Extends semigroup methods and measurable selection results to prove global existence for partially nonautonomous evolution inclusion systems under Hausdorff continuity and convexity conditions on couplings.
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Proposes and empirically tests an adaptive double-phase ROF denoising model that reduces staircasing while preserving edges, reporting improved or similar SSIM, PSNR, and LPIPS performance.
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Nonautonomous systems of evolution inclusions
Extends semigroup methods and measurable selection results to prove global existence for partially nonautonomous evolution inclusion systems under Hausdorff continuity and convexity conditions on couplings.
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Adaptive double-phase Rudin--Osher--Fatemi denoising model
Proposes and empirically tests an adaptive double-phase ROF denoising model that reduces staircasing while preserving edges, reporting improved or similar SSIM, PSNR, and LPIPS performance.