European Science Methodical Journal

BOUNDARY VALUE PROBLEM FOR A PARTIAL DERIVATIVE EQUATION OF PARABOLIC TYPE WITH TWO LINES OF DEGENERACY

Sharipov J. I.

National University of Uzbekistan named after Mirzo Ulugbek

Keywords: ill-posed problem, a priori estimate, correctness set, uniqueness, conditional stability.

Abstract

This paper examines the edge problem for a partial differential equation of parabolic type with two lines of degeneracy, a representation of the solution is obtained, an a priori estimate of the solution is derived, theorems are obtained that prove the uniqueness and conditional stability on the correctness set of the solution.