In this article we present several results concerning uniqueness of C-viscosity and Lp-viscosity solutions for fully nonlinear parabolic equations. In case of the Isaacs equations we allow lower order terms to have just measurable bounded coefficients. Higher-order coefficients are assumed to be Hölder continuous in x with exponent slightly less than 1/2. This case is treated by using stability of maximal and minimal Lp-viscosity solutions.
|Original language||English (US)|
|Number of pages||22|
|Journal||Communications on Pure and Applied Analysis|
|State||Published - Nov 2018|
Bibliographical notePublisher Copyright:
© 2018 American Institute of Mathematical Sciences. All rights reserved.
- Fully nonlinear equations
- Isaacs equations
- Viscosity solutions