Green's function for the boundary value problem of the static Klein-Gordon equation stated on a rectangular region and its convergence analysis

DOI10.1186/s13661-017-0803-zzbMath1374.26029OpenAlexW2615975999WikidataQ59525556 ScholiaQ59525556MaRDI QIDQ1678194

Hua Jiang, Hao Cheng, Xiyu Mu, Ming Wei, Guo Qing Liu

Publication date: 14 November 2017

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-017-0803-z

zbMATH Keywords

inverse problemGreen's functionKlein-Gordon equationboundary value problemrectangular region

Mathematics Subject Classification ID

Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20) Green's functions for elliptic equations (35J08)

Cites Work

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• Inverse problem for elliptic equation in a Banach space with Bitsadze–Samarsky boundary value conditions
• Construction of Green's Functions for the Two-dimensional Static Klein-Gordon Equation
• An inverse boundary value problem of determining three dimensional unknown inclusions in an elliptic equation
• Inverse boundary value problems with unknown boundaries: Optimal stability
• AN INVERSE BOUNDARY VALUE PROBLEM FOR A SECOND ORDER ELLIPTIC EQUATION IN A RECTANGLE
• On the numerical solution of the Klein‐Gordon equation
• Hölder regularity for solutions of ultraparabolic equations in divergence form

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