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Viscosity solutions to parabolic complex Hessian type equations

Volume 129 / 2022

Hoang-Son Do Annales Polonici Mathematici 129 (2022), 97-116 MSC: Primary 35K55; Secondary 35K20, 32U05. DOI: 10.4064/ap220130-7-9 Published online: 6 October 2022

Abstract

We show the existence and uniqueness of a viscosity solution to the Cauchy–Dirichlet problem for a class of fully nonlinear parabolic equations. This extends recent results of Eyssidieux–Guedj–Zeriahi [Math. Ann. 362 (2015), 931–963].

Authors

  • Hoang-Son DoInstitute of Mathematics
    Vietnam Academy of Science and Technology
    18 Hoang Quoc Viet
    Hanoi, Vietnam
    e-mail
    e-mail

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