Feynman formulas for solutions of evolution equations on ramified surfaces

We obtain a representation, using a Feynman formula, for the operator semigroup generated by a second-order parabolic differential equation with respect to functions defined on the Cartesian product of the line ℝ and a graph consisting of n rays issuing from a common vertex.

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Bibliographic Details
Published in:Russian journal of mathematical physics 2014-04, Vol.21 (2), p.285-288
Main Author: Dubravina, V. A.
Format: Article
Language:English
Subjects:
Mathematical and Computational Physics
Physics
Physics and Astronomy
Short Communications
Theoretical
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Description
Summary:We obtain a representation, using a Feynman formula, for the operator semigroup generated by a second-order parabolic differential equation with respect to functions defined on the Cartesian product of the line ℝ and a graph consisting of n rays issuing from a common vertex.
ISSN:1061-9208
1555-6638
DOI:10.1134/S1061920814020113