Handbook of Differential Equations: Evolutionary Equations: Evolutionary Equations
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Table of contents
- Cover
- Contentsix
- Prefacev
- List of Contributorsvii
- Chapter 1. Semigroups and Evolution Equations: Functional Calculus, Regularity and Kernel Estimates1
- Chapter 2. Front Tracking Method for Systems of Conservation Laws87
- Chapter 3. Current Issues on Singular and Degenerate Evolution Equations169
- Chapter 4. Nonlinear Hyperbolic–Parabolic Coupled Systems287
- Chapter 5. Nonlinear Parabolic Equations and Systems385
- Chapter 6. Kinetic Formulations of Parabolic and Hyperbolic PDEs: From Theory to Numerics437
- Chapter 7. L1-stability of NonlinearWaves in Scalar Conservation Laws473
- Author Index555
- Subject Index565
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 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
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 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