Nicht aus der Schweiz? Besuchen Sie lehmanns.de
Superlinear Parabolic Problems - Prof. Dr. Pavol Quittner, Prof. Dr. Philippe Souplet

Superlinear Parabolic Problems

Blow-up, Global Existence and Steady States
Buch | Hardcover
XXII, 719 Seiten
2019 | 2nd ed. 2019
Springer International Publishing (Verlag)
978-3-030-18220-5 (ISBN)
CHF 127,30 inkl. MwSt
  • Versand in 15-20 Tagen
  • Versandkostenfrei
  • Auch auf Rechnung
  • Artikel merken

This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems. This class of problems contains, in particular, a number of reaction-diffusion systems which arise in various mathematical models, especially in chemistry, physics and biology.

The first two chapters introduce to the field and enable the reader to get acquainted with the main ideas by studying simple model problems, respectively of elliptic and parabolic type. The subsequent three chapters are devoted to problems with more complex structure; namely, elliptic and parabolic systems, equations with gradient depending nonlinearities, and nonlocal equations. They include many developments which reflect several aspects of current research. Although the techniques introduced in the first two chapters provide efficient tools to attack some aspects of these problems, they often display new phenomena and specifically different behaviors, whosestudy requires new ideas. Many open problems are mentioned and commented.

The book is self-contained and up-to-date, it has a high didactic quality. It is devoted to problems that are intensively studied but have not been treated so far in depth in the book literature. The intended audience includes graduate and postgraduate students and researchers working in the field of partial differential equations and applied mathematics.

The first edition of this book has become one of the standard references in the field. This second edition provides a revised text and contains a number of updates reflecting significant recent advances that have appeared in this growing field since the first edition.

Pavol Quittner is Full Professor of Mathematics at the Comenius University in Bratislava. He received his PhD in Mathematics from the Charles University in Prague in 1987. His research interests focus on nonlinear partial differential equations. Philippe Souplet is Full Professor of Mathematics and Head of the Mathematics Research Department (LAGA, CNRS UMR 7539) at Université Paris 13. He received his PhD in Mathematics from Université Paris 6. His research interests focus on nonlinear partial differential equations.

Model Elliptic Problems.- Model Parabolic Problems.- Systems.- Equations with Gradient Terms.- Nonlocal Problems.

Erscheinungsdatum
Reihe/Serie Birkhäuser Advanced Texts Basler Lehrbücher
Zusatzinfo XXII, 719 p. 15 illus.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 1274 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Schlagworte A priori bounds • blow-up • Cauchy problem • Dirichlet problem • parabolic problem • Partial differential equations
ISBN-10 3-030-18220-7 / 3030182207
ISBN-13 978-3-030-18220-5 / 9783030182205
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich

von Tilo Arens; Frank Hettlich; Christian Karpfinger …

Buch (2022)
Springer Spektrum (Verlag)
CHF 109,95