Abstract
In this chapter we will briefly compare our approach with the, by now classical, existence results obtained by the method of viscosity. We will discuss only the case of first order partial differential equations where our results are comparable with those obtained by the viscosity method. In the second order case, although some results could be compared, they are essentially of a different nature; a similar remark applies to systems of equations (see the bibliography and the introduction for more details).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media New York
About this chapter
Cite this chapter
Dacorogna, B., Marcellini, P. (1999). Comparison with Viscosity Solutions. In: Implicit Partial Differential Equations. Progress in Nonlinear Differential Equations and Their Applications, vol 37. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1562-2_4
Download citation
DOI: https://doi.org/10.1007/978-1-4612-1562-2_4
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7193-2
Online ISBN: 978-1-4612-1562-2
eBook Packages: Springer Book Archive