03670nam 22006855 450 991048384520332120260810113816.03-642-28285-710.1007/978-3-642-28285-0(CKB)3400000000085195(SSID)ssj0000679708(PQKBManifestationID)11368133(PQKBTitleCode)TC0000679708(PQKBWorkID)10625223(PQKB)11071371(DE-He213)978-3-642-28285-0(MiAaPQ)EBC3070604(PPN)165085495(EXLCZ)99340000000008519520120507d2012 u| 0engurnn#008mamaatxtccrDegenerate Nonlinear Diffusion Equations /by Angelo Favini, Gabriela Marinoschi1st ed. 2012.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2012.1 online resource (XXI, 143 p. 12 illus., 9 illus. in color.)Lecture Notes in Mathematics,1617-9692 ;2049Bibliographic Level Mode of Issuance: Monograph3-642-28284-9 Includes bibliographical references (p. 135-139) and index.1 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.The 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.Lecture Notes in Mathematics,1617-9692 ;2049Differential equationsMathematical optimizationCalculus of variationsMathematicsDifferential EquationsCalculus of Variations and OptimizationApplications of MathematicsDifferential equations.Mathematical optimization.Calculus of variations.Mathematics.Differential Equations.Calculus of Variations and Optimization.Applications of Mathematics.515.3534Favini A(Angelo),1946-56805Marinoschi Gabriela517203MiAaPQMiAaPQMiAaPQBOOK9910483845203321Degenerate nonlinear diffusion equations849772UNINA