An introduction to viscosity solutions for fully nonlinear PDE with applications to calculus of variations in L∞

Resource Information

The work An introduction to viscosity solutions for fully nonlinear PDE with applications to calculus of variations in L∞ represents a distinct intellectual or artistic creation found in University of Liverpool. This resource is a combination of several types including: Work, Language Material, Books.

Label

An introduction to viscosity solutions for fully nonlinear PDE with applications to calculus of variations in L∞

Statement of responsibility

Nikos Katzourakis

Creator

• Katzourakis, Nikos
• Katzourakis, Nikos

Author

• Katzourakis, Nikos
• Katzourakis, Nikos

Subject

• Calculus of variations
• Differential equations, Nonlinear
• Differential equations, Partial

Language

eng

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

Member of

• Online access with purchase: Springer
• SpringerBriefs in mathematics

Cataloging source

N$T

Dewey number

• 515/.353
• 510

Illustrations

illustrations

Index

no index present

LC call number

QA377

Literary form

non fiction

Nature of contents

• dictionaries
• bibliography

Series statement

SpringerBriefs in Mathematics,