| Abstract: |
| In this work, we prove the qualitative properties as existence, uniqueness, regularity, and stabilization of the weak solution to the doubly nonlinear parabolic problem involving general $p(x)$-homogeneous operators involving both autonomous and non-autonomous terms. In this study, a Picone`s identity for $p(x)$-homogeneous operators plays an important role in bringing comparison principle, accretive type properties. |
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