Results 41 to 50 of about 61,943 (76)

A Comparison Principle for Parabolic Complex Monge–Ampère Equations

Journal of Geometric Analysis, 2021
In this paper, we study the Cauchy–Dirichlet problem for parabolic complex Monge–Ampère equations on strongly pseudoconvex domains using the viscosity method.
H. Do, T. N. Pham
semanticscholar   +1 more source

The L∞ estimate for parabolic complex Monge–Ampère equations

Analysis & PDE, 2023
Following the recent development by Guo-Phong-Tong and Chen-Cheng, we derived the $L^{\infty}$ estimate for K\"ahler-Ricci flows under a weaker assumption. The technique also extends to more general cases coming from different geometric backgrounds.
Qizhi Zhao
semanticscholar   +1 more source

Viscosity solutions to parabolic complex Monge–Ampère equations

Calculus of Variations and Partial Differential Equations, 2019
In this paper, we study the Cauchy–Dirichlet problem for Parabolic complex Monge–Ampère equations on a strongly pseudoconvex domain using the viscosity method. We extend the results in Eyssidieux et al.
H. Do, Giang Le, T. To
semanticscholar   +1 more source

A priori estimates for parabolic Monge–Ampère type equations

Mathematische Annalen
We prove the existence and regularity of convex solutions to the first initial-boundary value problem for the parabolic Monge-Amp\`ere equationn $$ \left\{\begin{eqnarray}&&-u_t+\det D^2u= \psi(x,t) \quad\quad\ \text{ in } Q_T,\newline&&u=\phi\quad\text{
Yang Zhou, Rui Zhu
semanticscholar   +1 more source

Ancient solutions of exterior problem of parabolic Monge–Ampère equations

Annali di Matematica Pura ed Applicata, 2020
Ziwei Zhou, Shuyu Gong, J. Bao
semanticscholar   +1 more source

The parabolic split-type Monge-Ampère on split tangent bundle surfaces

Calculus of Variations and Partial Differential Equations
We introduce a parabolic analogue of the elliptic split-type Monge-Ampère equation developed by Fang and the author, extending Streets’ twisted Monge-Ampère equation. The resulting equation is fully nonlinear and non-concave.
J. Jordan
semanticscholar   +1 more source

The obstacle problem for parabolic Monge-Ampère equation

Journal of Differential Equations, 2022
Ki-Ahm Lee, Taehun Lee, Jinwan Park
semanticscholar   +1 more source

Contact Relative Differential Invariants for Non Generic Parabolic Monge-Ampère Equations

, 2008
R. Alonso Blanco, G. Manno, F. Pugliese
semanticscholar   +1 more source

Ancient solutions to the parabolic Monge–Ampère equations with new asymptotic behavior at infinity

Journal of Differential Equations
Jiguang Bao, Zixiao Liu, Ziwei Zhou
semanticscholar   +1 more source

Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes

SIAM Review, 2021
Qiang Du, Lili Ju, Xiao Li
exaly