Explicit formulas for complementary boundary operators of linear elliptic problems. I: The half-space case

DOI10.1016/0022-0396(82)90099-7zbMath0507.35027OpenAlexW1965260489MaRDI QIDQ1837336

R. N. Pederson

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0022-0396(82)90099-7

zbMATH Keywords

half-spacewell-posedcomplementary boundary operatorsFourier transforms with respect to the transversal coordinatesglobal extension of the boundary operators

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) General theory of PDEs and systems of PDEs with constant coefficients (35E20)

Cites Work

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• Weak limit directions of plane sets and the Schiffer fundamental lemma
• Pseudo-differential operators and non-elliptic boundary problems
• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
• CONJUGATE PROBLEMS OF ELLIPTIC DIFFERENTIAL AND PSEUDODIFFERENTIAL BOUNDARY VALUE PROBLEMS IN A BOUNDED DOMAIN

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