Feynman formulas for solutions of evolution equations on ramified surfaces
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Publication:2344157
DOI10.1134/S1061920814020113zbMath1327.47036OpenAlexW2076723736MaRDI QIDQ2344157
Publication date: 12 May 2015
Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1061920814020113
One-parameter semigroups and linear evolution equations (47D06) Initial value problems for second-order parabolic equations (35K15) Schrödinger and Feynman-Kac semigroups (47D08)
Related Items
Quasi-Feynman formulas -- a method of obtaining the evolution operator for the Schrödinger equation ⋮ New method for constructing Chernoff functions ⋮ Representation of solutions of evolution equations on a ramified surface by Feynman formulae ⋮ Feynman formulas for solutions to evolution equations in domains of multidimensional ramified surfaces ⋮ Approximations to the solution of Cauchy problem for a linear evolution equation via the space shift operator (second-order equation example) ⋮ Formulas that represent Cauchy problem solution for momentum and position Schrödinger equation ⋮ Solution-giving formula to Cauchy problem for multidimensional parabolic equation with variable coefficients
Cites Work
- Feynman formulas for stochastic and quantum dynamics of particles in multidimensional domains
- Feynman description of the one-dimensional dynamics of particles whose masses piecewise continuously depend on coordinates
- Feynman formula for a class of second-order parabolic equations in a bounded domain
- Diffusion on compact Riemannian manifolds, and surface measures.
- Surface measures and initial boundary value problems generated by diffusions with drift
- Feynman formulas for second-order parabolic equations with variable coefficients
- One-Parameter Semigroups for Linear Evolution Equations
