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math.AP2014★ 6 cited
Mixed variational approach to finding guaranteed estimates from solutions and right-hand sides of the second-order linear elliptic equations under incomplete data
Yuri Podlipenko, Yury Shestopalov
We investigate the problem of guaranteed estimation of values of linear continuous functionals defined on solutions to mixed variational equations generated by linear elliptic prob…
math.AP2009★ 8 cited
Estimation under uncertainties of acoustic and electromagnetic fields from noisy observations
Yury Podlipenko, Yury Shestopalov, Vladimir Prishlyak
The creation and justification of the methods for minimax estimation of parameters of the external boundary value problems for the Helmholtz equation in unbounded domains are consi…
math.AP2009
Solvability of the boundary value problem associated with the wave diffraction by a layer filled with a Kerr-type nonlinear medium
Yury Shestopalov, Vasil Yatsyk
The diffraction of a plane wave by a transversely inhomogeneous isotropic nonmagnetic linearly polarized dielectric layer filled with a Kerr-type nonlinear medium is considered. Th…