波动方程反演中边界条件下延拓的稳定性

Abstract

Abstract:

The transition matrix of the downward continuation of boundary conditions about elastic wave equation inversion was established. The solving method and stable conditions of the downward continuation of boundary conditions were obtained. The problem that the boundary conditions at downward continuation depth points cannot be determined has been solved so as to improve the speed and precision of inversion calculation.

Key words: inversion of elastic wave equation, boundary condition, down continuation, transition matrix, stability

CLC Number:

O175.2

LI Yanbo, GUO Hua. Stability of Downward Continuation of BoundaryConditions of Wave Equation Inversion[J].Journal of Jilin University Science Edition, 2014, 52(04): 743-745.

[1]	HE Xingyue, GAO Chenghua. Existence of Positive Solutions of Fractional DifferentialEquations with Integral Boundary Conditions [J]. Journal of Jilin University Science Edition, 2020, 58(1): 9-14.
[2]	LING Zhengqiu, HE Bing. Blowup and Effectiveness Analysis in a Parabolic Equationwith Dissipative Gradient Function [J]. Journal of Jilin University Science Edition, 2020, 58(1): 47-53.
[3]	LI Lin, JIA Mei, LIU Xiping, SONG Junqiu. Existence of Positive Solutions for Nonhomogeneous Boundary Value Problems of Fractional Differential Equations with Sign Changing Nonlinearities#br# [J]. Journal of Jilin University Science Edition, 2019, 57(2): 219-228.
[4]	GENG Xinbiao, LIU Wen. Existence and Multiplicity of Solutions for a Class ofNonlinear Fractional Differential Equations withInfinitePoint Integral Boundary Conditions [J]. Journal of Jilin University Science Edition, 2018, 56(1): 23-27.
[5]	JIN Manli, LIN Yuguo. tationary Distribution of Stochastic SIREpidemic Model and Its Stability [J]. Journal of Jilin University Science Edition, 2017, 55(06): 1379-1386.
[6]	LIU Juan, ZHANG Xin. Stability of a Class of Delayed SIQR Epidemic Models [J]. Journal of Jilin University Science Edition, 2017, 55(06): 1477-1480.
[7]	LI Haixia, HAN Yuzhu. BlowUp Profile of Solutions for a Class of ParabolicEquations with Nonlocal Boundary Conditions [J]. Journal of Jilin University Science Edition, 2017, 55(06): 1393-1397.
[8]	SU Yan. Global Structure of Positive Solutions for SecondOrderDifference Equations with Nonlinear Boundary Conditions [J]. Journal of Jilin University Science Edition, 2016, 54(05): 945-951.
[9]	ZHANG Lichun, HUANG Qingdao, YANG Yueting, CAI Shuyun. Local Stability of Two Periodic Positive Solutions ofa Second Order Rational Nonlinear Difference Equation [J]. Journal of Jilin University Science Edition, 2016, 54(03): 451-456.
[10]	CHEN Bin. Exsitence of Solutions for SecondOrder ThreePoint BoundaryValue Problem with Two Parameters Boundary Conditions [J]. Journal of Jilin University Science Edition, 2016, 54(02): 177-182.
[11]	XU Shuai, HUA Li, HOU Hanna. Hydrothermal Synthesis Magnetic Nanometer Microsphere ofNiFe₂O₄and Its Electrochemical Stability Analysis [J]. Journal of Jilin University Science Edition, 2016, 54(02): 388-390.
[12]	ZHANG Lei, YANG Yang, LIN Jie, LIU Xingyuan. Amplified Spontaneous Emission Propertiesof a BODIPY Derivative [J]. Journal of Jilin University Science Edition, 2015, 53(05): 1027-1030.
[13]	LIU Huaying, SUN Yi. Existence and Uniqueness of Solution for a Fractional Anti-periodic Boundary Problem with NonlinearTerm Containing Integral Operators [J]. Journal of Jilin University Science Edition, 2015, 53(05): 835-840.
[14]	GUAN Lihong, CHANG Jing, ZHAO Xin. Existence of Solutions for Some Elliptic Equations with Fractional [J]. Journal of Jilin University Science Edition, 2014, 52(04): 737-739.
[15]	SHI Sanzhi, YAN Li, WANG Zesheng. Maximum Likelihood Estimate of TimeVaryingParameter Autoregression Model [J]. Journal of Jilin University Science Edition, 2013, 51(06): 1098-1100.

Stability of Downward Continuation of BoundaryConditions of Wave Equation Inversion

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 10