02799nam 2200577 450 991082764880332120180613001303.01-4704-0622-5(CKB)3360000000465189(EBL)3114126(SSID)ssj0000889140(PQKBManifestationID)11566330(PQKBTitleCode)TC0000889140(PQKBWorkID)10876184(PQKB)10477043(MiAaPQ)EBC3114126(RPAM)16927495(PPN)195418948(EXLCZ)99336000000046518920150417h20112011 uy 0engur|n|---|||||txtccrParabolic systems with polynomial growth and regularity /Frank Duzaar, Giuseppe Mingione, Klaus SteffenProvidence, Rhode Island :American Mathematical Society,2011.©20111 online resource (118 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 214, Number 1005"Volume 214, Number 1005 (first of 5 numbers )."0-8218-4967-0 Includes bibliographical references.""Contents""; ""Acknowledgments""; ""Introduction""; ""Chapter 1. Results""; ""1.1. Partial regularity""; ""1.2. Singular sets estimates""; ""1.3. Extended Calderón-Zygmund theory""; ""1.4. Outline of the paper""; ""Chapter 2. Basic material, assumptions""; ""2.1. Notation, parabolic cylinders""; ""2.2. Basic assumptions, especially for partial regularity""; ""2.3. General technical results""; ""2.4. Compactness in parabolic spaces""; ""2.5. Function spaces, preliminaries""; ""2.6. Parabolic Hausdorff dimension""; ""Chapter 3. The A-caloric approximation lemma""""8.5. Proof of the a priori estimate""""8.6. Exit times""; ""8.7. Construction of comparison maps""; ""8.8. Estimates on cylinders""; ""8.9. Estimates for super-level sets""; ""8.10. Estimate 1.20 and proof of Theorem 1.6 concluded""; ""8.11. Proof of Theorem 1.5""; ""8.12. Proof of Theorems 1.7 and 1.9""; ""8.13. Interpolative nature of estimate 1.20""; ""Bibliography""Memoirs of the American Mathematical Society ;Volume 214, Number 1005.Differential equations, ParabolicPolynomialsDifferential equations, Parabolic.Polynomials.515.3534Duzaar Frank1957-1638690Mingione Giuseppe1972-Steffen Klaus1945-MiAaPQMiAaPQMiAaPQBOOK9910827648803321Parabolic systems with polynomial growth and regularity3981279UNINA