Proves the first universal approximation theorems for k-times differentiable nonlinear operators between Banach spaces and their derivatives uniformly on compact sets in weighted Sobolev norms via encoder-decoder operator learning architectures.
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2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2verdicts
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Existence and uniqueness of mild solutions to stationary HJB equations in separable Hilbert spaces holds for any discount factor lambda > 0 via projected evolutionary lifting and maximally monotone operators.
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Universal Approximation of Nonlinear Operators and Their Derivatives
Proves the first universal approximation theorems for k-times differentiable nonlinear operators between Banach spaces and their derivatives uniformly on compact sets in weighted Sobolev norms via encoder-decoder operator learning architectures.
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Projected Evolutionary Lifting and Well-Posedness of Stationary Hamilton-Jacobi-Bellman Equations in Infinite Dimensions
Existence and uniqueness of mild solutions to stationary HJB equations in separable Hilbert spaces holds for any discount factor lambda > 0 via projected evolutionary lifting and maximally monotone operators.