Uniqueness for L_p-viscosity solutions for uniformly parabolic Isaacs equations with measurable lower order terms

2017/10/25 by Krylov, N. V.
#35B65 #35K55 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1710.09353

Abstract

In this article we present several results concerning uniqueness of C-viscosity and L_p-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 L_p-viscosity solutions.

Related

• On C^1+α regularity of solutions of Isaacs parabolic equations with VMO coefficients
• To the theory of viscosity solutions for uniformly parabolic Isaacs equations
• Uniqueness of viscosity solutions of a geometric fully nonlinear parabolic equation
• To the theory of viscosity solutions for uniformly elliptic Isaacs equations
• Weak Harnack inequality for fully nonlinear uniformly parabolic equations with unbounded ingredients and applications