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The regularity of general parabolic systems with degenerate diffusion / / Verena Bögelein, Frank Duzaar, Giuseppe Mingione
The regularity of general parabolic systems with degenerate diffusion / / Verena Bögelein, Frank Duzaar, Giuseppe Mingione
Autore Bögelein Verena <1978->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2012
Descrizione fisica 1 online resource (143 p.)
Disciplina 515/.3534
Collana Memoirs of the American Mathematical Society
Soggetto topico Degenerate differential equations
Differential equations, Parabolic
Diffusion - Mathematical models
ISBN 0-8218-9465-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""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""
Record Nr. UNINA-9910829162003321
Bögelein Verena <1978->  
Providence, Rhode Island : , : American Mathematical Society, , 2012
Materiale a stampa
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