An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L Paperback / softback
by Nikos Katzourakis
Part of the SpringerBriefs in Mathematics series
Paperback / softback
Description
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.
Information
-
Item not Available
- Format:Paperback / softback
- Pages:123 pages, 1 Illustrations, color; 24 Illustrations, black and white; XII, 123 p. 25 illus., 1 illus
- Publisher:Springer International Publishing AG
- Publication Date:27/11/2014
- Category:
- ISBN:9783319128283
Information
-
Item not Available
- Format:Paperback / softback
- Pages:123 pages, 1 Illustrations, color; 24 Illustrations, black and white; XII, 123 p. 25 illus., 1 illus
- Publisher:Springer International Publishing AG
- Publication Date:27/11/2014
- Category:
- ISBN:9783319128283
