An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L is popular PDF and ePub book, written by Nikos Katzourakis in 2014-11-26, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L can be Read Online from any device for your convenience.
An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L Book PDF Summary
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.
Detail Book of An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L PDF
- Author : Nikos Katzourakis
- Release : 26 November 2014
- Publisher : Springer
- ISBN : 9783319128290
- Genre : Mathematics
- Total Page : 125 pages
- Language : English
- PDF File Size : 15,7 Mb
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