02838nam 2200589 450 99646649160331620220908222630.03-540-47186-310.1007/BFb0077768(CKB)1000000000437545(SSID)ssj0000325224(PQKBManifestationID)12124319(PQKBTitleCode)TC0000325224(PQKBWorkID)10321699(PQKB)10531844(DE-He213)978-3-540-47186-8(MiAaPQ)EBC5591489(Au-PeEL)EBL5591489(OCoLC)1066189601(MiAaPQ)EBC6842308(Au-PeEL)EBL6842308(PPN)155215825(EXLCZ)99100000000043754520220908d1987 uy 0engurnn|008mamaatxtccrNonlinear evolution operators and semigroups applications to partial differential equations /Nicolae H. Pavel1st ed. 1987.Berlin, Germany :Springer,[1987]©19871 online resource (VIII, 288 p.) Lecture Notes in Mathematics,0075-8434 ;1260Bibliographic Level Mode of Issuance: Monograph0-387-17974-7 3-540-17974-7 Nonlinear evolution operators -- Nonlinear semigroups -- Applications to partial differential equations.This research monograph deals with nonlinear evolution operators and semigroups generated by dissipative (accretive), possibly multivalued operators, as well as with the application of this theory to partial differential equations. It shows that a large class of PDE's can be studied via the semigroup approach. This theory is not available otherwise in the self-contained form provided by these Notes and moreover a considerable part of the results, proofs and methods are not to be found in other books. The exponential formula of Crandall and Liggett, some simple estimates due to Kobayashi and others, the characterization of compact semigroups due to Brézis, the proof of a fundamental property due to Ursescu and the author and some applications to PDE are of particular interest. Assuming only basic knowledge of functional analysis, the book will be of interest to researchers and graduate students in nonlinear analysis and PDE, and to mathematical physicists.Lecture Notes in Mathematics,0075-8434 ;1260Nonlinear operatorsNonlinear operators.515Pavel N. H(Nicolae H.),56118MiAaPQMiAaPQMiAaPQBOOK996466491603316Nonlinear evolution operators and semigroups78550UNISA