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 Algorithms for Sparsity-Constrained Optimization by Nikos Katzourakis
Cover of the book Cybersecurity Systems for Human Cognition Augmentation by Nikos Katzourakis
Cover of the book The Dialectical Forge by Nikos Katzourakis
Cover of the book Pediatric Board Study Guide by Nikos Katzourakis
Cover of the book Quantum Mechanics in Matrix Form by Nikos Katzourakis
Cover of the book Compilation for Secure Multi-party Computation by Nikos Katzourakis
Cover of the book Nanopositioning Technologies by Nikos Katzourakis
Cover of the book Language for Teaching Purposes by Nikos Katzourakis
Cover of the book Thermal Treatments of Canned Foods by Nikos Katzourakis
Cover of the book Management of Greywater in Developing Countries by Nikos Katzourakis
Cover of the book The Nature and Function of Intuitive Thought and Decision Making by Nikos Katzourakis
Cover of the book Intelligent Computing Theories and Methodologies by Nikos Katzourakis
Cover of the book Safety Assessment of Composite Cylinders for Gas Storage by Statistical Methods by Nikos Katzourakis
Cover of the book Computational Statics Revision Course by Nikos Katzourakis
Cover of the book Employers’ Economics versus Employees’ Economy 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