ASYMPTOTIC EXPANSIONS OF THE SOLUTIONS TO THE HEAT EQUATIONS WITH GENERALIZED FUNCTIONS INITIAL VALUE

机译：具有广义功能的热方程的渐近扩展初始值

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摘要

We will drive the asymptotic expansions of solutions of the heat equation withgeneralized functions initial data.

机译：我们将通过一起式函数初始数据推动热方程的解的渐近扩展。

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来源
《ICM Satellite Conference on Complex Analysis and Potential Theory》|2007年||共9页
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作者
KUNIO YOSHINO; YASUYUKI OKA;
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原文格式 PDF
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中图分类 O17-532;
关键词
Heat Equation; Asymptotic expansion; Tempered Distributions; Distributions of exponential growth and Fourier Hyperfunctions;

机译：热方程;渐近扩张;钢化分布;指数增长和傅立叶超功能的分布;

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1. Asymptotic expansions of the solutions to the heat equations with hyperfunctions initial value [J] . Kunio Yoshino, Yasuyuki Oka Communications of the Korean Mathematical Society . 2008,第4期

机译：具有超函数初始值的热方程解的渐近展开
2. Asymptotic behaviour of solutions to the generalized Becker-Doring equations for general initial data [J] . Rincon JAC Proceedings of the Royal Society. Mathematical, physical and engineering sciences . 2005,第2064期

机译：一般初始数据的广义Becker-Doring方程解的渐近行为
3. Asymptotic expansions in a general system of decaying functions for solutions of the Navier-Stokes equations [J] . Annali di matematica pura ed applicata . 2020,第3期

机译：Navier-Stokes方程解决方案腐朽函数的一般系统中的渐近扩展
4. ASYMPTOTIC EXPANSIONS OF THE SOLUTIONS TO THE HEAT EQUATIONS WITH GENERALIZED FUNCTIONS INITIAL VALUE [C] . KUNIO YOSHINO, YASUYUKI OKA ICM Satellite Conference on Complex Analysis and Potential Theory . 2007

机译：具有广义功能的热方程的渐近扩展初始值
5. Asymptotic expansion of ODE type solutions to nonlinear diffusion equations [D] . Eom Junyong 2019

机译：非线性扩散方程的ODE型解的渐近展开。
6. Corrigendum to On a Nonlinear Wave Equation Associated with Dirichlet Conditions: Solvability and Asymptotic Expansion of Solutions in Many Small Parameters [O] . Le Thi Phuong Ngoc, Le Khanh Luan, Tran Minh Thuyet, 2017

机译：更正为关于与狄利克雷条件相关的非线性波动方程：许多小参数的可解性和解的渐近展开
7. Nonlinear Schrodinger equations with superposed delta-functions as initial data (Evolution Equations and Asymptotic Analysis of Solutions) [O] . Kita Naoyasu 2005

机译：带有增量函数作为初始数据的非线性Schrodinger方程（演化方程和解的渐近分析）
8. THE ASYMPTOTIC SOLUTION OF LINEAR SECOND ORDER DIFFERENTIAL EQUATIONS IN A DOMAIN CONTAINING A TURNING POINT AND REGULAR SINGULARITY THE ASYMPTOTIC EXPANSION OF LEGENDRE FUNCTIONS OF LARGE DEGREE AND ORDER [R] . R. C. THORNE 1956

机译：具有转动点和正则奇异性的一个区域中线性二阶微分方程的渐近解 - 大阶和阶数的LEGENDRE函数的渐近展开

ASYMPTOTIC EXPANSIONS OF THE SOLUTIONS TO THE HEAT EQUATIONS WITH GENERALIZED FUNCTIONS INITIAL VALUE

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