We consider a parabolic transmission problem, involving nonlinear fractional operators of different order, across a fractal interface sigma. The transmission condition is of Robin type and it involves the jump of the p fractional normal derivatives on the irregular interface. After proving existence and uniqueness results for the weak solution of the problem at hand, via a semigroup approach, we investigate the regularity of the nonlinear fractional semigroup.
Transmission problems for the fractional p-Laplacian across fractal interfaces / Creo, Simone; Lancia, Maria Rosaria; Vernole, Paola. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - 0:0(2022), p. 0. [10.3934/dcdss.2022047]
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Titolo: | Transmission problems for the fractional p-Laplacian across fractal interfaces | |
Autori: | ||
Data di pubblicazione: | 2022 | |
Rivista: | ||
Citazione: | Transmission problems for the fractional p-Laplacian across fractal interfaces / Creo, Simone; Lancia, Maria Rosaria; Vernole, Paola. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - 0:0(2022), p. 0. [10.3934/dcdss.2022047] | |
Handle: | http://hdl.handle.net/11573/1633315 | |
Appartiene alla tipologia: | 01a Articolo in rivista |
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