Symmetry problem 1

Authors

  • Alexander G. Ramm Department of Mathematics, Kansas State University 

DOI:

https://doi.org/10.24297/jam.v15i0.7945

Abstract

A symmetry problem is solved. A new method is used. The idea of this methodis to reduce to a contradiction the PDE and the over-determined boundary data on the boundary.The new method allows one to solve other symmetry problems.

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Author Biography

  • Alexander G. Ramm, Department of Mathematics, Kansas State University 

    Department of Mathematics  Kansas State University  Manhattan, KS 66506-2602 USA

References

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A. G. Ramm, Symmetry problem, Proc. Amer. Math. Soc., 141, N2,(2013), 515-521.

A. G. Ramm, The Pompeiu problem, Global Journ. of Math. Analysis (GJMA), 1, N1, (2013), 1-10.

Open access Journal:

http://www.sciencepubco.com/index.php/GJMA/issue/current

A. G. Ramm, A symmetry result for strictly convex domains, Analysis, 35 (1), (2015), 29-32.

A. G. Ramm, Solution to the Pompeiu problem and the related symmetry problem, Appl. Math. Lett., 63, (2017),

-33.

A. G. Ramm, Scattering by obstacles, D.Reidel, Dordrecht, 1986.

A. G. Ramm, Scattering by obstacles and potentials, World Sci. Publ., Singapore, 2017.

A. G. Ramm, Necessary and sucient condition for a surface to be a sphere, Open J. Math. Anal., 2, (2018),

issue 2, 51-52.

Open access: https://pisrt.org/psr-press/journals/oma/

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Published

2018-12-01

Issue

Section

Editorial

How to Cite

Symmetry problem 1. (2018). JOURNAL OF ADVANCES IN MATHEMATICS, 15, 8093-8097. https://doi.org/10.24297/jam.v15i0.7945