An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L∞ / Nikos Katzourakis
(Visualizza in formato marc)
(Visualizza in BIBFRAME)
| Autore: |
Katzourakis, Nikos
|
| Titolo: |
An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L∞ / Nikos Katzourakis
|
| Pubblicazione: | Cham, : Springer, 2015 |
| Titolo uniforme: | An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L∞ |
| Descrizione fisica: | xii, 123 p. : ill. ; 24 cm |
| Soggetto topico: | 35-XX - Partial differential equations [MSC 2020] |
| 35D40 - Viscosity solutions to PDEs [MSC 2020] | |
| 49-XX - Calculus of variations and optimal control; optimization [MSC 2020] | |
| 49K20 - Optimality conditions for problems involving partial differential equations [MSC 2020] | |
| Soggetto non controllato: | Calculus of variations |
| Elliptic Partial Differential Equations | |
| Game Theory | |
| Geometric evolution | |
| Partial Differential Equations | |
| Viscosity solutions | |
| Nota di contenuto: | The purpose of this book is to give a quick and elementary, yet rigorous, presentation of the rudiments of the so-called theory of Viscosity Solutions which applies to fully nonlinear 1st and 2nd order Partial Differential Equations (PDE). For such equations, particularly for 2nd order ones, solutions generally are non-smooth and standard approaches in order to define a "weak solution" do not apply: classical, strong almost everywhere, weak, measure-valued and distributional solutions either do not exist or may not even be defined. The main reason for the latter failure is that, the standard idea of using "integration-by-parts" in order to pass derivatives to smooth test functions by duality, is not available for non-divergence structure PDE. |
| Titolo autorizzato: | Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L∞ |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | VAN00125299 |
| Lo trovi qui: | Univ. Vanvitelli |
| Localizzazioni e accesso elettronico | http://doi.org/10.1007/978-3-319-12829-0 |
| Opac: | Controlla la disponibilità qui |
Serie:
SpringerBriefs in mathematics Berlin [etc.] . -Springer , 2011-