Место издания:Изд. Lobachevsky State University of Nizhni Novgorod Nizhni Novgorod
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Аннотация:We consider normal parabolic equations (NPE) connected with 3D Helmholtz equations
whose nonlinear term B(v) is orthogonal projection of nonlinear term for Helmholtz
system on the ray generated by vector v. We will describe the structure of dynamical
flow corresponding to this NPE and explain why this NPE can be interesting. Our main
goal is to study nonlocal stabilization problem for NPE introduced above by starting
control supported on arbitrary fixed subset with nonempty interior. The main steps of
solution to this problem will be discussed.