1.

Record Nr.

UNINA9910788867303321

Autore

Duzaar Frank <1957->

Titolo

Parabolic systems with polynomial growth and regularity / / Frank Duzaar, Giuseppe Mingione, Klaus Steffen

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2011

©2011

ISBN

1-4704-0622-5

Descrizione fisica

1 online resource (118 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 214, Number 1005

Disciplina

515.3534

Soggetti

Differential equations, Parabolic

Polynomials

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 214, Number 1005 (first of 5 numbers )."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""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""