6 citations · 11 across the 11 of their papers we have counts for
14 papers
Inverse conductivity problem on a Riemann surface
Peter L. Polyakov
We present an application of the Faddeev-Henkin exponential ansatz and of the d-to-d-bar map on the boundary to inverse conductivity problem on a bordered Riemann surface in CP2. I…
Boundary integral formula for harmonic functions on Riemann surfaces
Peter L. Polyakov
We construct a boundary integral formula for harmonic functions on open, smoothly-bordered subdomains of Riemann surfaces embeddable into $\C¶^2$. The formula may be considered as…
Residual Cauchy-type formula on Riemann surfaces
Peter L. Polyakov
We construct a Cauchy type formula on open subdomains of Riemann surfaces
Explicit Hodge decomposition on Riemann surfaces
Gennadi M. Henkin, Peter L. Polyakov
We present a construction of the explicit Hodge decomposition for -equation on Riemann surfaces.
Explicit Hodge-type decomposition on projective complete intersections
Gennadi M. Henkin, Peter L. Polyakov
We construct an explicit homotopy formula for the d-bar complex on a complete intersection subvariety V in CP^n. This formula can be interpreted as a Hodge-type decomposition for r…
On a perturbation method for stochastic parabolic PDE
Peter L. Polyakov
In the article we address two issues related to the perturbation method introduced by Zhang and Lu, and applied to solving linear stochastic parabolic PDE. Those issues are: the co…