Existence and uniqueness of viscosity solutions for parabolic Hessian equations

Xuewen Guo; Huawei Zhao

doi:10.1117/12.2639496

17 May 2022 Existence and uniqueness of viscosity solutions for parabolic Hessian equations

Xuewen Guo, Huawei Zhao

Proceedings Volume 12259, 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022); 122591X (2022) https://doi.org/10.1117/12.2639496
Event: 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing, 2022, Kunming, China

Abstract

We use the Newton–Maclaurin inequality to explore the problems related to the viscosity solutions for parabolic Hessianequations, in which the existence and uniqueness are studied, the equations is − y_t + S_k(D ²y) = g.

Citation Download Citation

Xuewen Guo and Huawei Zhao "Existence and uniqueness of viscosity solutions for parabolic Hessian equations", Proc. SPIE 12259, 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022), 122591X (17 May 2022); https://doi.org/10.1117/12.2639496

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