Geometric BVPs, Hardy spaces, and the Cauchy integral and transform on regions with corners
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Publication:2642066
DOI10.1016/j.jde.2007.04.003zbMath1132.58015OpenAlexW2165923102MaRDI QIDQ2642066
Publication date: 20 August 2007
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2007.04.003
Cauchy integralboundary value problemsCauchy transformFredholm theorymanifolds with cornersCalderón projectorDirac-type operators
Eta-invariants, Chern-Simons invariants (58J28) Determinants and determinant bundles, analytic torsion (58J52)
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Cites Work
- Cauchy transform and rectifiability in Clifford analysis
- An introduction to Dirac operators on manifolds
- A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order
- Elliptic boundary problems on manifolds with polycylindrical ends
- Boundary value problems in spaces of distributions on smooth and polygonal domains
- Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
- Complete Mellin and Green symbolic calculus in spaces with conormal asymptotics
- The Cauchy kernel, the Szegö kernel, and the Riemann mapping function
- Transformation of boundary problems
- L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
- Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
- Potential techniques for boundary value problems on \(C^1\)-domains
- Estimates of harmonic measure
- Clifford wavelets, singular integrals, and Hardy spaces
- Clifford algebras, Fourier transforms and singular convolution operators on Lipschitz surfaces
- Convolution operators on Lipschitz graphs with harmonic kernels
- Boundary value problems with global projection conditions.
- Szegö and Bergman projections on non-smooth planar domains
- The Calderón projector for an elliptic operator in divergence form.
- Szegő projections for Hardy spaces of monogenic functions and applications
- Zero sets of solutions to semilinear elliptic systems of first order
- Trace expansions for pseudodifferential boundary problems for Dirac-type operators and more general systems
- Analytic surgery and the eta invariant
- Harmonic spinors
- Clifford analysis: History and perspective
- The inhomogeneous Dirichlet problem in Lipschitz domains
- On the existence of small-time heat expansions for operators with irregular singularities in the coefficients
- Functional calculus of pseudodifferential boundary problems.
- Intrinsic Dirac operators in \(\mathbb{C}^ n\)
- Sobolev spaces on Lie manifolds and regularity for polyhedral domains
- Clifford Cauchy type integrals on Ahlfors-David regular surfaces in \(\mathbb R^{m+1}\)
- On regular-analytic functions with values in a Clifford-algebra
- Multivector functions
- Boundary problems for pseudo-differential operators
- On the asymptotic behavior of resolvent kernels for elliptic operators
- Über die Funktionentheorie in einer hyperkomplexen Algebra
- Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds
- Two Elementary Proofs of the L 2 Boundedness of Cauchy Integrals on Lipschitz Curves
- EDGE OPERATORS WITH CONDITIONS OF TOEPLITZ TYPE
- Weighted Cauchy transforms in Clifford analysis
- The Cauchy Integral, Calderon Commutators, and Conjugations of Singular Integrals in R n
- The Neumann problem on Lipschitz domains
- Elliptic theory of differential edge operators I
- Convolution Singular Integrals on Lipschitz Surfaces
- Cauchy integrals on Lipschitz curves and related operators
- Well-posedness in Sobolev spaces of the full water wave problem in 3-D
- On Bojarski’s index formula for nonsmooth interfaces
- Szego projection versus potential theory for non-smooth planar domains
- Elliptic Boundary Problems and the Boutet de Monvel Calculus in Besov and Triebel-Lizorkin Spaces.
- The octonions
- Commutators and singular integral operators in Clifford analysis
- Singular Integrals and Boundary Value Problems
- The index of elliptic operators on compact manifolds
- An algebra of boundary value problems not requiring Shapiro-Lopatinskij conditions
- Generalized Dirac operators on nonsmooth manifolds and Maxwell's equations
- The structure of the resolvent of elliptic pseudodifferential operators
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