Affiliation:
1. Universite 20 aout 1955
Abstract
My abstract is:This paper is devoted to the study of the existence of weak solutionsfor quasilinear systems of a partial dierential equations which are the combinationof the Perona-Malik equation and the Heat equation. The proof of the main resultsare based on the compactness method and the motonocity arguments.
Publisher
Sociedade Paranaense de Matematica
Reference14 articles.
1. A. Atlas, F. Karami, D. Meskine, The Perona-Malik inequality and application to image denoising, Nonlinear Analysis: Real World Applications, 18, 57-68, (2014). https://doi.org/10.1016/j.nonrwa.2013.11.006
2. M. Biegert, M. Warma, The heat equation with nonlinear generalized Robin boundary conditions, J. Differential Equations, 247, 1949-1979, (2009). https://doi.org/10.1016/j.jde.2009.07.017
3. Th. Gallouet, O. Kavian, Resultats d'existence et de non-existence pour certains problemes demi-lineares a l'infini, Ann. Fac. Sci. de Toulouse Math, 5(3), 201-246, (1981). https://doi.org/10.5802/afst.568
4. P. Guidotti, A bakward-forward regularization of the Perona-Malik equation, J. Differential Equations 252(4), 3226-3244, (2012). https://doi.org/10.1016/j.jde.2011.10.022
5. H. Lakehal, B. Khodja, W. Gharbi, Existence results of nontrivial solutions for a semi linear elliptic system at resonance, Journal of Advanced Research in Dynamical and Control Systems, 5(3), 1-12, (2013).
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