Results 31 to 40 of about 1,563,827 (90)
Convex-monotone functions and generalized solution of parabolic Monge–Ampère equation
, 2002 In this paper, we study the generalized solution of the first initial boundary value problem for the parabolic Monge–Ampère equation −utdetD2u=f(x,t) in Q=Ω×(0,T], u=ϕ(x,t) on ∂pQ.
Lian, Songzhe, Chen, Li, Wang, Guanglie
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Well‐Posedness for Time‐Fractional Diffusion With Singular Multiplicative Forcing
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.We consider a time‐fractional diffusion equation on ℝ with a possibly singular multiplicative forcing term. By exploiting an operator convolution identity, the original mild formulation is reduced to a Volterra integral equation involving the fractional diffusion family.
Ngo Ngoc Hung, Julian Pucheta
wiley +1 more source
Asymptotic behavior of solutions of Monge–Ampère equations with general perturbations of boundary values [PDF]
, 2023 In this paper, we consider the asymptotic behavior of solutions of Monge–Ampère equations with general boundary value conditions in half spaces, which reveals the accurate effect of boundary value condition on asymptotic behavior and improves the result ...
Jia, Xiaobiao, Li, Xuemei
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STABILITY OF SOLUTIONS TO COMPLEX MONGE-AMPERE FLOWS
, 2018 We establish a stability result for elliptic and parabolic complex Monge-Ampère equations on compact Kähler manifolds, which applies in particular to the Kähler-Ricci flow.
Zeriahi, Ahmed +2 more
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, 2020 In this paper, the equations and systems of Monge-Ampère with parameters are considered. We first show the uniqueness of of nontrivial radial convex solution of Monge-Ampère equations by using sharp estimates.
Feng Meiqiang
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Well‐Posed and Ill‐Posed Boundary Value Problems for PDE 2013
, 2013 Abstract and Applied Analysis, Volume 2013, Issue 1, 2013.
Allaberen Ashyralyev +5 more
wiley +1 more source
An integrable family of Monge-Ampère equations and their multi-Hamiltonian structure [PDF]
, 1993 We have identified a completely integrable family of Monge-Ampère equations through an examination of their Hamiltonian structure. Starting with a variational formulation of the Monge-Ampère equations we have constructed the first Hamiltonian operator ...
Nutku, Y. +4 more
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Gevrey regularity of subelliptic Monge-Ampère equations in the plane
, 2011 In this paper, we establish the Gevrey regularity of solutions for a class of degenerate Monge–Ampère equations in the plane. Under the assumptions that one principal entry of the Hessian is strictly positive and the coefficient of the equation is ...
Xu, Chao-Jiang +3 more
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A second order time integration method for the approximation of a parabolic 2D Monge-Ampère equation
, 2020 Parabolic fully nonlinear equations may be found in various applications, for instance in optimal portfolio management strategy. A numerical method for the approximation of a canonical parabolic Monge-Ampère equation is investigated in this work.
Gourzoulidis, Dimitrios +1 more
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Boundary Harnack inequality for the linearized Monge-Ampère equations and applications
, 2017 In this paper, we obtain boundary Harnack estimates and comparison theorem for nonnegative solutions to the linearized Monge-Ampère equations under natural assumptions on the domain, Monge-Ampère measures and boundary data.
Nam Le
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