Asymptotic behavior for the free boundary of parabolic variational inequalities and applications to sequential analysis
Friedman, Avner
Illinois J. Math., Tome 26 (1982) no. 4, p. 653-697 / Harvested from Project Euclid
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We consider a solution of a parabolic variational inequality in one space variable. The obstacle is the minimum of two functions, and the inhomogeneous term has a singularity as $t \downarrow 0$. It is shown that the free boundary consists of two curves initiating at a point on $t=0$; their behavior as $t \downarrow 0$ is studied. An application is given to problems in sequential analysis with two or three hypotheses.
Publié le : 1982-12-15
Classification:  35K85,  49A29,  93E20 
@article{1256046603,
     author = {Friedman, Avner},
     title = {Asymptotic behavior for the free boundary of parabolic variational inequalities and applications to sequential analysis},
     journal = {Illinois J. Math.},
     volume = {26},
     number = {4},
     year = {1982},
     pages = { 653-697},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1256046603}
}

Friedman, Avner. Asymptotic behavior for the free boundary of parabolic variational inequalities and applications to sequential analysis. Illinois J. Math., Tome 26 (1982) no. 4, pp.  653-697. http://gdmltest.u-ga.fr/item/1256046603/