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An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L∞ / Nikos Katzourakis
| An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L∞ / Nikos Katzourakis |
| Autore | Katzourakis, Nikos |
| Pubbl/distr/stampa | Cham, : Springer, 2015 |
| Descrizione fisica | xii, 123 p. : ill. ; 24 cm |
| Soggetto topico |
49-XX - Calculus of variations and optimal control; optimization [MSC 2020]
35-XX - Partial differential equations [MSC 2020] 49K20 - Optimality conditions for problems involving partial differential equations [MSC 2020] 35D40 - Viscosity solutions to PDEs [MSC 2020] |
| Soggetto non controllato |
Calculus of variations
Elliptic Partial Differential Equations Game Theory Geometric evolution Partial differential equations Viscosity solutions |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0125299 |
Katzourakis, Nikos
|
||
| Cham, : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L∞ / Nikos Katzourakis
| An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L∞ / Nikos Katzourakis |
| Autore | Katzourakis, Nikos |
| Pubbl/distr/stampa | Cham, : Springer, 2015 |
| 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 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 uniforme | |
| Record Nr. | UNICAMPANIA-VAN00125299 |
|
Katzourakis, Nikos
|
||
| Cham, : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||