03122nam 2200601 450 991047998240332120180731044753.00-8218-9465-X(CKB)3780000000000144(EBL)3114360(SSID)ssj0000889184(PQKBManifestationID)11482809(PQKBTitleCode)TC0000889184(PQKBWorkID)10881946(PQKB)10519623(MiAaPQ)EBC3114360(PPN)19540825X(EXLCZ)99378000000000014420150417h20122012 uy 0engur|n|---|||||txtccrThe regularity of general parabolic systems with degenerate diffusion /Verena Bögelein, Frank Duzaar, Giuseppe MingioneProvidence, Rhode Island :American Mathematical Society,2012.©20121 online resource (143 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 221, Number 1041Description based upon print version of record.0-8218-8975-3 Includes bibliographical references.""Contents""; ""Abstract""; ""Chapter 1. Introduction and Results""; ""1.1. A short introduction to the regularity of parabolic systems""; ""1.2. The main regularity theorem and technical novelties""; ""1.3. The -caloric approximation technique""; ""1.4. Plan of the paper""; ""Chapter 2. Technical preliminaries""; ""2.1. Notation""; ""2.2. The -function""; ""2.3. Basic deductions from the structure conditions""; ""2.4. Quasi-monotonicity""; ""2.5. Minimizing affine functions""; ""2.6. Steklov averages""; ""2.7. -caloric approximation lemma""""7.2. A linear finale""""Chapter 8. Partial gradient regularity in the case >2""; ""8.1. The non-degenerate regime (NDR)""; ""8.2. The degenerate regime (DR)""; ""8.3. Combining the degenerate and the non-degenerate regime""; ""8.4. Proof of partial regularity""; ""Chapter 9. The case <2""; ""9.1. The non-singular regime (NSR)""; ""9.2. The singular regime (SR)""; ""9.3. Combining the singular and the non-singular regime""; ""9.4. Proof of partial regularity""; ""Chapter 10. Partial Lipschitz continuity of ""; ""Bibliography""Memoirs of the American Mathematical Society ;Volume 221, Number 1041.Degenerate differential equationsDifferential equations, ParabolicDiffusionMathematical modelsElectronic books.Degenerate differential equations.Differential equations, Parabolic.DiffusionMathematical models.515/.3534Bögelein Verena1978-874426Duzaar Frank1957-Mingione Giuseppe1972-MiAaPQMiAaPQMiAaPQBOOK9910479982403321The regularity of general parabolic systems with degenerate diffusion1952465UNINA