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Some Properties of Solutions of a Fourth-Order Parabolic Equation for Image Processing

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Abstract

In this paper, for the IBVP of a fourth-order nonlinear parabolic equation, which is related to image analysis, we studied the existence and uniqueness of weak solutions. Moreover, we also considered the asymptotic behavior and the regularity of solutions of such problem.

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Correspondence to Changchun Liu.

Additional information

Communicated by Yong Zhou.

This work is supported by the Jilin Scientific and Technological Development Program (No. 20170101143JC).

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Liu, C., Jin, M. Some Properties of Solutions of a Fourth-Order Parabolic Equation for Image Processing. Bull. Malays. Math. Sci. Soc. 43, 333–353 (2020). https://doi.org/10.1007/s40840-018-0684-z

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  • DOI: https://doi.org/10.1007/s40840-018-0684-z

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