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Regularity in Lp Sobolev spaces of solutions to fractional heat equations

Article ID Journal Published Year Pages File Type
8896696 Journal of Functional Analysis 2018 27 Pages PDF
Abstract
2) Let Ω be smooth bounded, and let P equal (−Δ)a (01/p (where d(x)=dist(x,∂Ω)). The interior regularity of u is lifted when f is more smooth.
Keywords
47G3035k2535K0560G52Pseudodifferential operatorDirichlet conditionStable processFractional Laplacian
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Regularity in Lp Sobolev spaces of solutions to fractional heat equations
Authors
Gerd Grubb,
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Journal
Journal of Functional Analysis
Journal: Journal of Functional Analysis
Related Categories
47G30
35k25
35K05
60G52
Pseudodifferential operator
Dirichlet condition
Stable process
Fractional Laplacian
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
Theoretical Computer Science
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Journal of Symbolic Computation
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