Transmission problems for the fractional $ p $-Laplacian across fractal interfaces

نویسندگان

چکیده

We consider a parabolic transmission problem, involving nonlinear fractional operators of different order, across fractal interface \begin{document}$ \Sigma $\end{document}. The condition is Robin type and it involves the jump id="M3">\begin{document}$ p $\end{document}-fractional normal derivatives on irregular interface. After proving existence uniqueness results for weak solution problem at hand, via semigroup approach, we investigate regularity semigroup.

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ژورنال

عنوان ژورنال: Discrete and Continuous Dynamical Systems - Series S

سال: 2022

ISSN: ['1937-1632', '1937-1179']

DOI: https://doi.org/10.3934/dcdss.2022047