Geodesic
On the analysis of an endothermal/exothermal saturation problem
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 27, Tome 233 (1996), pp. 131-141 
B. Louro; J.-F. Rodrigues. On the analysis of an endothermal/exothermal saturation problem. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 27, Tome 233 (1996), pp. 131-141. http://geodesic.mathdoc.fr/item/ZNSL_1996_233_a8/
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     author = {B. Louro and J.-F. Rodrigues},
     title = {On the analysis of an endothermal/exothermal saturation problem},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {131--141},
     year = {1996},
     volume = {233},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1996_233_a8/}
}
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In this paper we consider an endo or exo-thermal saturation problem that corresponds to a parabolic quasi-variational inequality. By using regularity results and inequalities of Lewy–Stampacchia type we prove the solvability of a modified problem (including the Steklov averaging and the mollification of the saturation velocity) for the nonlinear case and also of the exact problem for the linear case with a small coefficient in the temperature equation. Bibl. 8 titles.