partial di erential equation in general case
in Sobolev space by using Fixed point theorem.
At the end,we investigate the existence of the solution of some equations.
Keywords: Partial di erential equation, Sobolev space, xed point theorem, holomorphic function