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Stability of the solution to inverse obstacle scattering problem
inverse obstacle scattering problem math
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2010/11/1
It is proved that if the scattering amplitudes at a fixed wavenumber for two obstacles from a certain large class of obstacles differ a little, than the obstacles differ a little. Error estimate is g...
Stochastic viscosity solution for stochastic PDIEs with nonlinear Neumann boundary condition
Stochastic viscosity solution stochastic PDIEs
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2010/11/19
This paper is an attempt to extend the notion of viscosity solution to nonlinear stochastic partial differential integral equations with nonlinear Neumann boundary condition. Using the recently devel...
On the Saddle-point Solution and the Large-Coalition Behavior of Fingerprinting Games
the Saddle-point Solution the Large-Coalition Behavior Fingerprinting Games
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2010/11/11
We study a fingerprinting game in which the number of colluders and the collusion channel are unknown. The encoder embeds fingerprints into a host sequence and provides the decoder with the capability...
On representation of the P-Q pair solution at the singular point neighborhood
the P-Q pair solution singular point
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2010/11/1
The compatible expansion in series of solutions of both the equations of P-Q pair at neighborhood of the singular point is obtained in closed form for regular and irregular singularities. The conserva...
Gravitational Solitons and Monodromy Transform Approach to Solution of Integrable Reductions of Einstein Equations
Gravitational Solitons Monodromy Transform Solution
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2010/11/2
In this paper the well known Belinskii and Zakharov soliton generating transformations of the solution space of vacuum Einstein equations with two-dimensional Abelian groups of isometries are consider...