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024 7 $a10.1007/BFb0077768
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035   $a(DE-He213)978-3-540-47186-8
035   $a(MiAaPQ)EBC5591489
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035   $a(OCoLC)1066189601
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100   $a20220908d1987      uy             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aNonlinear evolution operators and semigroups $eapplications to partial differential equations /$fNicolae H. Pavel
205   $a1st ed. 1987.
210  1$aBerlin, Germany :$cSpringer,$d[1987]
210  4$d©1987
215   $a1 online resource (VIII, 288 p.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1260
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a0-387-17974-7 
311   $a3-540-17974-7 
327   $aNonlinear evolution operators -- Nonlinear semigroups -- Applications to partial differential equations.
330   $aThis research monograph deals with nonlinear evolution operators and semigroups generated by dissipative (accretive), possibly multivalued operators, as well as with the application of this theory to partial differential equations. It shows that a large class of PDE's can be studied via the semigroup approach. This theory is not available otherwise in the self-contained form provided by these Notes and moreover a considerable part of the results, proofs and methods are not to be found in other books. The exponential formula of Crandall and Liggett, some simple estimates due to Kobayashi and others, the characterization of compact semigroups due to Brézis, the proof of a fundamental property due to Ursescu and the author and some applications to PDE are of particular interest. Assuming only basic knowledge of functional analysis, the book will be of interest to researchers and graduate students in nonlinear analysis and PDE, and to mathematical physicists.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1260
606   $aNonlinear operators
615  0$aNonlinear operators.
676   $a515
700   $aPavel$b N. H$g(Nicolae H.),$056118
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996466491603316
996   $aNonlinear evolution operators and semigroups$978550
997   $aUNISA