Spectral analysis of the elliptic sine-Gordon equation in the quarter planePelloni, B. (2009) Spectral analysis of the elliptic sine-Gordon equation in the quarter plane. Theoretical and Mathematical Physics, 160 (1). pp. 1031-1041. ISSN 0040-5779 Full text not archived in this repository. It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. Official URL: http://www.springerlink.com/content/26l450817553w2... Abstract/SummaryWe study the elliptic sine-Gordon equation in the quarter plane using a spectral transform approach. We determine the Riemann-Hilbert problem associated with well-posed boundary value problems in this domain and use it to derive a formal representation of the solution. Our analysis is based on a generalization of the usual inverse scattering transform recently introduced by Fokas for studying linear elliptic problems.
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