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Article Contents

# Multi-valued solutions to a class of parabolic Monge-Ampère equations

• In this paper, we investigate the multi-valued solutions of a class of parabolic Monge-Ampère equation $-u_{t}\det(D^{2}u)=f$. Using the Perron method, we obtain the existence of finitely valued and infinitely valued solutions to the parabolic Monge-Ampère equations. We generalize the results of elliptic Monge-Ampère equations and Hessian equations.
Mathematics Subject Classification: Primary: 35K96, 35D40.

 Citation:

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