Fritz John pp 319-334 | Cite as

The Initial Value Problem for Maxwell’s Equations for Two Media Separated by a Plane

Dedicated to Hans Rademacher on the occasion of his seventieth birthday
  • Fritz John
Part of the Contemporary Mathematicians book series (CM)


Let the column vectors
$$ E = \left( {\begin{array}{*{20}{c}} {{E_1}} \\ {{E_2}} \\ {{E_3}} \end{array}} \right),H = \left( {\begin{array}{*{20}{c}} {{H_1}} \\ {{H_2}} \\ {{H_3}} \end{array}} \right) $$
describe an electromagnetic field. Denoting the space coordinates by x 1, x 2, x 3 and the time by t we put
$$ \xi i = \partial /\partial {{\mathbf{x}}_i},\tau = \partial /\partial t $$


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Copyright information

© Springer Science+Business Media New York 1985

Authors and Affiliations

  • Fritz John
    • 1
  1. 1.New York UniversityNew YorkUSA

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