- Regularity and Neumann problems for operators with real coefficients satisfying Carleson conditions
2023/05/19 by Martin Dindoš, Steve Hofmann, Jill Pipher · 6 citations
Mathematics · #Advanced Harmonic Analysis Research #Boundary value problem #Combinatorics #Differential Equations and Boundary Problems #Dirichlet distribution #Dirichlet problem #Discrete mathematics #Domain (mathematical analysis) #Elliptic operator #Lipschitz continuity #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Nonlinear Partial Differential Equations #Norm (philosophy) #Operator (biology) #Operator norm #Operator theory #Pure mathematics
- K-homology classes of elliptic uniform pseudodifferential operators
2018/05/07 by Alexander Engel, Engel, Alexander · 1 citation
Chemistry · Computer Science · Engineering · Mathematics · #Advanced Operator Algebra Research #Bounded function #Chemistry #Class (philosophy) #Computer science #Differential Geometry (math.DG) #Elliptic operator #Engineering #FOS: Mathematics #Geometric Analysis and Curvature Flows #Homology (biology) #K-Theory and Homology (math.KT) #Manifold (fluid mechanics) #Mathematical analysis #Mathematics #Mechanical engineering #Operator (biology) #Pseudodifferential operators #Pure mathematics #Topological and Geometric Data Analysis #math.DG #math.KT
- A∞ implies NTA for a class of variable coefficient elliptic operators
2016/11/30 by Steve Hofmann, José María Martell, Tatiana Toro · 6 citations
Computer Science · Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Boundary (topology) #Class (philosophy) #Converse #Domain (mathematical analysis) #Eigenvalues and eigenvectors #Elliptic operator #Geometry #Mathematical analysis #Mathematics #Numerical methods in inverse problems #Pure mathematics #Transpose #Variable (mathematics) #math.AP #math.CA #msc:31B05 #msc:35J08 #msc:35J25 #msc:42B25 #msc:42B37 #msc:42B99
- Boundary Value Problems for Second‐Order Elliptic Operators Satisfying a Carleson Condition
2016/06/13 by Martin Dindoš, Jill Pipher, David Rule · 11 citations
Mathematics · #Advanced Harmonic Analysis Research #Boundary value problem #Differential Equations and Boundary Problems #Dirichlet distribution #Dirichlet problem #Divergence (linguistics) #Domain (mathematical analysis) #Elliptic operator #Lipschitz continuity #Lipschitz domain #Mathematical analysis #Mathematics #Neumann boundary condition #Nonlinear Partial Differential Equations #Norm (philosophy) #Operator (biology) #Order (exchange) #Pure mathematics
- Elliptic G-Operators on Manifolds with Isolated Singularities
2015/11/05 by Anton Savin, A. Yu. Savin, B. Yu. Sternin +1 · 1 citation
Mathematics · #Advanced Operator Algebra Research #Conical surface #Elliptic operator #Fredholm operator #Gravitational singularity #Holomorphic and Operator Theory #Manifold (fluid mechanics) #Operator (biology) #Principal part #Property (philosophy) #Spectral Theory in Mathematical Physics #Symbol (formal) #math.AP #math.OA #msc:35J70 #msc:46L89 #msc:58J20
- Almost monotonicity formulas for elliptic and parabolic operators with variable coefficients
2010/10/21 by Norayr Matevosyan, Arshak Petrosyan · 3 citations
Engineering · Mathematics · #Applied mathematics #Differential Equations and Boundary Problems #Elliptic operator #Mathematical analysis #Mathematics #Monotonic function #Numerical methods in engineering #Numerical methods in inverse problems #Variable (mathematics)
- Manifolds with positive curvature operators are space forms
2008/05/01 by Christoph Böhm, Burkhard Wilking · 3 citations
Mathematics · Medicine · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Neuroimaging Techniques and Applications #Mathematics #Scalar curvature #Curvature #Ricci curvature #Sectional curvature #Pure mathematics #Ricci flow #Mathematical analysis #Mean curvature flow #Space (punctuation) #Riemann curvature tensor #Elliptic operator #Geometry
- The Dirichlet problem in Lipschitz domains for higher order elliptic systems with rough coefficients
2007/01/31 by Vladimir Maz'ya, Vladimir Maz’ya, Marius Mitrea +4 · 2 citations
Computer Science · Mathematics · #35E05 #35G15 #35J40 #35J55 #35J67 #42B20 #46E39 #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Boundary (topology) #Boundary value problem #Bounded function #Bounded mean oscillation #Computer science #Dirichlet problem #Divergence (linguistics) #Elliptic operator #FOS: Mathematics #Isomorphism (crystallography) #Lipschitz continuity #Lipschitz domain #Mathematical analysis #Mathematics #Nonlinear Partial Differential Equations #Operator (biology) #Order (exchange) #Pure mathematics #Space (punctuation) #math.AP #msc:35E05 #msc:35G15 #msc:35J40 #msc:35J55 #msc:35J67 #msc:42B20 #msc:46E39
- Boundary value problems for elliptic partial differential operators on bounded domains
2006/11/29 by Jussi Behrndt, Matthias Langer · 15 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Boundary value problem #Bounded function #Differential equation #Differential operator #Eigenvalues and eigenvectors #Elliptic operator #Elliptic partial differential equation #Free boundary problem #Hilbert space #Mathematical analysis #Mathematics #Numerical methods in inverse problems #Operator (biology) #Partial differential equation #Poincaré–Steklov operator #Pure mathematics #Robin boundary condition #Semi-elliptic operator #Spectral Theory in Mathematical Physics #Symbol of a differential operator
- P-determinant regularization method for elliptic boundary problems
1994/07/01 by Oscar A. Barraza · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Operator Algebra Research #Applied mathematics #Boundary (topology) #Boundary value problem #Computer science #Differential operator #Elliptic operator #Mathematical analysis #Mathematics #Mixed boundary condition #Pure mathematics #Quotient #Regularization (linguistics) #Spectral Theory in Mathematical Physics
- Elliptic theory of differential edge operators I
1991/01/01 by Rafe Mazzeo · 4 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Asymptotic expansion #Constant coefficients #Differential operator #Elliptic operator #Enhanced Data Rates for GSM Evolution #Fredholm integral equation #Fredholm theory #Integral equation #Kernel (algebra) #Mathematical analysis #Mathematics #Nonlinear Partial Differential Equations #Operator (biology) #Operator theory #Parametrix #Pure mathematics #Semi-elliptic operator #Spectral Theory in Mathematical Physics
- Heat Kernels and Spectral Theory
1989/02/16 by E. B. Davies · 7 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Numerical methods in inverse problems #advanced mathematical theories #Heat kernel #Heat equation #Mathematics #Laplace transform #Differential operator #Spectral geometry #Elliptic operator #Spectral theory #Euclidean geometry #Brownian motion #Microlocal analysis #Mathematical analysis #Variable (mathematics) #Operator theory #Fourier integral operator #Hilbert space
- The spectral function of an elliptic operator
1968/01/01 by Lars Hörmander · 86 citations
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Algebraic and Geometric Analysis #Arithmetic #Asymptotic formula #Differential operator #Elliptic function #Elliptic operator #Finite-rank operator #Fourier series #Fourier transform #Function (biology) #Gravitational singularity #Mathematical analysis #Mathematics #Operator (biology) #Physics and Engineering Research Articles #Pure mathematics #Quasinormal operator #Remainder #Semi-elliptic operator #Spectral function #Spectral theory of ordinary differential equations