Handbook of Differential Equations: Evolutionary Equations

A sample of high level contributions written by leading scientists working in the field of partial differential equations of evolutionairy type.

C.M. Dafermos (Edited by), Eduard Feireisl (Edited by)

9780444511317

Hardback, published 24 August 2004

578 pages
24 x 16.5 x 3.3 cm, 1.2 kg

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. The table of contents includes: W.Arendt: Semigroups and evolution equations: Calculus, regularity and kernel estimatesA.Bressan: The front tracking method for systems of conservation lawsE.DiBenedetto, J.M.Urbano,V.Vespri: Current issues on singular and degenerate evolution equations;L.Hsiao, S.Jiang: Nonlinear hyperbolic-parabolic coupled systemsA.Lunardi: Nonlinear parabolic equations and systemsD.Serre:L1-stability of nonlinear waves in scalar conservation laws B.Perthame:Kinetic formulations of parabolic and hyperbolic PDE’s: from theory to numerics

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 PDE’s: from theory to numerics

Subject Areas: Numerical analysis [PBKS], Differential calculus & equations [PBKJ], Mathematics [PB]