ИСТИНА

For solving biharmonic problems with application to radar imaging, we need to solve boundary value problems for the Poisson equation using the scattering model. In addition, no information about boundary values is available. In order to select suitable solutions, we solve the Poisson equation under the side condition that some criterion function, usually a Sobolev norm, should be minimized. Under appropriate smoothness assumptions these problems may be reformulated as boundary value problems for the biharmonic equation.