Geodesic
Asymptotic Stability, Local Uniqueness, and Domain of Attraction of Two-Dimensional Step Type Contrast Structures
Matematičeskie zametki, Tome 69 (2001) no. 1, pp. 82-91

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We prove the asymptotic stability of a two-dimensional stationary solution with internal transition layer to a singularly perturbed parabolic problem. We also construct a set of functions belonging to the domain of attraction of such a solution. 
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     author = {I. V. Nedelko},
     title = {Asymptotic {Stability,} {Local} {Uniqueness,} and {Domain} of {Attraction} of {Two-Dimensional} {Step} {Type} {Contrast} {Structures}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {82--91},
     publisher = {mathdoc},
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     number = {1},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2001_69_1_a6/}
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I. V. Nedelko. Asymptotic Stability, Local Uniqueness, and Domain of Attraction of Two-Dimensional Step Type Contrast Structures. Matematičeskie zametki, Tome 69 (2001) no. 1, pp. 82-91. http://geodesic.mathdoc.fr/item/MZM_2001_69_1_a6/