Geodesic
Solution of a~model problem related to singularly perturbed free boundaries of Stefan type
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 39, Tome 362 (2008), pp. 64-91

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We consider a model problem of conjunction of two phases with a small parameter $\kappa$ in front of the principal term of a free boundary condition. The coercive estimate for the solution with a constant independent of $\kappa$ is derived in terms of a weighted Hölder space. Bibl. – 9 titles. 
@article{ZNSL_2008_362_a3,
     author = {G. I. Bizhanova},
     title = {Solution of a~model problem related to singularly perturbed free boundaries of {Stefan} type},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {64--91},
     publisher = {mathdoc},
     volume = {362},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2008_362_a3/}
}
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G. I. Bizhanova. Solution of a~model problem related to singularly perturbed free boundaries of Stefan type. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 39, Tome 362 (2008), pp. 64-91. http://geodesic.mathdoc.fr/item/ZNSL_2008_362_a3/