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Jin, Zhengmeng; Yang, Xiaoping

Strong solutions for the generalized Perona-Malik equation for image restoration. (English) Zbl 1194.35503

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 4, 1077-1084 (2010).
Summary: We establish the existence and uniqueness of strong solutions for the generalized Perona-Malik equation of the fourth order for image restoration in dimension one.

Cited in 9 Documents

MSC:

35R30 Inverse problems for PDEs
35K35 Initial-boundary value problems for higher-order parabolic equations
35K55 Nonlinear parabolic equations
68U10 Computing methodologies for image processing

Keywords:

existence; uniqueness; Perona-Malik equation; image restoration
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\textit{Z. Jin} and \textit{X. Yang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 4, 1077--1084 (2010; Zbl 1194.35503)
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