ON AN ALLEN-CAHN TYPE INTEGRODIFFERENTIAL EQUATION

Gianni Gilardi

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ON AN ALLEN-CAHN TYPE INTEGRODIFFERENTIAL EQUATION

机译：关于Allen-Cahn型积分微分方程

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摘要

An Allen-Cahn type system si transformed into an integraodiffer-ential equation. Results on well-posedness and long time behavior are presented.

机译：将Allen-Cahn型系统转换为积分微分方程。提出了关于适定性和长时间行为的结果。

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来源
《Discrete and continuous dynamical systems》 |2013年第3期|703-709|共7页
作者
Gianni Gilardi;
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作者单位

Dipartimento di Matematica 'F. Casorati' Universita di Pavia, via Ferrata 1 27100 Pavia, Italy;

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原文格式 PDF
正文语种 eng
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关键词
allen-cahn equation; integrodifferential equations; well posedness; long-time behavior.;

机译：艾伦卡恩方程积分微分方程;适当的姿势;长期行为。;

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专利

1. Unconditionally maximum principle preserving finite element schemes for the surface Allen-Cahn type equations [J] . Chemical geology . 2019,第期

机译：无条件地，表面艾伦-CAHN型方程的有限元方案保留有限元方案
2. Convergence of solutions of the weighted Allen-Cahn equations to Brakke type flow [J] . Qi Yuanwei, Zheng Gao-Feng Calculus of variations and partial differential equations . 2018,第5期

机译：加权艾伦 - CAHN方程溶液与Brakke型流量的融合
3. A class of quasi-linear Allen-Cahn type equations with dynamic boundary conditions [J] . Colli Pierluigi, Gilardi Gianni, Nakayashiki Ryota, Nonlinear Analysis: An International Multidisciplinary Journal . 2017,第期

机译：一类具有动态边界条件的准线性allen-cahn型方程
4. Existence of Solutions of Fractional Impulsive Integrodifferential Equations of Sobolev Type [C] . Natarajan Annapoorani Conference on non-integer order calculus and its applications . 2016

机译：Sobolev型分数阶脉冲积分微分方程解的存在性
5. The Modified Crank-Nicolson Scheme for the Allen-Cahn Equation and Mean Curvature Flow, and the Numerical Solutions for the Stochastic Allen-Cahn Equation [D] . Hu, Junzhao. 2017

机译：艾伦-CAHN方程和均值曲率流动的改进的曲柄 - 尼古尔森方案，以及随机艾伦 - CAHN方程的数值解
6. Solvability of some partial functional integrodifferential equations with finite delay and optimal controls in Banach spaces [O] . Khalil Ezzinbi, Patrice Ndambomve -1

机译：Banach空间中具有有限时滞和最优控制的某些泛函积分微分方程的可解性。
7. The Allen-Cahn type equation with multiple-well potentials and mean curvature flow equation(Viscosity Solution Theory of Differential Equations and its Developments) [O] . Ohtsuka Takeshi 2007

机译：具有多阱势和平均曲率流方程的Allen-Cahn型方程（微分方程的粘度解理论及其发展）
8. Optimal Control Problems for Integrodifferential Equations of Volterra Type. [R] . Kappel, F., Stettner, H. 1976

机译：Volterra型积分微分方程的最优控制问题。

ON AN ALLEN-CAHN TYPE INTEGRODIFFERENTIAL EQUATION

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