Construction and Study of New Measures Associated with a Given Pair of Functions

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• 作者：Moulay Tidriri
• 关键词：Divergence theorem ; Finite perimeter ; Haussdorff measure ; Hypersurface ; Measure ; Trace ; 28A75 ; 28A78 ; 26B30 ; 35F99
• 刊名：Journal of Statistical Physics
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：162
• 期：2
• 页码：577-602
• 全文大小：615 KB
• 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
  
• 作者单位：Moulay Tidriri (1)
  
  1. Gilbert, USA
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Statistical Physics
  Mathematical and Computational Physics
  Physical Chemistry
  Quantum Physics
  
• 出版者：Springer Netherlands
• ISSN：1572-9613

文摘

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