LEADER 03662nam 22006733 450 001 9910972394703321 005 20231110215737.0 010 $a9781470467487 010 $a1470467488 035 $a(CKB)4940000000616238 035 $a(MiAaPQ)EBC6798073 035 $a(Au-PeEL)EBL6798073 035 $a(RPAM)22488293 035 $a(PPN)259971790 035 $a(OCoLC)1283846967 035 $a(EXLCZ)994940000000616238 100 $a20211214d2021 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCorrigendum and Improvements to Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations and Its Consequences 205 $a1st ed. 210 1$aProvidence :$cAmerican Mathematical Society,$d2021. 210 4$dİ2021. 215 $a1 online resource (32 pages) 225 1 $aMemoirs of the American Mathematical Society ;$vv.272 311 08$a9781470447878 311 08$a1470447878 320 $aIncludes bibliographical references. 327 $aCover -- Title page -- Chapter 1. Introduction -- Chapter 2. Correction to [2] -- Chapter 3. Correction to [1] -- Chapter 4. Correction to [3] -- Acknowledgments -- Bibliography -- Back Cover. 330 $a"In Chapter 5 of [2] there is a mistake in one assumption, which do not affect the results of the paper in the previous chapters. Precisely, the assumption in equation (5.2) has to be replaced by equation (5.6) therein. This replacement propagates in Hypotheses 5.2 and 5.3, as well as in Sections 4 and 5 of [1] and in Hypothesis 4.1(ii) of [3]. For the readers' convenience, we write here all the proofs of the involved results, though they are very similar. We remark that in all cases, replacing the correct assumptions makes all the written results true, and in most cases the proofs we give here are simpler than before. Each section follows the notations and the enumeration of the corresponding paper"--$cProvided by publisher. 410 0$aMemoirs of the American Mathematical Society 606 $aInequalities (Mathematics) 606 $aDifferential equations, Parabolic 606 $aCarleman theorem 606 $aSobolev spaces 606 $aPartial differential equations -- Parabolic equations and systems -- Degenerate parabolic equations$2msc 606 $aSystems theory; control -- Controllability, observability, and system structure -- Controllability$2msc 606 $aSystems theory; control -- Controllability, observability, and system structure -- Observability$2msc 615 0$aInequalities (Mathematics) 615 0$aDifferential equations, Parabolic. 615 0$aCarleman theorem. 615 0$aSobolev spaces. 615 7$aPartial differential equations -- Parabolic equations and systems -- Degenerate parabolic equations. 615 7$aSystems theory; control -- Controllability, observability, and system structure -- Controllability. 615 7$aSystems theory; control -- Controllability, observability, and system structure -- Observability. 676 $a515/.3534 686 $a35K65$a93B05$a93B07$2msc 700 $aFragnelli$b Genni$01733313 701 $aMugnai$b Dimitri$01733314 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910972394703321 996 $aCorrigendum and Improvements to Carleman Estimates, Observability Inequalities and Null Controllability for Interior Degenerate Nonsmooth Parabolic Equations and Its Consequences$94344557 997 $aUNINA