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On some perturbation techniques for quasi-linear parabolic equations

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  • Igor Malyshev

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.

Suggested Citation

  • Igor Malyshev, 1990. "On some perturbation techniques for quasi-linear parabolic equations," International Journal of Stochastic Analysis, Hindawi, vol. 3, pages 1-7, January.
    • Handle: RePEc:hin:jnijsa:870617
    DOI: 10.1155/S1048953390000168
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