On the \(X_{\theta(\cdot)}\)-valued function space: definition, property and applications

DOI10.1016/J.JMAA.2016.03.026zbMath1412.46047OpenAlexW2298628838MaRDI QIDQ269411

Gang Li, Qing-Hua Zhang

Publication date: 18 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.03.026

zbMATH Keywords

\(L^p\)-maximal regularitysectorial operatorabstract evolution equation\(X_{\theta(\cdot)}\)-valued function spaceBochner-Lebesgue space with variable exponentdomain-varying nonlinearity

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Nonlinear evolution equations (47J35)

Related Items (4)

Classification and geometrical properties of the \(X_{\theta(\cdot)}\)-valued function spaces ⋮ Regular Banach space net and abstract-valued Orlicz space of range-varying type ⋮ Abstract-valued Orlicz spaces of range-varying type ⋮ Boundedness of singular integral operators with operator-valued kernels and maximal regularity of sectorial operators in variable Lebesgue spaces

Cites Work

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• Well-posedness and large-time behaviors of solutions for a parabolic equation involving \(p(x)\)-Laplacian
• Anisotropic parabolic equations with variable nonlinearity
• Doubly nonlinear parabolic equations involving variable exponents

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