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On the exterior problem for parabolic k-Hessian equations

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The first author is supported by "the Fundamental Research Funds for the Central Universities" in UIBE (21QD20). The second author is supported in part by the NSFC (11871102)

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  • We use Perron method to prove the existence of ancient solutions of the exterior problem for parabolic k-Hessian equations $ -u_tS_k(D^2u) = 1 $ with prescribed asymptotic behavior at infinity.

    Mathematics Subject Classification: Primary: 35K55, 35A01.


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