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Record Nr. |
UNINA9910479982403321 |
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Autore |
Bögelein Verena <1978-> |
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Titolo |
The regularity of general parabolic systems with degenerate diffusion / / Verena Bögelein, Frank Duzaar, Giuseppe Mingione |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2012 |
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©2012 |
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ISBN |
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Descrizione fisica |
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1 online resource (143 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 221, Number 1041 |
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Disciplina |
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Soggetti |
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Degenerate differential equations |
Differential equations, Parabolic |
Diffusion - Mathematical models |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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"" |
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