LEADER 01302nam 22003853 450 001 9910627241503321 005 20220823080214.0 010 $a9789811942747$b(electronic bk.) 010 $z9789811942730 035 $a(MiAaPQ)EBC7076078 035 $a(Au-PeEL)EBL7076078 035 $a(CKB)24723938700041 035 $a(PPN)264192540 035 $a(EXLCZ)9924723938700041 100 $a20220823d2022 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aPurifying and Indexing Technology for Nucleic Acids-Based Next Generation Storage Medium 210 1$aSingapore :$cSpringer,$d2022. 210 4$dİ2023. 215 $a1 online resource (53 pages) 225 1 $aSpringer Theses Ser. 311 08$aPrint version: Choi, Hansol Purifying and Indexing Technology for Nucleic Acids-Based Next Generation Storage Medium Singapore : Springer,c2022 9789811942730 410 0$aSpringer Theses Ser. 676 $a572.85 700 $aChoi$b Hansol$01266666 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910627241503321 996 $aPurifying and Indexing Technology for Nucleic Acids-Based Next Generation Storage Medium$92975443 997 $aUNINA LEADER 03361nam 2200541 450 001 9910788746103321 005 20170822144314.0 010 $a1-4704-0396-X 035 $a(CKB)3360000000464982 035 $a(EBL)3114424 035 $a(SSID)ssj0000973250 035 $a(PQKBManifestationID)11602788 035 $a(PQKBTitleCode)TC0000973250 035 $a(PQKBWorkID)10958536 035 $a(PQKB)11288095 035 $a(MiAaPQ)EBC3114424 035 $a(RPAM)13415937 035 $a(PPN)195416856 035 $a(EXLCZ)993360000000464982 100 $a20150416h20042004 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aClassification and probabilistic representation of the positive solutions of a semilinear elliptic equation /$fBenoi?t Mselati 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2004. 210 4$dİ2004 215 $a1 online resource (146 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 168, Number 798 300 $a"March 2004, Volume 168, Number 798 (third of 4 numbers)." 311 $a0-8218-3509-2 320 $aIncludes bibliographical references and index. 327 $a""Contents""; ""Introduction and statement of the results""; ""Chapter 1. An analytic approach to the equation I??u = u[sup(2)]""; ""1.1. Parametrization near the boundary of the domain""; ""1.2. Basic facts about linear elliptic PDE's""; ""1.3. The equation I??u = u[sup(2)]""; ""Chapter 2. A probabilistic approach to the equation I??u = u[sup(2)]""; ""2.1. Linear elliptic PDE's and Brownian motion""; ""2.2. The Brownian snake""; ""2.3. Stochastic boundary values""; ""2.4. Fine topology and fine trace""; ""2.5. Two key problems""; ""Chapter 3. Lower bounds for solutions"" 327 $a""Main results proved in this chapter""""3.1. Upper bounds for u[sub(K)] in terms of the boundary capacity of K""; ""3.2. Lower bounds for cr-moderate solutions""; ""3.3. Synthesis""; ""Chapter 4. Upper bounds for solutions""; ""Main results proved in this chapter""; ""4.1. The case of a ""strongly star-shaped domain""""; ""4.2. The case of a general domain""; ""4.3. Proof of Proposition 4.1""; ""Chapter 5. The classification and representation of the solutions of I??u = u[sup(2)] in a domain""; ""5.1. Representation of solutions""; ""5.2. Admissible traces and classification results"" 327 $a""Appendix A. Technical results""""A.1. Parametrization near the boundary""; ""A.2. Estimates for the Green function""; ""A.3. The auxiliary function p""; ""A.4. Proof of Lemma 2.20""; ""Appendix. Bibliography""; ""Notation index""; ""Subject index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""N""; ""P""; ""R""; ""S""; ""T"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 168, Number 798. 606 $aDifferential equations, Elliptic 615 0$aDifferential equations, Elliptic. 676 $a515/.353 700 $aMselati$b Benoi?t$f1977-$01567061 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788746103321 996 $aClassification and probabilistic representation of the positive solutions of a semilinear elliptic equation$93838160 997 $aUNINA LEADER 02206nam 2200625 450 001 9910812139303321 005 20230126214513.0 010 $a80-210-8251-8 035 $a(CKB)3710000000727302 035 $a(SSID)ssj0001682075 035 $a(PQKBManifestationID)16507591 035 $a(PQKBTitleCode)TC0001682075 035 $a(PQKBWorkID)14997508 035 $a(PQKB)11322449 035 $a(MiAaPQ)EBC4887193 035 $a(Au-PeEL)EBL4887193 035 $a(CaPaEBR)ebr11402954 035 $a(OCoLC)993090338 035 $a(EXLCZ)993710000000727302 100 $a20170725h20152015 uy 0 101 0 $acze 135 $aurcnu|||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSocializace do skolni?ho jazyka /$fZuzana Salamounova? 210 1$aBrno, [Czech Republic] :$cFilozoficka? fakulta, Masarykova univerzita,$d2015. 210 4$dİ2015 215 $a1 online resource (191 pages) $cillustrations 225 1 $aSpisy Masarykovy univerzity v Brne, Filozoficka? fakulta =$aOpera Universitatis Masarykianae Brunensis. 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