Characterizations of adjoint Sobolev embedding operators with applications in inverse problems
DOI10.1553/etna_vol59s116arXiv2202.05101MaRDI QIDQ6146168
Ronny Ramlau, Simon Hubmer, Ekaterina Sherina
Publication date: 5 February 2024
Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.05101
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52) Applications of functional analysis in numerical analysis (46N40)
Cites Work
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- Some generalizations for Landweber iteration for nonlinear ill-posed problems in Hilbert scales
- Theory of Bessel potentials. I
- Regularization properties of Tikhonov regularization with sparsity constraints
- Iterative regularization methods for nonlinear ill-posed problems
- Cone conditions and properties of Sobolev spaces
- Elliptic partial differential equations of second order
- On Landweber iteration for nonlinear ill-posed problems in Hilbert scales
- Regularization of inverse problems by filtered diagonal frame decomposition
- AIR tools II: algebraic iterative reconstruction methods, improved implementation
- Preconditioning Landweber iteration in Hilbert scales
- The Mathematics of Computerized Tomography
- Tikhonov regularisation for non-linear ill-posed problems: optimal convergence rates and finite-dimensional approximation
- Eigenvalues of the Laplacian in Two Dimensions
- When Do Sobolev Spaces Form a Hilbert Scale?
- Ten Lectures on Wavelets
- Regularity and perturbation results for mixed second order elliptic problems
- Limited-angle acousto-electrical tomography
- On regularization via frame decompositions with applications in tomography
- SCALES OF BANACH SPACES
- Equivalent Norms for Sobolev Spaces
- An Iteration Formula for Fredholm Integral Equations of the First Kind
- Frame decompositions of bounded linear operators in Hilbert spaces with applications in tomography
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