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Open Access Research

An anisotropic quasilinear problem with perturbations

Jie Rui12 and Jianguo Si1*

Author Affiliations

1 School of Mathematics, Shandong University, Jinan, Shandong, 250100, P.R. China

2 College of Science, China University of Petroleum (East China), Qingdao, Shandong, 266555, P.R. China

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Boundary Value Problems 2013, 2013:147  doi:10.1186/1687-2770-2013-147

Published: 18 June 2013

Abstract

This work focuses on proving the existence and uniqueness of strong solutions of perturbed anisotropic total variation flow with the Neumann boundary condition when the initial data is an <a onClick="popup('http://www.boundaryvalueproblems.com/content/2013/1/147/mathml/M1','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2013/1/147/mathml/M1">View MathML</a> function.

MSC: 35K65, 35K55.

Keywords:
anisotropic total variation flow; semigroups; strong solution