Nonlinear Partial Differential Equations and Inequalities
(Sprache: Englisch, Deutsch)
This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads general theory as fast as possible towards the analysis of concrete equations, which have specific...
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Produktinformationen zu „Nonlinear Partial Differential Equations and Inequalities “
This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads general theory as fast as possible towards the analysis of concrete equations, which have specific applications in continuum (thermo-) mechanics of solids and fluids, electrically (semi-) conductive media, modelling of biological systems, or in mechanical engineering. Selected parts are rather an introduction into the subject while some others form an advanced textbook. The intended audience is graduate and PhD students and researchers in the theory of partial differential equations or in mathematical modelling of distributed parameter systems. TOC:Preliminary general material.- Pseudomonotone or weakly continuous mappings.- Accretive mappings.- Potential problems: smooth case.- Nonsmooth problems; variational inequalities.- Systems of equations: particular examples.- Special auxiliary tools.- Evolution by pseudomonotone or weakly continuous mappings.- Evolution governed by accretive mappings.- Evolution governed by certain set-valued mappings.- Doubly-nonlinear problems.- Systems of equations: particular examples.
Klappentext zu „Nonlinear Partial Differential Equations and Inequalities “
This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads general theory as fast as possible towards the analysis of concrete equations, which have specific applications in continuum (thermo)mechanics of solids and fluids, electrically (semi)conductive media, modelling of biological systems, or in mechanical engineering. Selected parts are rather an introduction into the subject while some others form an advanced textbook, it is primarily intended for graduate and PhD students as well as for researchers.
Inhaltsverzeichnis zu „Nonlinear Partial Differential Equations and Inequalities “
- Preliminary general material- Pseudomonotone or weakly continuous mappings
- Accretive mappings
- Potential problems: smooth case
- Nonsmooth problems; variational inequalities
- Systems of equations: particular examples
- Special auxiliary tools
- Evolution by pseudomonotone or weakly continuous mappings
- Evolution governed by accretive mappings
- Evolution governed by certain set-valued mappings
- Doubly-nonlinear problems
- Systems of equations: particular examples.
Bibliographische Angaben
- Autor: Tomás Roubicek
- 2005, Maße: 17,2 x 24,1 cm, Gebunden, Englisch/Deutsch
- Verlag: Springer
- ISBN-10: 3764372931
- ISBN-13: 9783764372934
Sprache:
Englisch, Deutsch
Rezension zu „Nonlinear Partial Differential Equations and Inequalities “
From the reviews:"The book under review is mainly devoted to the study of both steady-state (Part I) and evolution (Part II) boundary value problems ... . The organization of the material is well done, and the presentation ... is clear, elegant and rigorous. ... In conclusion, primarily addressed to graduate and Ph.D. students and researchers ... this book is a notable addition to the existing literature. Also, it certainly will prove useful to engineers, physicists, biologists and other scientists ... ." -- Ioan I. Vrabie, Mathematical Reviews, Issue 2007 e
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