An Implicit Function Theorem and Applications to Nonsmooth Boundary Layers

Author:

Butuzov Valentin Fëdorovich,Nefedov Nikolai N.,Omel’chenko Oleh E.,Recke Lutz,Schneider Klaus R.

Publisher

Springer International Publishing

Reference15 articles.

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2. Butuzov, V.F., Nefedov, N.N., Recke, L., Schneider, K.R.: On a singularly perturbed initial value problem in the case of a double root of the degenerate equation. Nonlinear Anal. Theor. Methods Appl. Ser. A 83, 1–11 (2013)

3. Fife, P.: Boundary and interior transition layer phenomena for pairs of second-order differential equations. J. Math. Anal. Appl. 54, 497–521 (1976)

4. Fife, P., Greenlee, W.M.: Transition layers for elliptic boundary value problems with small parameters. Uspechi Mat. Nauk. 24, 103–130 (1974)

5. Hale, J.K., Salazar, D.: Boundary layers in a semilinear parabolic problem. Tohoku Math. J. 51, 421–432 (1999)

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1. Boundary layer solutions to singularly perturbed quasilinear systems;Discrete and Continuous Dynamical Systems - Series B;2021

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