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020 _a9783642282850
_9978-3-642-28285-0
024 7 _a10.1007/978-3-642-28285-0
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
072 7 _aPBKJ
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082 0 4 _a515.353
_223
100 1 _aFavini, Angelo.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aDegenerate Nonlinear Diffusion Equations
_h[electronic resource] /
_cby Angelo Favini, Gabriela Marinoschi.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2012.
300 _aXXI, 143 p. 12 illus., 9 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2049
505 0 _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.
520 _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.
650 0 _aDifferential equations, partial.
650 0 _aMathematical optimization.
650 0 _aMathematics.
650 1 4 _aPartial Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12155
650 2 4 _aCalculus of Variations and Optimal Control; Optimization.
_0http://scigraph.springernature.com/things/product-market-codes/M26016
650 2 4 _aApplications of Mathematics.
_0http://scigraph.springernature.com/things/product-market-codes/M13003
700 1 _aMarinoschi, Gabriela.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642282843
776 0 8 _iPrinted edition:
_z9783642282867
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2049
856 4 0 _uhttps://doi.org/10.1007/978-3-642-28285-0
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c10460
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