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010   $a3-031-84705-9
024 7 $a10.1007/978-3-031-84705-9
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035   $a(DE-He213)978-3-031-84705-9
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035   $a(OCoLC)1523369680
035   $a(EXLCZ)9938586754900041
100   $a20250425d2025      u|         0
101 0 $aeng
135   $aur|||||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aHomogenization Algebras and Applications $eA Deterministic Homogenization Theory /$fby Gabriel Nguetseng
205   $a1st ed. 2025.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025.
215   $a1 online resource (XXII, 415 p.) 
225 1 $aSpringer Monographs in Mathematics,$x2196-9922
311 08$a3-031-84704-0 
327   $a- 1. Preliminaries. - 2. Homogenization Algebras on RN -- 3. ?-Convergence: The Periodic Setting -- 4. ?-Convergence: The General Setting -- 5. Homogenization of Elliptic Operators -- 6. Homogenization of Parabolic Operators I -- 7. Homogenization Of Parabolic Operators II -- 8. Reiterated Homogenization.
330   $aThe book presents a deterministic homogenization theory intended for the mathematical analysis of non-stochastic multiscale problems, both within and beyond the periodic setting. The main tools are the so-called homogenization algebras, the classical Gelfand representation theory, and a class of actions by the multiplicative group of positive real numbers on numerical spaces. The basic approach is the Sigma-convergence method, which generalizes the well-known two-scale convergence procedure. Numerous problems are worked out to illustrate the theory and highlight its broad applicability. The book is primarily intended for researchers (including PhD students) and lecturers interested in periodic as well as non-periodic homogenization theory.
410  0$aSpringer Monographs in Mathematics,$x2196-9922
606   $aDifferential equations
606   $aFunctional analysis
606   $aOperator theory
606   $aMathematical physics
606   $aEngineering mathematics
606   $aEngineering$xData processing
606   $aDifferential Equations
606   $aFunctional Analysis
606   $aOperator Theory
606   $aMathematical Physics
606   $aTheoretical, Mathematical and Computational Physics
606   $aMathematical and Computational Engineering Applications
615  0$aDifferential equations.
615  0$aFunctional analysis.
615  0$aOperator theory.
615  0$aMathematical physics.
615  0$aEngineering mathematics.
615  0$aEngineering$xData processing.
615 14$aDifferential Equations.
615 24$aFunctional Analysis.
615 24$aOperator Theory.
615 24$aMathematical Physics.
615 24$aTheoretical, Mathematical and Computational Physics.
615 24$aMathematical and Computational Engineering Applications.
676   $a515.35
700   $aNguetseng$b Gabriel$4aut$4http://id.loc.gov/vocabulary/relators/aut$01817763
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910999688103321
996   $aHomogenization Algebras and Applications$94375920
997   $aUNINA