Abstract
Under consideration is the problem of optimal multiplicative control for the Helmholtz equation. Scattering of the harmonic waves by a certain obstacle with impedance boundary is studied. We look for the value of impedance such that the distribution of the acoustic pressure on a certain sphere is maximally close to a given one. The main result consists in the description of the structure of the solution set, substantiation of the system of optimality, and derivation of the bang-bang principle for the optimal control.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
