Výsledky vyhledávání - "Victor Kalvin"

Determinant of Friederichs Dirichlet Laplacians on $2$-dimensional hyperbolic cones

Autor: Victor Kalvin

We explicitly express the spectral determinant of Friederichs Dirichlet Laplacians on the 2-dimensional hyperbolic (Gaussian curvature -1) cones in terms of the cone angle and the geodesic radius of the boundary. The related results in the recent pap

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On Determinants of Laplacians on Compact Riemann Surfaces Equipped with Pullbacks of Conical Metrics by Meromorphic Functions

Autor: Victor Kalvin

Publikováno v: The Journal of Geometric Analysis. 29:785-798

Let $\mathsf m$ be any conical (or smooth) metric of finite volume on the Riemann sphere $\Bbb CP^1$. On a compact Riemann surface $X$ of genus $g$ consider a meromorphic funciton $f: X\to {\Bbb C}P^1$ such that all poles and critical points of $f$ a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f087c6ed58b9eaa6569c72d58bc21452
https://doi.org/10.1007/s12220-018-0018-2

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Metrics of Constant Positive Curvature with Conical Singularities, Hurwitz Spaces, and Determinants of Laplacians

Autor: Victor Kalvin, Alexey Kokotov

Publikováno v: International Mathematics Research Notices

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f6033851dc9b3a7cec17e3723c580996
https://doi.org/10.1093/imrn/rnx224

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Polyakov-Alvarez type comparison formulas for determinants of Laplacians on Riemann surfaces with conical singularities

Autor: Victor Kalvin

We present and prove Polyakov-Alvarez type comparison formulas for the determinants of Friederichs extensions of Laplacians corresponding to conformally equivalent metrics on a compact Riemann surface with conical singularities. In particular, we fin

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Spectral deformations and exponential decay of eigenfunctions for the Neumann Laplacian on manifolds with quasicylindrical ends

Autor: Victor Kalvin

Publikováno v: Journal of Mathematical Analysis and Applications. 432:749-760

We study spectral properties of the Neumann Laplacian on manifolds with quasicylindrical ends. In particular, we prove exponential decay of the non-threshold eigenfunctions and show that the eigenvalues can accumulate only at thresholds of the absolu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7062f5c563b495117ec198529fe95119
https://doi.org/10.1016/j.jmaa.2015.07.008

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Perfectly Matched Layers for Diffraction Gratings in Inhomogeneous Media. Stability and Error Estimates

Autor: Victor Kalvin

Publikováno v: SIAM Journal on Numerical Analysis. 49:309-330

We study the scattering of acoustic or electromagnetic waves at diffraction gratings in inhomogeneous media. The refractive index stabilizes to 1 as the distance to the grating increases. Outgoing solutions are characterized by means of the limiting

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::153ad39cfb78a06605bc2cf9a3c0e316
https://doi.org/10.1137/08073442x

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