Geodesic
Some results on existence and regularity for non-linear p(x)-parabolic equations with quadratic growth with respect to the gradient and general data
Filomat, Tome 37 (2023) no. 22, p. 7559

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DOI

This work investigates the regularity of solutions to a nonlinear parabolic equation with perturbations and general measure data. Our approach involves a combination of convergence and compactness techniques in variable exponent Sobolev spaces.
DOI : 10.2298/FIL2322559S
Classification : 26A33;34B15, 34G20, 47H10
Keywords: Regularity, Existence, A priori estimates, p(·)-parabolic capacity 
Abdelaziz Sabiry; Ghizlane Zineddaine; Said Melliani; Abderrazak Kassidi. Some results on existence and regularity for non-linear p(x)-parabolic equations with quadratic growth with respect to the gradient and general data. Filomat, Tome 37 (2023) no. 22, p. 7559 . doi: 10.2298/FIL2322559S
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     title = {Some results on existence and regularity for non-linear p(x)-parabolic equations with quadratic growth with respect to the gradient and general data},
     journal = {Filomat},
     pages = {7559 },
     year = {2023},
     volume = {37},
     number = {22},
     doi = {10.2298/FIL2322559S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2322559S/}
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