The maximum principle and sign changing solutions of the hyperbolic equation with the Higgs potential

DOI10.1016/j.jmaa.2018.05.014zbMath1406.35077arXiv1712.02631OpenAlexW2963006205WikidataQ129856914 ScholiaQ129856914MaRDI QIDQ1635600

Andras Balogh, Karen Yagdjian

Publication date: 31 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.02631

zbMATH Keywords

de Sitter space-timebubblessemilinear Klein-Gordon equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Maximum principles in context of PDEs (35B50) Second-order semilinear hyperbolic equations (35L71)

Related Items

A dissipation-preserving scheme to approximate radially symmetric solutions of the Higgs boson equation in the de Sitter space-time, A dissipation-preserving finite-difference scheme for a generalized Higgs boson equation in the de Sitter space-time, A numerically efficient variational algorithm to solve a fractional nonlinear elastic string equation, An efficient dissipation-preserving Legendre-Galerkin spectral method for the Higgs boson equation in the de Sitter spacetime universe, An implicit and convergent method for radially symmetric solutions of Higgs' boson equation in the de Sitter space-time, A novel integral transform approach to solving hyperbolic equations in the curved space-times, Design and analysis of a dissipative scheme to solve a generalized multi-dimensional Higgs boson equation in the de Sitter space-time, On the solution of a generalized Higgs boson equation in the de Sitter space-time through an efficient and Hamiltonian scheme, An energy-preserving computational approach for the semilinear space fractional damped Klein-Gordon equation with a generalized scalar potential

Uses Software

• CUDA

Cites Work

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