Marcelo R. Ebert, Michael Reissig

eBook, PDF

Methods for Partial Differential Equations (eBook, PDF)

Qualitative Properties of Solutions, Phase Space Analysis, Semilinear Models

Beschreibung

Provides an overview on different topics of the theory of partial differential equations

Presents a comprehensive treatment of semilinear models by using appropriate qualitative properties and a-priori estimates of solutions to the corresponding linear models and several methods to treat non-linearities

Supports the preparation of courses on selected topics of the theory of partial differential equations for advanced undergraduate and graduate students

Technische Details

• Geräte: PC
• ohne Kopierschutz
• Größe: 4.93MB

Barrierefreiheit

• Text-to-Speech

Autor

Marcelo Rempel Ebert (1977) is an Associate Professor at the Department of Computing and Mathematics at the University of São Paulo (USP). He obtained his Ph.D. degree in 2004 from Federal University of São Carlos, Brazil. His original contributions are mainly devoted to Evolution partial differential equations, in particular, questions related to the asymptotic behaviour and global existence of solutions for the Cauchy problem to semilinear wave equations.

Michael Gerhard Reissig (1958) is Professor for Partial Differential Equations at the Institute of Applied Analysis of the Technical University Bergakademie Freiberg. He obtained the degree Dr.rer.nat. in 1987, Dr.sc. in 1991 and Dr.habil. in 1992. His main contributions are devoted to the abstract Cauchy-Kovalevskaja theory, to Hele-Shaw flows, to elliptic equations, hyperbolic equations and Schrödinger equations as well.

Produktdetails

• Verlag: Springer International Publishing
• Seitenzahl: 456
• Erscheinungstermin: 23. Februar 2018
• Englisch
• ISBN-13: 9783319664569
• Artikelnr.: 52944731

Rezensionen

"This is a self-contained monograph on the theory of partial differential equations, mainly oriented for nonlinear hyperbolic and dispersive equations and systems. ... This monograph is totally a good introduction to the beginners of the study of partial differential equations, particularly to whom are interested in wave and dispersive equations and systems." (Takashi Suzuki, zbMATH 1503.35003, 2023)
"This book contains both a careful presentation of several important theoretic notions and properties but also a selection of well-chosen exercises at the end of each chapter. ... The exposition is flexible enough to allow substantial changes in the presentation of the arguments without compromising comprehension ... . this volume is a valuable resource for advanced undergraduate and graduate students ... . This book may also be useful for Ph.D. students or for special courses or seminars." (Vicentiu D. Radulescu, Mathematical Reviews, October, 2018)