04007nam 22006495 450 99646660530331620200629215524.03-642-28285-710.1007/978-3-642-28285-0(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[electronic resource] /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,0075-8434 ;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,0075-8434 ;2049Partial differential equationsCalculus of variationsApplied mathematicsEngineering mathematicsPartial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Calculus of Variations and Optimal Control; Optimizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M26016Applications of Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M13003Partial differential equations.Calculus of variations.Applied mathematics.Engineering mathematics.Partial Differential Equations.Calculus of Variations and Optimal Control; Optimization.Applications of Mathematics.515.353Favini Angeloauthttp://id.loc.gov/vocabulary/relators/aut56805Marinoschi Gabrielaauthttp://id.loc.gov/vocabulary/relators/autBOOK996466605303316Degenerate Nonlinear Diffusion Equations2830739UNISA