Representation theorems express nonvariational α-Hölder solutions of the Helmholtz equation via acoustic single-layer potentials on C^{1,α} or less regular domains.
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AI data center electricity demand will reach 1% of global power use by 2030, with concentrated siting causing high power stress in specific regions like Oregon, Virginia, and Ireland.
Explicit formulas and a regularized algorithm recover scalar parameters (coefficients and fractional orders) in a linear subdiffusion equation with memory from nonlocal observations.
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Representation theorems for nonvariational solutions of the Helmholtz equation
Representation theorems express nonvariational α-Hölder solutions of the Helmholtz equation via acoustic single-layer potentials on C^{1,α} or less regular domains.
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Concentrated siting of AI data centers drives regional power-system stress under rising global compute demand
AI data center electricity demand will reach 1% of global power use by 2030, with concentrated siting causing high power stress in specific regions like Oregon, Virginia, and Ireland.
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Regularized Reconstruction of Scalar Parameters in Subdiffusion with Memory via a Nonlocal Observation
Explicit formulas and a regularized algorithm recover scalar parameters (coefficients and fractional orders) in a linear subdiffusion equation with memory from nonlocal observations.