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100   $a20120507d2012      u|             0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aDegenerate Nonlinear Diffusion Equations$b[electronic resource] /$fby Angelo Favini, Gabriela Marinoschi
205   $a1st ed. 2012.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2012.
215   $a1 online resource (XXI, 143 p. 12 illus., 9 illus. in color.)
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2049
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-642-28284-9 
320   $aIncludes bibliographical references (p. 135-139) and index.
327   $a1 Parameter identification in a parabolic-elliptic degenerate problem -- 2 Existence for diffusion degenerate problems -- 3 Existence for nonautonomous parabolic-elliptic degenerate diffusion Equations -- 4 Parameter identification in a parabolic-elliptic degenerate problem.
330   $aThe aim of these notes is to include in a uniform presentation style several topics related to the theory of degenerate nonlinear diffusion equations, treated in the mathematical framework of evolution equations with multivalued m-accretive operators in Hilbert spaces. The problems concern nonlinear parabolic equations involving two cases of degeneracy. More precisely, one case is due to the vanishing of the time derivative coefficient and the other is provided by the vanishing of the diffusion coefficient on subsets of positive measure of the domain. From the mathematical point of view the results presented in these notes can be considered as general results in the theory of degenerate nonlinear diffusion equations. However, this work does not seek to present an exhaustive study of degenerate diffusion equations, but rather to emphasize some rigorous and efficient techniques for approaching various problems involving degenerate nonlinear diffusion equations, such as well-posedness, periodic solutions, asymptotic behaviour, discretization schemes, coefficient identification, and to introduce relevant solving methods for each of them.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v2049
606   $aPartial differential equations
606   $aCalculus of variations
606   $aApplied mathematics
606   $aEngineering mathematics
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016
606   $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003
615  0$aPartial differential equations.
615  0$aCalculus of variations.
615  0$aApplied mathematics.
615  0$aEngineering mathematics.
615 14$aPartial Differential Equations.
615 24$aCalculus of Variations and Optimal Control; Optimization.
615 24$aApplications of Mathematics.
676   $a515.353
700   $aFavini$b Angelo$4aut$4http://id.loc.gov/vocabulary/relators/aut$056805
702   $aMarinoschi$b Gabriela$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a996466605303316
996   $aDegenerate Nonlinear Diffusion Equations$92830739
997   $aUNISA