Geodesic
Optimal Solution Space and Regularization of Equations with Discontinuities in the Space Variables
Matematičeskie zametki, Tome 70 (2001) no. 3, pp. 458-467

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper points to the fact that properties of optimal solutions can be studied, bypassing the Cauchy problem theory for the equation of optimal control synthesis. 
@article{MZM_2001_70_3_a12,
     author = {V. V. Filippov},
     title = {Optimal {Solution} {Space} and {Regularization} of {Equations} with {Discontinuities} in the {Space} {Variables}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {458--467},
     publisher = {mathdoc},
     volume = {70},
     number = {3},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2001_70_3_a12/}
}
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V. V. Filippov. Optimal Solution Space and Regularization of Equations with Discontinuities in the Space Variables. Matematičeskie zametki, Tome 70 (2001) no. 3, pp. 458-467. http://geodesic.mathdoc.fr/item/MZM_2001_70_3_a12/