The first initial-boundary value problem for fully nonlinear parabolic equations generated by functions of the eigenvalues of the Hessian |
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| Authors: | Changyu Ren |
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| Institution: | Institute of Mathematics, Jilin University, Changchun 130012, PR China |
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| Abstract: | For a class of elliptic Hessian operators raised by Caffarelli-Nirenberg-Spruck, the corresponding parabolic Monge-Ampère equation was studied, the existence and uniqueness of the admissible solution to the first initial-boundary value problem for the equation were established, which extended a result of Ivochkina-Ladyzhenskaya. |
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| Keywords: | Hessian operators Fully nonlinear Admissible solution Monge-Ampè re type equation |
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