An expansion of abelian ℓ-groups with a spectral subspace map admits a model companion that is complete and has quantifier elimination.
Cruz-Uribe, J
4 Pith papers cite this work. Polarity classification is still indexing.
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Establishes well-posedness in history space, Lipschitz and weak-star robustness, and compact global attractors with upper semicontinuity for semilinear reaction-diffusion equations with measure-valued delays.
Proves a novel weighted Riesz-Kolmogorov theorem enabling multilinear extrapolation of compactness in weighted variable Lebesgue spaces, yielding new estimates for commutators of Calderon-Zygmund operators and related multilinear operators.
A new complete gauge fixing at initial data via Hodge decomposition on complete Riemannian manifolds enables existence proofs for Hadamard states in the quantization of Maxwell theory on globally hyperbolic Lorentzian manifolds.
citing papers explorer
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A Model Companion for Abelian Lattice-Ordered Groups with a Valuation
An expansion of abelian ℓ-groups with a spectral subspace map admits a model companion that is complete and has quantifier elimination.
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Kernel-Robust Dynamics for Reaction-Diffusion Equations with Measure-Valued Delay
Establishes well-posedness in history space, Lipschitz and weak-star robustness, and compact global attractors with upper semicontinuity for semilinear reaction-diffusion equations with measure-valued delays.
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Weighted Riesz--Kolmogorov criterion and multilinear extrapolation of compactness on variable Lebesgue spaces
Proves a novel weighted Riesz-Kolmogorov theorem enabling multilinear extrapolation of compactness in weighted variable Lebesgue spaces, yielding new estimates for commutators of Calderon-Zygmund operators and related multilinear operators.
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On the Quantisation of Linear Gauge Theories on Lorentzian Manifolds: Maxwell's Theory via Complete Gauge Fixing
A new complete gauge fixing at initial data via Hodge decomposition on complete Riemannian manifolds enables existence proofs for Hadamard states in the quantization of Maxwell theory on globally hyperbolic Lorentzian manifolds.