Quantitative analysis for $L^2$-estimates in linear elliptic equations via divergence-free transformation
Fuente:
arXiv
Saved in:
| Main Author: | Lee, Haesung |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Robust error estimates of PINN in one-dimensional boundary value problems for linear elliptic equations
by: Yoo, Jihahm, et al.
Published: (2024)
by: Yoo, Jihahm, et al.
Published: (2024)
Remarks on well-posedness for linear elliptic equations via divergence-free transformation
by: Lee, Haesung
Published: (2026)
by: Lee, Haesung
Published: (2026)
Analysis of linear elliptic equations with general drifts and $L^1$-zero-order terms
by: Lee, Haesung
Published: (2024)
by: Lee, Haesung
Published: (2024)
Resolvent approaches to elliptic regularity in stationary Fokker-Planck equations
by: Lee, Haesung
Published: (2026)
by: Lee, Haesung
Published: (2026)
Well-posedness of linear elliptic equations with $L^d$-drifts under divergence-type conditions
by: Lee, Haesung
Published: (2026)
by: Lee, Haesung
Published: (2026)
Rate of convergence for numerical $α$-dissipative solutions of the Hunter-Saxton equation
by: Christiansen, Thomas, et al.
Published: (2024)
by: Christiansen, Thomas, et al.
Published: (2024)
Mesh-free numerical method for Dirichlet eigenpairs of the Laplacian with potential
by: Manea, Dragoş
Published: (2026)
by: Manea, Dragoş
Published: (2026)
Quantitative weak-BV stability of "wild'' solutions to compressible Euler equations, with a view towards higher systems
by: Chen, Geng, et al.
Published: (2025)
by: Chen, Geng, et al.
Published: (2025)
Extension and neural operator approximation of the electrical impedance tomography inverse map
by: de Hoop, Maarten V., et al.
Published: (2025)
by: de Hoop, Maarten V., et al.
Published: (2025)
Operator Inference for Elliptic Eigenvalue Problems
by: Li, Haoqian, et al.
Published: (2025)
by: Li, Haoqian, et al.
Published: (2025)
FieldTNN-based machine learning method for Maxwell eigenvalue problems
by: Jiang, Jiantao, et al.
Published: (2024)
by: Jiang, Jiantao, et al.
Published: (2024)
FEM for 1D-problems involving the logarithmic Laplacian: error estimates and numerical implementation
by: Hernández-Santamaría, Víctor, et al.
Published: (2023)
by: Hernández-Santamaría, Víctor, et al.
Published: (2023)
Theory of shifts, shocks, and the intimate connections to $L^2$-type a posteriori error analysis of numerical schemes for hyperbolic problems
by: Giesselmann, Jan, et al.
Published: (2023)
by: Giesselmann, Jan, et al.
Published: (2023)
Solutions to conservation laws are Hölder-stable in $L^2$ in the weak-BV setting
by: Chen, Geng, et al.
Published: (2025)
by: Chen, Geng, et al.
Published: (2025)
Multi-term fractional linear equations modeling oxygen subdiffusion through capillaries
by: Pata, Vittorino, et al.
Published: (2022)
by: Pata, Vittorino, et al.
Published: (2022)
Expression Rates of Neural Operators for Linear Elliptic PDEs in Polytopes
by: Marcati, Carlo, et al.
Published: (2024)
by: Marcati, Carlo, et al.
Published: (2024)
A PINNs approach for the computation of eigenvalues in elliptic problems
by: Bonder, Julian Fernandez, et al.
Published: (2025)
by: Bonder, Julian Fernandez, et al.
Published: (2025)
Stabilizer-free Weak Galerkin Methods for Quad-Curl Problems on polyhedral Meshes without Convexity Assumptions
by: Wang, Chunmei, et al.
Published: (2025)
by: Wang, Chunmei, et al.
Published: (2025)
Isogeometric analysis of the Laplace eigenvalue problem on circular sectors: Regularity properties, graded meshes & variational crimes
by: Apel, Thomas, et al.
Published: (2024)
by: Apel, Thomas, et al.
Published: (2024)
A Nonoverlapping Domain Decomposition Method for Extreme Learning Machines: Elliptic Problems
by: Lee, Chang-Ock, et al.
Published: (2024)
by: Lee, Chang-Ock, et al.
Published: (2024)
Error Analysis of Three-Layer Neural Network Trained with PGD for Deep Ritz Method
by: Jiao, Yuling, et al.
Published: (2024)
by: Jiao, Yuling, et al.
Published: (2024)
Finite-difference least square methods for solving Hamilton-Jacobi equations using neural networks
by: Esteve-Yagüe, Carlos, et al.
Published: (2024)
by: Esteve-Yagüe, Carlos, et al.
Published: (2024)
Range of the first three eigenvalues of the planar Dirichlet Laplacian
by: Levitin, Michael, et al.
Published: (2002)
by: Levitin, Michael, et al.
Published: (2002)
Local elliptic regularity for solutions to stationary Fokker-Planck equations via Dirichlet forms and resolvents
by: Lee, Haesung
Published: (2024)
by: Lee, Haesung
Published: (2024)
Fast Bellman algorithm for real Monge-Ampere equation
by: Le, Aleksandra, et al.
Published: (2025)
by: Le, Aleksandra, et al.
Published: (2025)
Deep asymptotic expansion method for solving singularly perturbed time-dependent reaction-advection-diffusion equations
by: Zhu, Qiao, et al.
Published: (2025)
by: Zhu, Qiao, et al.
Published: (2025)
Efficient Weak Galerkin Finite Element Methods for Maxwell Equations on polyhedral Meshes without Convexity Constraints
by: Wang, Chunmei, et al.
Published: (2024)
by: Wang, Chunmei, et al.
Published: (2024)
Interior penalty discontinuous Galerkin methods for the nearly incompressible elasticity eigenvalue problem with heterogeneous media
by: Khan, Arbaz, et al.
Published: (2024)
by: Khan, Arbaz, et al.
Published: (2024)
Neural Preconditioned Born Series: A Metric-Matched Framework for Learning-based Preconditioners
by: Wang, Juntao, et al.
Published: (2026)
by: Wang, Juntao, et al.
Published: (2026)
A numerical view on α-dissipative solutions of the Hunter-Saxton equation
by: Christiansen, Thomas, et al.
Published: (2024)
by: Christiansen, Thomas, et al.
Published: (2024)
Homogenization of nondivergence-form elliptic equations with discontinuous coefficients and finite element approximation of the homogenized problem
by: Sprekeler, Timo
Published: (2023)
by: Sprekeler, Timo
Published: (2023)
Convergence of the Dirichlet-Neumann method for semilinear elliptic equations
by: Engström, Emil
Published: (2024)
by: Engström, Emil
Published: (2024)
Least Squares with Equality constraints Extreme Learning Machines for the resolution of PDEs
by: De Falco, Davide Elia, et al.
Published: (2025)
by: De Falco, Davide Elia, et al.
Published: (2025)
Nonconforming virtual element method for the Monge-Ampère equation
by: Congreve, Scott, et al.
Published: (2026)
by: Congreve, Scott, et al.
Published: (2026)
Performance of Neural and Polynomial Operator Surrogates
by: Westermann, Josephine, et al.
Published: (2026)
by: Westermann, Josephine, et al.
Published: (2026)
Deep neural networks with ReLU, leaky ReLU, and softplus activation provably overcome the curse of dimensionality for Kolmogorov partial differential equations with Lipschitz nonlinearities in the $L^p$-sense
by: Ackermann, Julia, et al.
Published: (2023)
by: Ackermann, Julia, et al.
Published: (2023)
Machine Learning-based quadratic closures for non-intrusive Reduced Order Models
by: Codega, Gabriele, et al.
Published: (2025)
by: Codega, Gabriele, et al.
Published: (2025)
Harnack inequality for parabolic equations in double-divergence form with singular lower order coefficients
by: Gyöngy, Istvan, et al.
Published: (2024)
by: Gyöngy, Istvan, et al.
Published: (2024)
Error analysis of the Lie splitting for semilinear wave equations with finite-energy solutions
by: Ruff, Maximilian, et al.
Published: (2023)
by: Ruff, Maximilian, et al.
Published: (2023)
Machine learning on manifolds for inverse scattering: Lipschitz stability analysis
by: Ganesh, Mahadevan, et al.
Published: (2025)
by: Ganesh, Mahadevan, et al.
Published: (2025)
Similar Items
-
Robust error estimates of PINN in one-dimensional boundary value problems for linear elliptic equations
by: Yoo, Jihahm, et al.
Published: (2024) -
Remarks on well-posedness for linear elliptic equations via divergence-free transformation
by: Lee, Haesung
Published: (2026) -
Analysis of linear elliptic equations with general drifts and $L^1$-zero-order terms
by: Lee, Haesung
Published: (2024) -
Resolvent approaches to elliptic regularity in stationary Fokker-Planck equations
by: Lee, Haesung
Published: (2026) -
Well-posedness of linear elliptic equations with $L^d$-drifts under divergence-type conditions
by: Lee, Haesung
Published: (2026)