On some perturbation techniques for quasi-linear parabolic equations. (1990)

• Record Type: Journal Article
• Authors: Malyshev, Igor
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 3:Number 3(1990)
• Page Start: 169
• Page End: 175
• Publication Date: 1990
• Subjects: quasi-linear parabolic equation -- heat potentials -- boundary value problem -- operator equation; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953390000168
• Languages: English
• ISSNs: 1048-9533

Abstract

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.