Geodesic
Quasilinear Parabolic Problem with $p(x)$-Laplacian Operator by Topological Degree
Kragujevac Journal of Mathematics, Tome 47 (2023) no. 4, p. 523 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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We prove the existence of a weak solution for the quasilinear parabolic initial boundary value problem associated to the equation $ u_{t}-\Delta_{p(x)}u=h, $ by using the Topological degree theory for operators of the form $L+S$, where $L$ is a linear densely defined maximal monotone map and $S$ is a bounded demicontinuous map of class $(S_+)$ with respect to the domain of $L$.
Classification : 35K59 46E35, 47H11, DOI
Keywords: quasilinear parabolic problems, variable exponents, topological degree, $p(x)$-Laplacian 
@article{KJM_2023_47_4_a2,
     author = {Mustapha Ait Hammou},
     title = {Quasilinear {Parabolic} {Problem} with $p(x)${-Laplacian} {Operator} by {Topological} {Degree}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {523 },
     year = {2023},
     volume = {47},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2023_47_4_a2/}
}
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Mustapha Ait Hammou. Quasilinear Parabolic Problem with $p(x)$-Laplacian Operator by Topological Degree. Kragujevac Journal of Mathematics, Tome 47 (2023) no. 4, p. 523 . http://geodesic.mathdoc.fr/item/KJM_2023_47_4_a2/