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Let R be a Gorenstein local ring which is locally a hypersurface on thepunctured spectrum. In this paper, we classify thick subcategories of thebounded derived category of finitely generated R-modules. Moreover, using thisclassification, we also classify thick subcategories of finitely generatedR-modules, and find out the relationships with thick subcategories ofCohen-Macaulay R-modules.

Thick subcategories over Gorenstein local rings that are locally hypersurfaces on the punctured spectra