Regularity and capacity for the fractional dissipative operator

DOI10.1016/j.jde.2015.04.033zbMath1333.35324arXiv1212.0744OpenAlexW2963509345MaRDI QIDQ2355404

Zhichun Zhai, Jie Xiao, Da Chun Yang, Ren Jin Jiang

Publication date: 23 July 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.0744

zbMATH Keywords

regularitycapacityHausdorff dimensionblow-up setfractional dissipative equation/operator

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Heat equation (35K05) Potentials and capacities on other spaces (31C15) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)

Related Items (12)

A capacity associated with the weighted Lebesgue space and its applications ⋮ Application of capacities to space–time fractional dissipative equations I: regularity and the blow-up set ⋮ Besov capacity for a class of nonlocal hypoelliptic operators and its applications ⋮ BV capacity and perimeter in abstract Wiener spaces and applications ⋮ Capacities and embeddings of Besov spaces via general convolution kernels ⋮ BV capacity and Sobolev capacity for the Laguerre operator ⋮ Capacity \& perimeter from \(\alpha\)-Hermite bounded variation ⋮ \(L^q\)-extensions of \(L^p\)-spaces by fractional diffusion equations ⋮ A tracing of the fractional temperature field ⋮ Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations ⋮ Fractional heat equation with singular nonlinearity ⋮ BV capacity for the Schrödinger operator with an inverse-square potential

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