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

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:

 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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### References:

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