LEADER 03122nam 2200601 450 001 9910479982403321 005 20180731044753.0 010 $a0-8218-9465-X 035 $a(CKB)3780000000000144 035 $a(EBL)3114360 035 $a(SSID)ssj0000889184 035 $a(PQKBManifestationID)11482809 035 $a(PQKBTitleCode)TC0000889184 035 $a(PQKBWorkID)10881946 035 $a(PQKB)10519623 035 $a(MiAaPQ)EBC3114360 035 $a(PPN)19540825X 035 $a(EXLCZ)993780000000000144 100 $a20150417h20122012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe regularity of general parabolic systems with degenerate diffusion /$fVerena Bo?gelein, Frank Duzaar, Giuseppe Mingione 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2012. 210 4$dİ2012 215 $a1 online resource (143 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 221, Number 1041 300 $aDescription based upon print version of record. 311 $a0-8218-8975-3 320 $aIncludes bibliographical references. 327 $a""Contents""; ""Abstract""; ""Chapter 1. Introduction and Results""; ""1.1. A short introduction to the regularity of parabolic systems""; ""1.2. The main regularity theorem and technical novelties""; ""1.3. The -caloric approximation technique""; ""1.4. Plan of the paper""; ""Chapter 2. Technical preliminaries""; ""2.1. Notation""; ""2.2. The -function""; ""2.3. Basic deductions from the structure conditions""; ""2.4. Quasi-monotonicity""; ""2.5. Minimizing affine functions""; ""2.6. Steklov averages""; ""2.7. -caloric approximation lemma"" 327 $a""7.2. A linear finale""""Chapter 8. Partial gradient regularity in the case >2""; ""8.1. The non-degenerate regime (NDR)""; ""8.2. The degenerate regime (DR)""; ""8.3. Combining the degenerate and the non-degenerate regime""; ""8.4. Proof of partial regularity""; ""Chapter 9. The case <2""; ""9.1. The non-singular regime (NSR)""; ""9.2. The singular regime (SR)""; ""9.3. Combining the singular and the non-singular regime""; ""9.4. Proof of partial regularity""; ""Chapter 10. Partial Lipschitz continuity of ""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 221, Number 1041. 606 $aDegenerate differential equations 606 $aDifferential equations, Parabolic 606 $aDiffusion$xMathematical models 608 $aElectronic books. 615 0$aDegenerate differential equations. 615 0$aDifferential equations, Parabolic. 615 0$aDiffusion$xMathematical models. 676 $a515/.3534 700 $aBo?gelein$b Verena$f1978-$0874426 702 $aDuzaar$b Frank$f1957- 702 $aMingione$b Giuseppe$f1972- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910479982403321 996 $aThe regularity of general parabolic systems with degenerate diffusion$91952465 997 $aUNINA