On the Representation of Solutions to Elliptic PDEs in Barron Spaces

Keyphrases

• Partial Differential Equations 100%
• Elliptic Partial Differential Equations 100%
• Solution Representation 100%
• Barron Space 100%
• Complex Estimation 66%
• Barra 66%
• Neural Network 33%
• Numerical Solution 33%
• Equation-based 33%
• Source Term 33%
• Approximate Solution 33%
• Convergence Rate 33%
• Probability Measure 33%
• Bounded Domain 33%
• Function Set 33%
• Explicit Bounds 33%
• Ridge Functions 33%
• Two-layer Neural Network 33%
• High-dimensional Partial Differential Equations 33%
• Second-order Elliptic 33%

Mathematics

• PDE 100%
• Representation of Solutions 100%
• Neural Network 28%
• Parametric 14%
• Probability Measure 14%
• Bounded Domain 14%
• Direct Consequence 14%
• Ridge Functions 14%
• Numerical Solution 14%
• Convergence Rate 14%
• Source Term 14%
• Approximate Solution 14%
• Integral 14%