Geodesic
Initial-boundary value problems in a~bounded domain: probabilistic representations of solutions and limit theorems.~I
Teoriâ veroâtnostej i ee primeneniâ, Tome 61 (2016) no. 4, pp. 733-752

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In this paper, we construct a new method of probabilistic representation of a solution of initial boundary value problems for series of evolution equations in a circle based on constructing a special continuation of an initial function from the circle to the whole plane.
Keywords: initial boundary value problems, limit theorems, Feynman integral, Feynman measure.
Mots-clés : evolution equations 
@article{TVP_2016_61_4_a5,
     author = {I. A. Ibragimov and N. V. Smorodina and M. M. Faddeev},
     title = {Initial-boundary value problems in a~bounded domain: probabilistic representations of solutions and limit {theorems.~I}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {733--752},
     publisher = {mathdoc},
     volume = {61},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2016_61_4_a5/}
}
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I. A. Ibragimov; N. V. Smorodina; M. M. Faddeev. Initial-boundary value problems in a~bounded domain: probabilistic representations of solutions and limit theorems.~I. Teoriâ veroâtnostej i ee primeneniâ, Tome 61 (2016) no. 4, pp. 733-752. http://geodesic.mathdoc.fr/item/TVP_2016_61_4_a5/