Lecture notes on Viscosity Solutions for fully nonlinear 2nd order PDE and applications to Calculus of Variations in $L^\infty$

Nikos Katzourakis

Lecture notes on Viscosity Solutions for fully nonlinear 2nd order PDE and applications to Calculus of Variations in $L^\infty$

Analysis of PDEs 2014-11-11 v1

Authors: Nikos Katzourakis

Abstract

The purpose of these expository notes is to give a quick and elementary, yet rigorous, presentation of the rudiments of the theory of Viscosity Solutions for fully nonlinear 2nd order PDE, with applications to Calculus of Variations in the space $L^\infty$ .

Keywords

viscosity solutions fully nonlinear PDE second order PDE Calculus of Variations $L^\infty$ space expository notes

Cite

@article{arxiv.1411.2567,
  title  = {Lecture notes on Viscosity Solutions for fully nonlinear 2nd order PDE and applications to Calculus of Variations in $L^\infty$},
  author = {Nikos Katzourakis},
  journal= {arXiv preprint arXiv:1411.2567},
  year   = {2014}
}

Comments

This is a preprint. According to the copyright agreement, the final publication is available at Springer via http://dx.doi.org/10.1007/978-3-319-12829-0

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