Handbook of Differential Equations

Vol.1-3

A. Canada, P. Drabek,& A. Fonda
North Holland | ISBN: 0444511318 | 2004 | Vol. 1- 3 | 578+630+736+ 752 pages | PDF | 16 MB

This book contains several introductory texts concerning the main directions in the theory of evolutionary partial differential equations. The main objective is to present clear, rigorous, and in depth surveys on the most important aspects of the present theory.

W.Arendt: Semigroups and evolution equations: Calculus, regularity and kernel estimates

A.Bressan: The front tracking method for systems of conservation laws

E.DiBenedetto, J.M.Urbano,V.Vespri: Current issues on singular and degenerate evolution equations;

L.Hsiao, S.Jiang: Nonlinear hyperbolic-parabolic coupled systems

A.Lunardi: Nonlinear parabolic equations and systems

D.Serre:L1-stability of nonlinear waves in scalar conservation laws

B.Perthame:Kinetic formulations of parabolic and hyperbolic PDEs: from theory to numerics

Handbook of Differential Equations: Stationary Partial Differential Equations, Volume 3

This handbook is volume III in a series devoted to stationary partial differential quations. Similarly as volumes I and II, it is a collection of self contained state-of-the-art surveys written by well known experts in the field. The topics covered by this handbook include singular and higher order equations, problems near critically, problems with anisotropic nonlinearities, dam problem, T-convergence and Schauder-type estimates.

These surveys will be useful for both beginners and experts and speed up the progress of corresponding (rapidly developing and fascinating) areas of mathematics.

- Written by well-known experts in the field

- Self-contained volume in series covering one of the most rapid developing topics in mathematics

- Written by well-known experts in the field

- Self-contained volume in series covering one of the most rapid developing topics in mathematics

Handbook of Differential Equations:Stationary Partial Differential Equations, Volume 1

Michel Chipot,& Pavol Quittner,

The book could be a good companion for any graduate student in partial differential equations or in applied mathematics. Each chapter brings indeed new ideas and new techniques which can be used in these fields. The differents chapters can be read independently and are of great pedagogical value. The advanced researcher will find along the book the most recent achievements in various fields.

· Independent chapters

· Most recent advances in each fields

· Hight didactic quality

· Self contained

· Excellence of the contributors

· Wide range of topics

Handbook of Differential Equations: Ordinary Differential Equations, Volume 3

This handbook is the third volume in a series of volumes devoted to self contained and up-to-date surveys in the tehory of ordinary differential equations, written by leading researchers in the area. All contributors have made an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wide audience.

These ideas faithfully reflect the spirit of this multi-volume and hopefully it becomes a very useful tool for reseach, learing and teaching. This volumes consists of seven chapters covering a variety of problems in ordinary differential equations. Both pure mathematical research and real word applications are reflected by the contributions to this volume.

- Covers a variety of problems in ordinary differential equations

- Pure mathematical and real world applications

- Written for mathematicians and scientists of many related fields

Handbook of Differential Equations: Ordinary Differential Equations, Volume 1

A. Canada, P. Drabek,& A. Fonda,

The book contains seven survey papers about ordinary differential equations.

The common feature of all papers consists in the fact that nonlinear equations are focused on. This reflects the situation in modern mathematical modelling - nonlinear mathematical models are more realistic and describe the real world problems more accurately. The implications are that new methods and approaches have to be looked for, developed and adopted in order to understand and solve nonlinear ordinary differential equations.

The purpose of this volume is to inform the mathematical community and also other scientists interested in and using the mathematical apparatus of ordinary differential equations, about some of these methods and possible applications.