参考文献:1.Federer, H.: Geometric Measure Theory. Springer, New York (1969)MATH 2.Giusti, E.: Minimal Surfaces and Functions of Bounded Variation. Birkhauser, Boston (1984)MATH CrossRef 3.Ladyzenskaja O., Solonnikov V., Uralceva N.: Linear and quasilinear equations of parabolic type. V. 23, Translations of Mathematical Monographs, 1968. 4.Tidriri, M., Submitted
In this paper I construct and study new measures associated with a given pair of functions. To illustrate their applications in analysis, these measures are applied to the heat equation. Keywords Divergence theorem Finite perimeter Haussdorff measure Hypersurface Measure Trace