A weak solution for the fractional \(N\)-Laplacian flow

DOI10.1007/s13324-023-00866-yOpenAlexW4390945176WikidataQ129749298 ScholiaQ129749298MaRDI QIDQ6119210

Tacksun Jung, Q-Heung Choi

Publication date: 29 February 2024

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-023-00866-y

zbMATH Keywords

Orlicz spaceapproximation method\(N\)-functionYoung functionparabolic problemsfractional Orlicz-Sobolev spaceapproximating weak solutiondifference fractional \(N\)-Laplacian operatorsfractional \(N\)-Laplacian heat flow

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximum principles in context of PDEs (35B50) Weak solutions to PDEs (35D30) Other special methods applied to PDEs (35A25) Fractional partial differential equations (35R11) Quasilinear parabolic equations (35K59)

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