PORTUGALIAEMATHEMATICA
Vol. 52, No. 3, pp. 343-355 (1995)
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PORTUGALIAE MATHEMATICA Vol. 52, No. 3, pp. 343-355 (1995) |
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A Wave Equation with a Dirac DistributionYvan MartelLaboratoire d'Analyse Numérique, Université Pierre et Marie Curie,4, place Jussieu, 75252 Paris Cedex 05 - FRANCE Abstract: The sine-Gordon equation including a Dirac distribution: $u_{tt}-u_{xx}+\sin u=\delta_a\sin u$ models the interaction between a soliton and a local impurity occuring during transmission through disordered media. Here, we study the Cauchy problem for this equation and we show the existence and uniqueness of a solution in the energy space. Full text of the article:
Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.
© 1995 Sociedade Portuguesa de Matemática
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