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arXiv 1007.0076math.AGmath.CVmath.DG
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退化复蒙日-安培方程的黏性解

Viscosity solutions to degenerate Complex Monge-Ampère equations

Philippe Eyssidieux, Vincent Guedj, Ahmed Zeriahi

摘要:

基于黏性解的概念,我们发展了紧致Kähler流形上退化复蒙日-安培方程的另一种求解方法,并系统地比较了粘性解与多位势理论解.我们推广到Kähler的情况下的定理由于Dinew和张在投影的情况下,其效果,他们的多能解构造的作者以前是连续的。

英文摘要:

We develop an alternative approach to Degenerate complex Monge-Ampère equations on compact Kähler manifolds based on the concept of viscosity solutions and compare systematically viscosity concepts with pluripotential theoretic ones. We generalize to the Kähler case a theorem due to Dinew and Zhang in the projective case to the effect that their pluripotential solutions constructed previously by the authors are continuous.

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