LEADER 02430nam a2200445 i 4500 001 991003633649707536 006 m o d 007 cr cnu|||unuuu 008 190329s2018 sz a ob 001 0 eng d 020 $a3319970798$q(electronic bk.) 020 $a9783319970790$q(electronic bk.) 020 $z331997078X 020 $z9783319970783$q(print) 024 7 $a10.1007/978-3-319-97079-0$2doi 035 $ab1436346x-39ule_inst 082 04$a515$223 084 $aAMS 35R35 084 $aLC QA299.6-433 100 1 $aApushkinskaya, Darya$0748410 245 10$aFree boundary problems$h[e-book] :$bregularity properties near the fixed boundary /$cby Darya Apushkinskaya 260 $aCham :$bSpringer,$c2018 300 $a1 online resource (xvii, 146 pages) :$b10 illus. in color 336 $atext$btxt$2rdacontent 337 $acomputer$bc$2rdamedia 338 $aonline resource$bcr$2rdacarrier 347 $atext file$bPDF$2rda 490 1 $aLecture notes in mathematics,$x0075-8434 ;$v2218 504 $aIncludes bibliographical references and index 505 0 $aIntroduction ; No-sign parabolic obstacle-type problems ; Boundary estimates for solutions of free boundary problems 520 $aThis book is concerned with several elliptic and parabolic obstacle-type problems with a focus on the cases where the free and fixed boundaries meet. The results presented complement those found in existing books in the subject, which mainly treat regularity properties away from the fixed boundary. The topics include optimal regularity, analysis of global solutions, tangential touch of the free and fixed boundaries, as well as Lipschitz- and $C 1$-regularity of the free boundary. Special attention is given to local versions of various monotonicity formulas. The intended audience includes research mathematicians and advanced graduate students interested in problems with free boundaries 650 0$aGlobal analysis (Mathematics) 650 0$aMathematical optimization 776 08$iPrinted edition:$z9783319970783 776 08$iPrinted edition:$z9783319970806 856 40$zAn electronic book accessible through the World Wide Web$uhttp://link.springer.com/10.1007/978-3-319-97079-0 907 $a.b1436346x$b03-03-22$c29-03-19 912 $a991003633649707536 996 $aFree boundary problems$91524722 997 $aUNISALENTO 998 $ale013$b29-03-19$cm$d@ $e-$feng$gsz $h0$i0