Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds
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Publication:2709431
DOI10.1090/memo/0713zbMath1003.35001OpenAlexW2041617145MaRDI QIDQ2709431
Dorina Mitrea, Marius Mitrea, Michael E. Taylor
Publication date: 26 July 2001
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/memo/0713
Dirichlet problemSchrödinger operatorboundary value problemsMaxwell's equationsFredholm operatorpseudodifferential operatorsHodge LaplacianLipschitz boundariessecond-order elliptic operatorsCalderon's projectiondouble and single layer potentialsglobal representation formualesubdomains of Riemannian and Lipschitz manifolds
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Elliptic equations on manifolds, general theory (58J05) Hodge theory in global analysis (58A14) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Boundary value problems on manifolds (58J32) Electro- and magnetostatics (78A30) Integral equations with kernels of Cauchy type (45E05) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Potential theory on Riemannian manifolds and other spaces (31C12)
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