An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L∞

Nonfiction, Science & Nature, Mathematics, Differential Equations, Calculus
Cover of the book An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L∞ by Nikos Katzourakis, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Nikos Katzourakis ISBN: 9783319128290
Publisher: Springer International Publishing Publication: November 26, 2014
Imprint: Springer Language: English
Author: Nikos Katzourakis
ISBN: 9783319128290
Publisher: Springer International Publishing
Publication: November 26, 2014
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Natural Language Processing and Chinese Computing by Nikos Katzourakis
Cover of the book Antisocial Media by Nikos Katzourakis
Cover of the book Notes on the Infinity Laplace Equation by Nikos Katzourakis
Cover of the book Electronic Democracy in Europe by Nikos Katzourakis
Cover of the book Tutorials in Endovascular Neurosurgery and Interventional Neuroradiology by Nikos Katzourakis
Cover of the book Gendered Encounters between Germany and Asia by Nikos Katzourakis
Cover of the book Informed Architecture by Nikos Katzourakis
Cover of the book Gamification by Nikos Katzourakis
Cover of the book Ancient Engineers' Inventions by Nikos Katzourakis
Cover of the book NEO 2016 by Nikos Katzourakis
Cover of the book Credit Risk Management by Nikos Katzourakis
Cover of the book Basic Concepts in Computational Physics by Nikos Katzourakis
Cover of the book Mollusk shells as bio-geo-archives by Nikos Katzourakis
Cover of the book Tropical Cyclone Activity over the North Indian Ocean by Nikos Katzourakis
Cover of the book Engineering Embedded Systems by Nikos Katzourakis
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy