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Zbl 1194.35503
Jin, Zhengmeng; Yang, Xiaoping
Strong solutions for the generalized Perona-Malik equation for image restoration. (English)
[J] Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 4, 1077-1084 (2010). ISSN 0362-546X

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.
MSC 2000:
*35R30 Inverse problems for PDE
35K35 Higher order parabolic equations, boundary value problems
35K55 Nonlinear parabolic equations
68U10 Image processing

Keywords: existence; uniqueness; Perona-Malik equation; image restoration

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