Abstract
In this paper we consider the initial boundary value problem of a hyperbolic-parabolic type system for image inpainting in a 2-D bounded domain, and establish the existence of weak solutions to the system by employing the method of vanishing viscosity.
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Supported by National Natural Science Foundation of China (Grant Nos. 11101218, 11071119) and Natural Science Foundation for Colleges and Universities in Jiangsu Province of China (Grant No. 11KJB110009)
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Jin, Z.M., Yang, X.P. Analysis of a hyperbolic-parabolic type system for image inpainting. Acta. Math. Sin.-English Ser. 28, 1663–1676 (2012). https://doi.org/10.1007/s10114-012-9766-2
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DOI: https://doi.org/10.1007/s10114-012-9766-2