02430nam a2200445 i 4500991003633649707536m o d cr cnu|||unuuu190329s2018 sz a ob 001 0 eng d3319970798(electronic bk.)9783319970790(electronic bk.)331997078X9783319970783(print)10.1007/978-3-319-97079-0doib1436346x-39ule_inst51523AMS 35R35LC QA299.6-433Apushkinskaya, Darya785927Free boundary problems[e-book] :regularity properties near the fixed boundary /by Darya ApushkinskayaCham :Springer,20181 online resource (xvii, 146 pages) :10 illus. in colortexttxtrdacontentcomputercrdamediaonline resourcecrrdacarriertext filePDFrdaLecture notes in mathematics,0075-8434 ;2218Includes bibliographical references and indexIntroduction ; No-sign parabolic obstacle-type problems ; Boundary estimates for solutions of free boundary problemsThis 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 boundariesGlobal analysis (Mathematics)Mathematical optimizationPrinted edition:9783319970783Printed edition:9783319970806An electronic book accessible through the World Wide Webhttp://link.springer.com/10.1007/978-3-319-97079-0.b1436346x03-03-2229-03-19991003633649707536Free boundary problems1749858UNISALENTOle01329-03-19m@ -engsz 00