Geodesic
A one-dimensional free boundary problem arising in combustion theory.
Portugaliae mathematica, Tome 58 (2001) no. 3, pp. 317-337.

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Keywords: flame front, existence of global-in-time classical solutions, large-time asymptotic, comparison principle 
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     title = {A one-dimensional free boundary problem arising in combustion theory.},
     journal = {Portugaliae mathematica},
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     zbl = {0988.35175},
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Antontsev, S.N.; Meirmanov, A.M.; Yurinsky, V.V. A one-dimensional free boundary problem arising in combustion theory.. Portugaliae mathematica, Tome 58 (2001) no. 3, pp. 317-337. http://geodesic.mathdoc.fr/item/PORMA_2001__58_3_49261/