On some consequences of the solvability of the Caffarelli-Silvestre extension problem

DOI10.1007/978-3-030-51945-2_22zbMath1494.47078OpenAlexW3142701792MaRDI QIDQ1980927

Jan Meichsner, Christian Seifert

Publication date: 9 September 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-51945-2_22

zbMATH Keywords

fractional powersDirichlet-to-Neumann operatornon-negative operator

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Fractional derivatives and integrals (26A33) Functional calculus for linear operators (47A60) Linear differential equations in abstract spaces (34G10) Sectorial operators (47B12)

Cites Work

• Unnamed Item
• Extension problem and fractional operators: semigroups and wave equations
• Fractional powers of closed operators and the semigroups generated by them
• On the harmonic extension approach to fractional powers in Banach spaces
• Extension Problem and Harnack's Inequality for Some Fractional Operators
• Vector-valued Laplace Transforms and Cauchy Problems
• An Extension Problem Related to the Fractional Laplacian

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