Nonlinear Partial Differential Equations with Applications
This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads the reader through the general theory based on abstract (pseudo-) monotone or accretive operators as fast as possible towards the analysis of...
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| Format: | eBook |
| Language: | English |
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Basel
Birkhäuser
2013, 2013
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| Edition: | 2nd ed. 2013 |
| Series: | International Series of Numerical Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Preface
- Preface to the 2nd edition
- Notational conventions
- 1 Preliminary general material
- I Steady-state problems
- 2 Pseudomonotone or weakly continuous mappings
- 3 Accretive mappings
- 4 Potential problems: smooth case
- 5 Nonsmooth problems; variational inequalities
- 6. Systems of equations: particular examples
- II Evolution problems
- 7 Special auxiliary tools
- 8 Evolution by pseudomonotone or weakly continuous mappings
- 9 Evolution governed by accretive mappings
- 10 Evolution governed by certain set-valued mappings
- 11 Doubly-nonlinear problems
- 12 Systems of equations: particular examples
- References
- Index