Counterexamples in Inverse Problems for Parabolic, Elliptic, and Hyperbolic Equations

A. B. Kostin

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Counterexamples in Inverse Problems for Parabolic, Elliptic, and Hyperbolic Equations

机译：抛物线形，椭圆形和双曲型方程反问题的反例

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Examples of inverse problems of source reconstruction with nonunique solutions are con- structed. Problems for parabolic, elliptic, and hyperbolic equations are considered. Additional data (overdetermination) is specified as a final observation condition.

机译：构造了具有非唯一解的源重构反问题示例。考虑抛物线，椭圆和双曲方程的问题。附加数据（超测定）被指定为最终观察条件。

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《Computational mathematics and mathematical physics》 |2014年第5期|共14页
作者
A. B. Kostin;
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正文语种 eng
中图分类计算数学;
关键词
counterexamples; inverse problems; final observation; parabolic; elliptic; and hyperbolic equations.;

机译：反例;反问题;最终观察;抛物线形;椭圆形;双曲型方程;

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专利

1. Counterexamples in Inverse Problems for Parabolic, Elliptic, and Hyperbolic Equations [J] . A. B. Kostin Computational mathematics and mathematical physics . 2014,第5期

机译：抛物线形，椭圆形和双曲型方程反问题的反例
2. Path integral solution of linear second order partial differential equations - II: elliptic, parabolic, and hyperbolic cases [J] . LaChapelle J Annals of Physics . 2004,第2期

机译：线性二阶偏微分方程的路径积分解-II：椭圆，抛物线和双曲情形
3. Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations [J] . G.Adomian International journal of mathematics and mathematical sciences . 1989,第1期

机译：分解在双曲，抛物线和椭圆型偏微分方程中的应用
4. Stability of Linear Fractional Differential Equations with Delays: a coupled Parabolic-Hyperbolic PDEs formulation [C] . F. Monteghetti, G. Haine, D. Matignon IFAC World Congress . 2018

机译：具有延迟线性分数微分方程的稳定性：耦合抛物线 - 双曲线PDE配方
5. Inverse Source Problems for Elliptic and Parabolic Equations [D] . Li, Qitong. 2019

机译：椭圆和抛物型方程的逆源问题
6. Linear Parabolic Differential Equations of Arbitrary Order; General Boundary-Value Problems for Elliptic Equations [O] . Felix E. Browder 1953

机译：任意阶线性抛物线方程椭圆方程的一般边值问题
7. Path Integral Solution of Linear Second Order Partial Differential Equations II. Elliptic, Parabolic and Hyperbolic Cases [O] . J. Lachapelle 2004

机译：线性二阶偏微分方程的路径积分解II。椭圆，抛物线和双曲线情形

Counterexamples in Inverse Problems for Parabolic, Elliptic, and Hyperbolic Equations

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