LEADER 02667nam 2200577 a 450 001 9910483514303321 005 20200520144314.0 010 $a9783540759324 010 $a3540759328 024 7 $a10.1007/978-3-540-75932-4 035 $a(CKB)1000000000437242 035 $a(SSID)ssj0000318912 035 $a(PQKBManifestationID)11241205 035 $a(PQKBTitleCode)TC0000318912 035 $a(PQKBWorkID)10329698 035 $a(PQKB)10097164 035 $a(DE-He213)978-3-540-75932-4 035 $a(MiAaPQ)EBC3068752 035 $a(PPN)12705216X 035 $a(EXLCZ)991000000000437242 100 $a20080122d2008 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 14$aThe method of intrinsic scaling $ea systematic approach to regularity for degenerate and singular PDEs /$fJose Miguel Urbano 205 $a1st ed. 2008. 210 $aBerlin $cSpringer$dc2008 215 $a1 online resource (X, 154 p.) 225 1 $aLecture notes in mathematics,$x0075-8434 ;$v1930 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a9783540759317 311 08$a354075931X 320 $aIncludes bibliographical references (p. [145]-148) and index. 327 $apt. 1. The method of intrinsic scaling -- pt. 2. Some applications. 330 $aThis set of lectures, which had its origin in a mini course delivered at the Summer Program of IMPA (Rio de Janeiro), is an introduction to intrinsic scaling, a powerful method in the analysis of degenerate and singular PDEs. In the first part, the theory is presented from scratch for the model case of the degenerate p-Laplace equation. This approach brings to light what is really essential in the method, leaving aside technical refinements needed to deal with more general equations, and is entirely self-contained. The second part deals with three applications of the theory to relevant models arising from flows in porous media and phase transitions. The aim is to convince the reader of the strength of the method as a systematic approach to regularity for this important class of equations. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1930. 606 $aScalar field theory 606 $aDifferential equations, Partial 615 0$aScalar field theory. 615 0$aDifferential equations, Partial. 676 $a515.353 700 $aUrbano$b Jose Miguel$f1970-$0472520 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483514303321 996 $aThe Method of Intrinsic Scaling$92831266 997 $aUNINA