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Fritz John pp 371-384 | Cite as

The Dirichlet Problem for a Hyperbolic Equation

  • Fritz John
Part of the Contemporary Mathematicians book series (CM)

Abstract

This paper deals with the Dirichlet problem for the hyperbolic differential equation
$${U_{xy}} = 0$$
(1)
i. e. with the problem of determining a solution u of (1) from given values on a closed curve C.1 Simple examples show that the Dirichlet problem for a hyperbolic equation has a completely different character from that of the corresponding problem for an elliptic equation such as the potential equation
$${U_{xx}} + {U_{yy}} = 0$$
(2)

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Copyright information

© Springer Science+Business Media New York 1985

Authors and Affiliations

  • Fritz John

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