Fredholm Integral Neural Operators are universal approximators of integral operators and are guaranteed to be contractive, enabling reliable solution operator learning for FIEs and PDEs.
Layer potentials and regularity for the dirichlet problem for laplace’s equation in lipschitz domains.Journal of functional analysis, 59(3):572–611
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Learning Contractive Integral Operators with Fredholm Integral Neural Operators
Fredholm Integral Neural Operators are universal approximators of integral operators and are guaranteed to be contractive, enabling reliable solution operator learning for FIEs and PDEs.