Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Yaroslav Kurylev"'
Publikováno v:
Analysis & PDE. 15:273-326
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fe052723c4f60ebce247b14494560ec1
https://doi.org/10.2140/apde.2022.15.273
https://doi.org/10.2140/apde.2022.15.273
We consider a convolution-type operator on vector bundles over metric-measure spaces. This operator extends the analogous convolution Laplacian on functions in our earlier work to vector bundles, and is a natural extension of the graph connection Lap
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6be5ab497ec0c46ecd54dd339b7c0f31
http://arxiv.org/abs/2012.09997
http://arxiv.org/abs/2012.09997
In this article we study the linearized anisotropic Calderon problem. In a compact manifold with boundary, this problem amounts to showing that products of harmonic functions form a complete set. Assuming that the manifold is transversally anisotropi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3140bcb4f8b2489a769c064a02741f57
http://urn.fi/URN:NBN:fi:jyu-202012187301
http://urn.fi/URN:NBN:fi:jyu-202012187301
Publikováno v:
Journal of Differential Equations
Journal of Differential Equations, Elsevier, 2019, 267 (4), pp.2210-2238. ⟨10.1016/j.jde.2019.03.008⟩
Journal of Differential Equations, 2019, 267 (4), pp.2210-2238. ⟨10.1016/j.jde.2019.03.008⟩
Journal of Differential Equations, Elsevier, 2019, 267 (4), pp.2210-2238. ⟨10.1016/j.jde.2019.03.008⟩
Journal of Differential Equations, 2019, 267 (4), pp.2210-2238. ⟨10.1016/j.jde.2019.03.008⟩
We consider a restricted Dirichlet-to-Neumann map Λ S , R T associated with the operator ∂ t 2 − Δ g + A + q where Δ g is the Laplace-Beltrami operator of a Riemannian manifold ( M , g ) , and A and q are a vector field and a function on M. Th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ec705d12afef61729f67abe4b065cf80
http://hdl.handle.net/10138/332834
http://hdl.handle.net/10138/332834
Publikováno v:
Journal of Differential Equations. 260:6451-6492
In this paper we study the stability of the unique continuation in the case of the wave equation with variable coefficients independent of time. We prove a logarithmic estimate in a arbitrary domain of ${\mathbb R}^{n+1}$, where all the parameters ar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::43d8a995c2e847bc341c70f5af013cfb
https://doi.org/10.1016/j.jde.2015.12.043
https://doi.org/10.1016/j.jde.2015.12.043
In 1995, Tataru proved a Carleman-type estimate for linear operators with partially analytic coefficients that is generally used to prove the unique continuation of those operators. In this paper, we use this inequality to study the stability of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::888fa0ddb0dabbdca515aa5a81ca14f4
http://hdl.handle.net/10138/311064
http://hdl.handle.net/10138/311064
Publikováno v:
Spectral Theory and Partial Differential Equations. :71-85
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7a9a8c30099df9cf340354865c40ce09
https://doi.org/10.1090/conm/640/12840
https://doi.org/10.1090/conm/640/12840
Publikováno v:
Journal of Functional Analysis. 267:2478-2506
We establish optimal conditions under which the G-convergence of linear elliptic operators implies the convergence of the corresponding Dirichlet to Neumann maps. As an application we show that the approximate cloaking isotropic materials from [ Gree
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::109ec60864438853cac8a773451bccca
https://doi.org/10.1016/j.jfa.2014.06.005
https://doi.org/10.1016/j.jfa.2014.06.005
Publikováno v:
Journées équations aux dérivées partielles. :1-11
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1c96f96d1712f3b8f49745ff0d18e593
https://doi.org/10.5802/jedp.44
https://doi.org/10.5802/jedp.44