Some results on existence and regularity for non-linear p(x)-parabolic equations with quadratic growth with respect to the gradient and general data
Abdelaziz Sabiry,
Ghizlane Zineddaine,
Said Melliani
et al.
Abstract: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.
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