Journal of Applied Mathematics and Stochastic Analysis 
Volume 3 (1990), Issue 3, Pages 169-175
doi:10.1155/S1048953390000168

On some perturbation techniques for quasi-linear parabolic equations

Igor Malyshev

 Department of Mathematics and Computer Science, San Jose State University, San Jose 95192, CA, USA
Received 1 January 1990; Revised 1 June 1990

Abstract

We study a nonhomogeneous quasi-linear parabolic equation and introduce a method that allows us to find the solution of a nonlinear boundary value problem in “explicit” form. This task is accomplished by perturbing the original equation with a source function, which is then found as a solution of some nonlinear operator equation.