Domains of fractional powers of operators arising in mixed boundary value problems in non–smooth domains and applications

DOI10.1080/00036819408840291zbMath0831.47038OpenAlexW2041539613WikidataQ58248715 ScholiaQ58248715MaRDI QIDQ4854497

Jacek Banasiak

Publication date: 18 February 1996

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819408840291

zbMATH Keywords

regularitySobolev spacesolvabilitydomains of fractional powerselliptic and parabolic problemsselfadjoint second order mixed boundary value problems in non-smooth domains

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) One-parameter semigroups and linear evolution equations (47D06) Functional calculus for linear operators (47A60) General theory of partial differential operators (47F05) Interpolation between normed linear spaces (46B70)

Related Items (1)

Strong solutions of the Navier-Stokes equations for a compressible fluid of Allen-Cahn type

Cites Work

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• On mixed boundary value problems of Dirichlet oblique-derivative type in plane domains with piecewise differentiable boundary
• Regularization of mixed second-order elliptic problems
• On corner singularities of solutions to mixed boundary-value problems for second-order elliptic and parabolic equations

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