An Integral Formula Adapted to Different Boundary Conditions for Arbitrarily High-Dimensional Nonlinear Klein–Gordon Equations

Xinyuan Wu () and Bin Wang
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Xinyuan Wu: Nanjing University, Department of Mathematics
Bin Wang: Qufu Normal University, School of Mathematical Sciences

Chapter Chapter 9 in Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations, 2018, pp 221-250 from Springer

Abstract: Abstract This chapterArbitrarily high-dimensional nonlinear Klein–Gordon equations is concerned with the initial-boundary value problem for arbitrarily high-dimensional Klein–Gordon equations, posed on a bounded domain $$\varOmega \subset \mathbb {R}^d$$ for $$d \ge 1$$ and subject to suitable boundary conditions. We derive and analyse an integral formula which proves to be adapted to different boundary conditions for general Klein–Gordon equations in arbitrarily high-dimensional spaces.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-10-9004-2_9

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DOI: 10.1007/978-981-10-9004-2_9

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