Publication Cover
Applicable Analysis
An International Journal
Volume 13, 1982 - Issue 1
17
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

A weak bang-bang principle for the control of an exterior robin problem

Pages 65-75 | Received 11 May 1981, Published online: 02 May 2007

References

  • Angell , T. S. and Kleinman , R. E. 1978 . “ Optimal control problems in radiation and scattering In ” . In Symposium on Applied Mathematics Dedicated to the Late Professor Dr. R. Timman , Edited by: Hermans , A. J. and Oosterveld , M. W. C. Delft : Delft University Press, Sijthoff and Noordhoff International Publishers .
  • Angell , T. S. and Kleinman , R. E. 1979. . Optimally Directed Antennas, Technical Report 60A, , University of Delaware . Technical Report
  • Angell , T. S. and Kleinman , R. E. 1980. . Boundary Integral Equations for the Helmholtz Equation; The Third Boundary Value Problem , Vol. 73A , University of Delaware . Technical Report
  • Angell , T. S. and Kleinman , R. E. 1980 . Scattering Control by Impedance Loading, Preprint, , University of Delaware .
  • Maz'ya , V. G. and Sapozhnikova , V. D. 1968 . “ On the theory of simple and double-layer potentials for domains with irregular boundaries, in ” . In Problems in Mathematical Analysis , Edited by: Smirnov , V. I. Vol. 1 , 1 – 30 . Consultants Bureau . Boundary Problems and Integral Equations
  • Colton , D. and Kirsch , A. 1981 . The determination of the surface impedance of an obstacle from measurements of the far field pattern . SIAM Appl. Math , 41 : 8 – 15 .
  • Garabedian , R. P. 1964 . Partial Differential Equations , New York : John Wiley .
  • Glashoff , K. and Sachs , E. 1977 . On theoretical and numerical aspects of the bang-bang-principle . Numerische Mathematik , 29 : 93 – 113 .
  • Günter , N. M. 1957 . Die Potentialtheorie und ihre Anwendung auf Grundaufgaben der Mathematischen Physik , Leipzig : B. G. Teubner .
  • Jörgens , K. 1970 . Lineare Integraloperatoren , Stuttgart : B. G. Teubner .
  • Jones , D. S. 1974 . Integral equations for the exterior acoustics problem, . Quart. J. Mech. Appl Math , 27 ( 1 ) : 129 – 142 .
  • Jones , D. S. 1981 . Optimal control of an exterior Robin problem . J. Math. Anal. Appl , 82 ( 1 ) : 144 – 151 .
  • Kirsch , A. , Warth , W. and Werner , J. 1978 . “ Notwendige Optimalitätsbedingungen und ihre Anwendung ” . In Lecture Notes in Economics and Mathematical Systems 152 , Berlin-Heidelberg, New York : Springer .
  • Lee , E. B and Marcus , L. 1967 . Foundations of Optimal Control Theory , London : Wiley .
  • Tikhonov , N. and Arsenin , V. Y. 1977 . Solutions of Ill-posed Problems , Washington, DC : V. H. Winston and Sons .
  • Ursell , F. 1978 . On the exterior problems of accoustics II . Math. Proc. Cambridge Philos. Soc , 84 : 545 – 548 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.