The Global Classical Solution and Asymptotic Behavior of the Cauchy Problem for Hyperbolic Monge-Ampère Equation-Reference-Cited by-同舟云学术

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The Global Classical Solution and Asymptotic Behavior of the Cauchy Problem for Hyperbolic Monge-Ampère Equation

Published:2023-11-10 Issue:1 Volume:79 Page:
ISSN:1422-6383
Container-title:Results in Mathematics
language:en
Short-container-title:Results Math

Author:

Jiang Qinfeng,Wei Changhua,Xing Tiantian

Funder

Zhejiang Provincial Outstanding Youth Science Foundation

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Link

https://link.springer.com/content/pdf/10.1007/s00025-023-02028-9.pdf

Reference19 articles.

1. Caffarelli, L., Nirenberg, L., Spruck, J.: The dirichlet problem for nonlinear second-order elliptic equations i. Monge-Ampégre equation. Commun. Pure Appl. Math. 37(3), 369–402 (1984)

2. Chang, S.-Y.A., Gursky, M.J., Yang, P.C.: An equation of Monge-Ampère type in conformal geometry, and four-manifolds of positive ricci curvature. Ann. Math. 155, 709–787 (2002)

3. Delanoë, P.: Classical solvability in dimension two of the second boundary-value problem associated with the Monge-Ampère operator. In: Annales de l’Institut Henri Poincaré C, Analyse non linéaire, pp. 443–457. Elsevier, (1991)

4. Evans, L.C.: Partial differential equations, vol. 19. American Mathematical Society (2022)

5. Gangbo, W., McCann, R.J.: The geometry of optimal transportation. (1996)

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