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
Department of Mathematics and Computer Science, San Jose State University, San Jose 95192, CA, USA
Received 1 January 1990; Revised 1 June 1990
Copyright © 1990 Igor Malyshev. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.