03306nam 2200625Ia 450 991048320340332120200520144314.03-642-27145-610.1007/978-3-642-27145-8(CKB)3360000000365822(SSID)ssj0000630008(PQKBManifestationID)11359743(PQKBTitleCode)TC0000630008(PQKBWorkID)10744144(PQKB)11657766(DE-He213)978-3-642-27145-8(MiAaPQ)EBC3070562(PPN)165063009(EXLCZ)99336000000036582220120213d2012 uy 0engurnn|008mamaatxtccrRegularity estimates for nonlinear elliptic and parabolic problems Cetraro, Italy, 2009 /John Lewis ... [et al.] ; editors, Ugo Gianazza, John Lewis1st ed. 2012.Heidelberg ;New York Springerc20121 online resource (XI, 247 p. 3 illus.) Lecture notes in mathematics,0075-8434 ;2045"Notes of the CIME course 'Regularity Estimates for Nonlinear Elliptic and Parabolic Problems' held in Cetraro (Italy) on June 22-27, 2009".--Pref.3-642-27144-8 Includes bibliographical references.Applications of Boundary Harnack Inequalities for p Harmonic Functions and Related Topics -- Regularity of Supersolutions -- Introduction to random Tug-of-War games and PDEs -- The Problems of the Obstacle in Lower Dimension and for the Fractional Laplacian.The issue of regularity has played a central role in the theory of Partial Differential Equations almost since its inception, and despite the tremendous advances made it still remains a very fruitful research field. In particular considerable strides have been made in regularity estimates for degenerate and singular elliptic and parabolic equations over the last several years, and in many unexpected and challenging directions. Because of all these recent results, it seemed high time to create an overview that would highlight emerging trends and issues in this fascinating research topic in a proper and effective way. The course aimed to show the deep connections between these topics and to open new research directions through the contributions of leading experts in all of these fields.Lecture notes in mathematics (Springer-Verlag) ;2045.Differential equations, EllipticDifferential equations, ParabolicDifferential equations, NonlinearDifferential equationsQualitative theoryDifferential equations, Elliptic.Differential equations, Parabolic.Differential equations, Nonlinear.Differential equationsQualitative theory.515.353Lewis John L.1943-1640630Gianazza Ugo1741891Centro internazionale matematico estivo.MiAaPQMiAaPQMiAaPQBOOK9910483203403321Regularity estimates for nonlinear elliptic and parabolic problems4202828UNINA