Electron. J. Differential Equations, Vol. 2018 (2018), No. 146, pp. 1-18.

A shape-derivative approach to some PDE model in image restoration

Carla Baroncini, Julian Fernandez Bonder

Abstract:
In this paper we analyze the shape derivative of a cost functional appearing in image restoration. The main feature of this cost functional is the appearance of a variable exponent.

Submitted February 26, 2018. Published July 25, 2018.
Math Subject Classifications: 49Q10, 49J45.
Key Words: Shape optimization; sensitivity analysis; nonstandard growth.

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  Carla Baroncini
IMAS - CONICET and Departamento de Matemática
FCEyN - Universidad de Buenos Aires
Ciudad Universitaria, Pabellón I (1428)
Buenos Aires, Argentina
email: cbaronci@dm.uba.ar
Julián Fernández Bonder
IMAS - CONICET and Departamento de Matemática
FCEyN - Universidad de Buenos Aires
Ciudad Universitaria, Pabellón I (1428)
Buenos Aires, Argentina
email: jfbonder@dm.uba.ar
http://mate.dm.uba.ar/~jfbonder

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