Yaroslav Kurylev
- Inverse problems for Lorentzian manifolds and non-linear hyperbolic\n equations
2014/05/14 by Yaroslav Kurylev, Matti Lassas, Kurylev, Yaroslav +3 · 11 citations
Mathematics · Physics and Astronomy · #35J25 #53C50 #83C05 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #Numerical methods in inverse problems
- Boundary regularity for the Ricci equation, geometric convergence, and Gel'fand's inverse boundary problem
2002/11/24 by Michael T. Anderson, Atsushi Katsuda, Anderson, Michael T. +7 · 7 citations
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Composite Material Mechanics #Numerical methods in inverse problems #math.AP #math.DG #math.SP
- Equivalence of time-domain inverse problems and boundary spectral problems
2002/02/22 by Alexander Katchalov, A. P. Katchalov, Yaroslav Kurylev +6 · 4 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics #math.AP
- Reconstruction and stability in Gel'fand's inverse interior spectral problem
2017/02/25 by Roberta Bosi, Bosi, Roberta, Yaroslav Kurylev +3 · 5 citations
Computer Science · Mathematics · #35R30 #58J50 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Numerical methods in inverse problems
- The Calderon problem in transversally anisotropic geometries
2013/05/06 by David Dos Santos Ferreira, Ferreira, David Dos Santos, Yaroslav Kurylev +5 · 3 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Numerical methods in inverse problems
- Forward and inverse scattering on manifolds with asymptotically cylindrical ends
2009/05/11 by Hiroshi Isozaki, Yaroslav Kurylev, Isozaki, Hiroshi +3 · 3 citations
Mathematics · Engineering · Computer Science · #Numerical methods in inverse problems #Microwave Imaging and Scattering Analysis #Advanced Mathematical Modeling in Engineering
- Inverse spectral problems on a closed manifold
2007/09/13 by Katsiaryna Krupchyk, Krupchyk, Katsiaryna, Yaroslav Kurylev +3 · 2 citations
Computer Science · Engineering · Mathematics · #35J25 #58J50 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Composite Material Mechanics #Differential Geometry (math.DG) #FOS: Mathematics #Numerical methods in inverse problems
- Recent progress of inverse scattering theory on non-compact manifolds
2013/08/07 by Hiroshi Isozaki, Yaroslav Kurylev, Isozaki, H. +3 · 2 citations
Computer Science · Mathematics · #Topological and Geometric Data Analysis #Geometric Analysis and Curvature Flows #Spectral Theory in Mathematical Physics
- Stability and Reconstruction in Gel'fand Inverse Boundary Spectral Problem
2002/01/30 by Atsushi Katsuda, Yaroslav Kurylev, Katsuda, Atsushi +3 · 1 citation
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP
- Invisibility and Inverse Problems
2008/10/01 by Allan Greenleaf, Yaroslav Kurylev, Greenleaf, Allan +5 · 1 citation
Materials Science · Physics and Astronomy · Mathematics · #Metamaterials and Metasurfaces Applications #Electromagnetic Scattering and Analysis #Numerical methods in inverse problems
- Conic singularities, generalized scattering matrix, and inverse scattering on asymptotically hyperbolic surfaces
2011/08/07 by Hiroshi Isozaki, Yaroslav Kurylev, Isozaki, Hiroshi +3 · 1 citation
Mathematics · #35R30 #57R18 #58J50 #Analysis of PDEs (math.AP) #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology
- Stability of the unique continuation for the wave operator via Tataru\n inequality and applications
2015/06/13 by Roberta Bosi, Yaroslav Kurylev, Bosi, Roberta +3 · 1 citation
Engineering · Mathematics · #35L05 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Stability and Controllability of Differential Equations
- Reconstruction and interpolation of manifolds I: The geometric Whitney\n problem
2015/08/04 by Charles Fefferman, Fefferman, Charles, Sergei Ivanov +7 · 1 citation
Mathematics · Computer Science · #Morphological variations and asymmetry #Numerical methods in inverse problems #Topological and Geometric Data Analysis