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010   $a3-030-02125-4
024 7 $a10.1007/978-3-030-02125-2
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035   $a(DE-He213)978-3-030-02125-2
035   $a(PPN)232469938
035   $a(EXLCZ)994100000007158872
100   $a20181120d2018      u|         0
101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aElliptic Differential Operators and Spectral Analysis /$fby D. E. Edmunds, W.D. Evans
205   $a1st ed. 2018.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018.
215   $a1 online resource (x, 310 pages)
225 1 $aSpringer Monographs in Mathematics,$x1439-7382
311 08$a3-030-02124-6 
327   $a1. Preliminaries -- 2. The Laplace Operator -- 3. Second-order elliptic equations -- 4. The classical Dirichlet problem for second-order elliptic operators -- 5. Elliptic operators of arbitrary order -- 6. Operators and quadratic forms in Hilbert space -- 7. Realisations of second-order linear elliptic operators -- 8. The Lp approach to the Laplace operator -- 9. The p-Laplacian -- 10. The Rellich inequality -- 11. More properties on Sobolev embeddings -- 12. The Dirac Operator.
330   $aThis book deals with elliptic differential equations, providing the analytic background necessary for the treatment of associated spectral questions, and covering important topics previously scattered throughout the literature. Starting with the basics of elliptic operators and their naturally associated function spaces, the authors then proceed to cover various related topics of current and continuing importance. Particular attention is given to the characterisation of self-adjoint extensions of symmetric operators acting in a Hilbert space and, for elliptic operators, the realisation of such extensions in terms of boundary conditions. A good deal of material not previously available in book form, such as the treatment of the Schauder estimates, is included. Requiring only basic knowledge of measure theory and functional analysis, the book is accessible to graduate students and will be of interest to all researchers in partial differential equations. The reader will value its self-contained, thorough and unified presentation of the modern theory of elliptic operators.
410  0$aSpringer Monographs in Mathematics,$x1439-7382
606   $aDifferential equations, Partial
606   $aDifferential equations
606   $aFunctional analysis
606   $aOperator theory
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139
615  0$aDifferential equations, Partial.
615  0$aDifferential equations.
615  0$aFunctional analysis.
615  0$aOperator theory.
615 14$aPartial Differential Equations.
615 24$aOrdinary Differential Equations.
615 24$aFunctional Analysis.
615 24$aOperator Theory.
676   $a515.353
700   $aEdmunds$b D. E$g(David Eric),$4aut$4http://id.loc.gov/vocabulary/relators/aut$00
702   $aEvans$b W. D$g(William Desmond),$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910300118503321
996   $aElliptic Differential Operators and Spectral Analysis$93573115
997   $aUNINA